{"id":956,"date":"2022-03-02T23:25:59","date_gmt":"2022-03-03T02:25:59","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=956"},"modified":"2024-03-14T12:24:21","modified_gmt":"2024-03-14T15:24:21","slug":"patterned-selfie-fractions","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=956","title":{"rendered":"Selfie Fractions"},"content":{"rendered":"\n<p class=\"has-text-align-justify\">By\u00a0<strong>selfie fractions<\/strong>, we understand that a\u00a0<strong>fraction<\/strong>, where\u00a0<strong>numerators<\/strong>\u00a0and\u00a0<strong>denominators<\/strong>\u00a0are represented by<strong>\u00a0same digits<\/strong>, with\u00a0<strong>basic operation<\/strong>. This paper brings patterned selfie fractions.\u00a0<strong>Patterned selfie fractions<\/strong>\u00a0are understood as\u00a0<strong>selfie fractions extendable in symmetric way.<\/strong>\u00a0This work is with repeated digits.\u00a0Below is a link for download the work:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Inder J. Taneja,&nbsp;<em>Patterned Selfie Fractions<\/em>,&nbsp;<strong>Zenodo<\/strong>, October 27, 2019, pp. 1-267, <a href=\"http:\/\/doi.org\/10.5281\/zenodo.3520096\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>http:\/\/doi.org\/10.5281\/zenodo.3520096<\/strong><\/a><\/li>\n<\/ul>\n\n\n\n<p>Below few slides of examples:<\/p>\n\n\n\n<div class=\"wp-block-jetpack-slideshow aligncenter\" data-autoplay=\"true\" data-delay=\"2\" data-effect=\"slide\"><div class=\"wp-block-jetpack-slideshow_container swiper-container\"><ul class=\"wp-block-jetpack-slideshow_swiper-wrapper swiper-wrapper\"><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img fetchpriority=\"high\" decoding=\"async\" width=\"832\" height=\"1024\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1049\" data-id=\"1049\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M1-1-832x1024.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M1-1-832x1024.png 832w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M1-1-600x738.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M1-1-244x300.png 244w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M1-1-768x945.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M1-1-535x658.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M1-1-1248x1536.png 1248w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M1-1.png 1255w\" sizes=\"(max-width: 832px) 100vw, 832px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" width=\"958\" height=\"1024\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1050\" data-id=\"1050\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/K19-1-958x1024.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/K19-1-958x1024.png 958w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/K19-1-600x642.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/K19-1-281x300.png 281w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/K19-1-768x821.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/K19-1-535x572.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/K19-1.png 1125w\" sizes=\"(max-width: 958px) 100vw, 958px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" width=\"790\" height=\"1024\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1051\" data-id=\"1051\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/N850-51-790x1024.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/N850-51-790x1024.png 790w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/N850-51-600x778.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/N850-51-231x300.png 231w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/N850-51-768x995.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/N850-51-535x693.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/N850-51.png 1071w\" sizes=\"(max-width: 790px) 100vw, 790px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"902\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1048\" data-id=\"1048\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D138-2-1024x902.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D138-2-1024x902.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D138-2-600x528.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D138-2-300x264.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D138-2-768x676.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D138-2-535x471.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D138-2.png 1299w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"853\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1037\" data-id=\"1037\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D519-20-2-1024x853.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D519-20-2-1024x853.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D519-20-2-600x500.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D519-20-2-300x250.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D519-20-2-768x640.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D519-20-2-535x445.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D519-20-2.png 1297w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"774\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1044\" data-id=\"1044\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D98-2-1024x774.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D98-2-1024x774.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D98-2-600x454.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D98-2-300x227.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D98-2-768x581.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D98-2-535x404.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D98-2.png 1287w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1006\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1047\" data-id=\"1047\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D927-28-2-1024x1006.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D927-28-2-1024x1006.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D927-28-2-600x589.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D927-28-2-300x295.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D927-28-2-768x754.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D927-28-2-535x526.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D927-28-2.png 1296w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"707\" height=\"1024\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1046\" data-id=\"1046\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/K7-2-707x1024.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/K7-2-707x1024.png 707w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/K7-2-600x869.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/K7-2-207x300.png 207w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/K7-2-768x1113.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/K7-2-535x775.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/K7-2-1060x1536.png 1060w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/K7-2.png 1092w\" sizes=\"(max-width: 707px) 100vw, 707px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"975\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1045\" data-id=\"1045\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D263-64-2-1024x975.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D263-64-2-1024x975.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D263-64-2-600x571.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D263-64-2-300x286.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D263-64-2-768x731.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D263-64-2-535x509.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D263-64-2.png 1289w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"836\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1043\" data-id=\"1043\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/N130-1024x836.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/N130-1024x836.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/N130-600x490.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/N130-300x245.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/N130-768x627.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/N130-535x437.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/N130.png 1078w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"796\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1040\" data-id=\"1040\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D809-10-2-1024x796.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D809-10-2-1024x796.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D809-10-2-600x467.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D809-10-2-300x233.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D809-10-2-768x597.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D809-10-2-535x416.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D809-10-2.png 1287w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"984\" height=\"1024\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1041\" data-id=\"1041\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D675-80-2-984x1024.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D675-80-2-984x1024.png 984w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D675-80-2-600x624.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D675-80-2-288x300.png 288w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D675-80-2-768x799.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D675-80-2-535x557.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D675-80-2.png 1260w\" sizes=\"(max-width: 984px) 100vw, 984px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"895\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1042\" data-id=\"1042\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D427-28-2-1024x895.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D427-28-2-1024x895.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D427-28-2-600x524.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D427-28-2-300x262.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D427-28-2-768x671.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D427-28-2-535x467.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D427-28-2.png 1282w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"811\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1038\" data-id=\"1038\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D965-67-2-1024x811.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D965-67-2-1024x811.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D965-67-2-600x475.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D965-67-2-300x238.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D965-67-2-768x608.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D965-67-2-535x424.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D965-67-2.png 1247w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"681\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1036\" data-id=\"1036\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D106-2-1024x681.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D106-2-1024x681.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D106-2-600x399.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D106-2-300x199.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D106-2-768x511.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D106-2-535x356.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D106-2.png 1262w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"718\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1039\" data-id=\"1039\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D19-2-1024x718.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D19-2-1024x718.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D19-2-600x421.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D19-2-300x210.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D19-2-768x538.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D19-2-535x375.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D19-2.png 1278w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"644\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1035\" data-id=\"1035\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D86-2-1024x644.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D86-2-1024x644.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D86-2-600x377.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D86-2-300x189.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D86-2-768x483.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D86-2-535x336.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D86-2.png 1274w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"528\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1034\" data-id=\"1034\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D14-2-1024x528.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D14-2-1024x528.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D14-2-600x309.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D14-2-300x155.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D14-2-768x396.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D14-2-535x276.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D14-2.png 1283w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"820\" height=\"1024\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1028\" data-id=\"1028\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M10-820x1024.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M10-820x1024.png 820w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M10-600x750.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M10-240x300.png 240w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M10-768x960.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M10-535x668.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M10-1229x1536.png 1229w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M10.png 1239w\" sizes=\"(max-width: 820px) 100vw, 820px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"824\" height=\"1024\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1027\" data-id=\"1027\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M9-824x1024.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M9-824x1024.png 824w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M9-600x746.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M9-241x300.png 241w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M9-768x955.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M9-535x665.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M9-1235x1536.png 1235w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M9.png 1249w\" sizes=\"(max-width: 824px) 100vw, 824px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"832\" height=\"1024\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1026\" data-id=\"1026\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M8-832x1024.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M8-832x1024.png 832w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M8-600x738.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M8-244x300.png 244w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M8-768x945.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M8-535x658.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/M8-1248x1536.png 1248w, 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class=\"wp-block-jetpack-slideshow_image wp-image-965\" data-id=\"965\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D519-20-1024x853.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D519-20-1024x853.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D519-20-600x500.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D519-20-300x250.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D519-20-768x640.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D519-20-535x445.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D519-20.png 1297w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"895\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-964\" data-id=\"964\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D427-28-1024x895.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D427-28-1024x895.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D427-28-600x524.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D427-28-300x262.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D427-28-768x671.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D427-28-535x467.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D427-28.png 1282w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"975\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-963\" data-id=\"963\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D263-64-1024x975.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D263-64-1024x975.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D263-64-600x571.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D263-64-300x286.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D263-64-768x731.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D263-64-535x509.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D263-64.png 1289w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"902\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-962\" data-id=\"962\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D138-1024x902.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D138-1024x902.png 1024w, 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https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D98-768x581.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D98-535x404.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D98.png 1287w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"644\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-959\" data-id=\"959\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D86-1024x644.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D86-1024x644.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D86-600x377.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D86-300x189.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D86-768x483.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D86-535x336.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D86.png 1274w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"718\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-958\" data-id=\"958\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D19-1024x718.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D19-1024x718.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D19-600x421.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D19-300x210.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D19-768x538.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D19-535x375.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D19.png 1278w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"528\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-957\" data-id=\"957\" src=\"http:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D14-1024x528.png\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D14-1024x528.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D14-600x309.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D14-300x155.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D14-768x396.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D14-535x276.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D14.png 1283w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/li><\/ul><a class=\"wp-block-jetpack-slideshow_button-prev swiper-button-prev swiper-button-white\" role=\"button\"><\/a><a class=\"wp-block-jetpack-slideshow_button-next swiper-button-next swiper-button-white\" role=\"button\"><\/a><a aria-label=\"Pause Slideshow\" class=\"wp-block-jetpack-slideshow_button-pause\" role=\"button\"><\/a><div class=\"wp-block-jetpack-slideshow_pagination swiper-pagination swiper-pagination-white\"><\/div><\/div><\/div>\n\n\n\n<p><\/p>\n\n\n\n<p>Below is a complete list of author\u2019s work in this direction:<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Selfie Fractions<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Inder J. Taneja,&nbsp;<em>Selfie Fractions: Addable, Subtractable, Dottable and Potentiable<\/em>,&nbsp;<strong>Zenodo<\/strong>, March 24, 2019, pp. 1-260,&nbsp;<a href=\"http:\/\/doi.org\/10.5281\/zenodo.2604531\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>http:\/\/doi.org\/10.5281\/zenodo.2604531<\/strong><\/a><\/li>\n\n\n\n<li>Inder J. Taneja,&nbsp;<em>Pandigital Equivalent Selfie Fractions<\/em>,&nbsp;<strong>Zenodo<\/strong>, April 02, 2019, pp. 1-392,&nbsp; <a href=\"http:\/\/doi.org\/10.5281\/zenodo.2622028\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>http:\/\/doi.org\/10.5281\/zenodo.2622028<\/strong><\/a><\/li>\n\n\n\n<li>Inder J. Taneja,&nbsp;<em>Repeated Digits Selfie Fractions: Two and Three Digits Numerators<\/em>,&nbsp;<strong>Zenodo<\/strong>, Septembr 12, 2019, pp. 1-1091,&nbsp;<a href=\"http:\/\/doi.org\/10.5281\/zenodo.3406655\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>http:\/\/doi.org\/10.5281\/zenodo.3406655<\/strong><\/a><\/li>\n\n\n\n<li>Inder J. Taneja,&nbsp;<em>Different Digits Selfie Fractions: Two and Three Digits Numerators \u2013 Revised<\/em>,&nbsp;<strong>Zenodo<\/strong>, September, 12, 2019, pp. 1-337, <a href=\"http:\/\/doi.org\/10.5281\/zenodo.3474091\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>http:\/\/doi.org\/10.5281\/zenodo.3474091<\/strong><\/a><\/li>\n\n\n\n<li>Inder J. Taneja,&nbsp;<em>Different Digits Selfie Fractions: Four Digits Numerator<\/em>,&nbsp;<strong>Zenodo<\/strong>, October 06, 2019, pp. 1-844,&nbsp;<a href=\"http:\/\/doi.org\/10.5281\/zenodo.3474267\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>http:\/\/doi.org\/10.5281\/zenodo.3474267<\/strong><\/a><\/li>\n\n\n\n<li>Inder J. Taneja,&nbsp;<em>Different Digits Selfie Fractions: Five Digits Numerator \u2013 Pandigital<\/em>,&nbsp;<strong>Zenodo<\/strong>, October 06, 2019, pp. 1-362,&nbsp;<a href=\"http:\/\/doi.org\/10.5281\/zenodo.3474379\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>http:\/\/doi.org\/10.5281\/zenodo.3474379<\/strong><\/a><\/li>\n\n\n\n<li>Inder J. Taneja,&nbsp;<em>Patterned Selfie Fractions<\/em>,&nbsp;<strong>Zenodo<\/strong>, October 27, 2019, pp. 1-267, &nbsp;<a href=\"http:\/\/doi.org\/10.5281\/zenodo.3520096\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>http:\/\/doi.org\/10.5281\/zenodo.3520096<\/strong><\/a><\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>By\u00a0selfie fractions, we understand that a\u00a0fraction, where\u00a0numerators\u00a0and\u00a0denominators\u00a0are represented by\u00a0same digits, with\u00a0basic operation. This paper brings patterned selfie fractions.\u00a0Patterned selfie fractions\u00a0are understood as\u00a0selfie fractions extendable in symmetric way.\u00a0This work is with repeated digits.\u00a0Below is a link for download the work: Below few slides of examples: Below is a complete list of author\u2019s work in this direction: [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":957,"comment_status":"closed","ping_status":"open","sticky":false,"template":"elementor_theme","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[16],"tags":[],"class_list":["post-956","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-selfie-numbers-and-fractions"],"jetpack_featured_media_url":"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/D14.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/956","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=956"}],"version-history":[{"count":6,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/956\/revisions"}],"predecessor-version":[{"id":11586,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/956\/revisions\/11586"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/957"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=956"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=956"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=956"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}