How do I convert repeating decimal like 21.6666 repeater into a fraction?\n<\/p><\/blockquote>\n
It helps to know which fractions tend to give you repeating decimals. Anything in the thirds family may give you a repeater. Remembering that the ‘\/’ symbol also means divide, put <\/p>\n
1\/3 <\/p>\n
into your calculator and you’ll get<\/p>\n
0.3333 repeater<\/p>\n
Do the same for 1\/6 and you’ll get 0.16666 repeater, which you may have noticed is one-half of 0.33333 repeater.<\/p>\n
So 0.66666 repeater is twice as big as 0.33333 repeater. Therefore 0.66666 repeater is twice one third. That gives us two thirds or 2\/3. Put that into your calculator to verify.<\/p>\n
Now we know that 21.66666 repeater is equal to <\/p>\n
21 2\/3 <\/p>\n
It is also helpful to note that the sevenths family of numbers also tend to be repeaters. Put 1\/7 into your calculator and you will get <\/p>\n
0.14285714285714285714285714285714<\/p>\n
Note that in the case you’d need to draw a line over the 142857 as that’s the part that repeats.<\/p>\n","protected":false},"excerpt":{"rendered":"
A student asks, How do I convert repeating decimal like 21.6666 repeater into a fraction? It helps to know which fractions tend to give you repeating decimals. Anything in the thirds family may give you a repeater. Remembering that the ‘\/’ symbol also means divide, put 1\/3 into your calculator and you’ll get 0.3333 repeater … Continue reading A student asks about repeating decimals<\/span> →<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[7],"tags":[],"class_list":["post-196","post","type-post","status-publish","format-standard","hentry","category-essential-skills"],"_links":{"self":[{"href":"https:\/\/legacy.lwebs.ca\/index.php\/wp-json\/wp\/v2\/posts\/196"}],"collection":[{"href":"https:\/\/legacy.lwebs.ca\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/legacy.lwebs.ca\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/legacy.lwebs.ca\/index.php\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/legacy.lwebs.ca\/index.php\/wp-json\/wp\/v2\/comments?post=196"}],"version-history":[{"count":0,"href":"https:\/\/legacy.lwebs.ca\/index.php\/wp-json\/wp\/v2\/posts\/196\/revisions"}],"wp:attachment":[{"href":"https:\/\/legacy.lwebs.ca\/index.php\/wp-json\/wp\/v2\/media?parent=196"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/legacy.lwebs.ca\/index.php\/wp-json\/wp\/v2\/categories?post=196"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/legacy.lwebs.ca\/index.php\/wp-json\/wp\/v2\/tags?post=196"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}