{"id":38225,"date":"2025-06-26T08:52:04","date_gmt":"2025-06-26T08:52:04","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=38225"},"modified":"2025-06-26T08:52:05","modified_gmt":"2025-06-26T08:52:05","slug":"convert-this-fraction-into-the-decimal-form","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/convert-this-fraction-into-the-decimal-form\/","title":{"rendered":"Convert this fraction into the decimal form"},"content":{"rendered":"\n<p>Convert this fraction into the decimal form: 17\/12<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Decimal Form of 17\/12:<\/strong><\/p>\n\n\n\n<p>The fraction <strong>17\/12<\/strong> is equal to <strong>1.4166&#8230;<\/strong> or <strong>1.4167<\/strong> (rounded to 4 decimal places). It is a repeating decimal.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Explanation<\/strong><\/p>\n\n\n\n<p>To convert a fraction to its decimal form, divide the numerator (top number) by the denominator (bottom number). In this case, we divide 17 by 12.<\/p>\n\n\n\n<p>Start with long division:<br>12 goes into 17 <strong>once<\/strong>, since 12 \u00d7 1 = 12.<br>17 &#8211; 12 = 5, so the remainder is 5.<br>We now add a decimal point and a zero to continue.<\/p>\n\n\n\n<p>Bring down a zero: 50<br>12 goes into 50 <strong>four<\/strong> times (12 \u00d7 4 = 48)<br>50 &#8211; 48 = 2<\/p>\n\n\n\n<p>Bring down another zero: 20<br>12 goes into 20 <strong>once<\/strong> (12 \u00d7 1 = 12)<br>20 &#8211; 12 = 8<\/p>\n\n\n\n<p>Bring down another zero: 80<br>12 goes into 80 <strong>six<\/strong> times (12 \u00d7 6 = 72)<br>80 &#8211; 72 = 8<\/p>\n\n\n\n<p>Bring down another zero: 80 again<br>You will see that from here, the same pattern continues with 80 repeating, so 6 keeps repeating.<\/p>\n\n\n\n<p>Therefore, the full decimal form is:<br><strong>1.41666&#8230;<\/strong><br>The digit <strong>6<\/strong> repeats forever. We write it as <strong>1.416\u0305<\/strong> or approximate it as <strong>1.4167<\/strong> for practical rounding.<\/p>\n\n\n\n<p>This type of decimal is called a <strong>repeating decimal<\/strong>, since it does not terminate (stop), but follows a repeating pattern.<\/p>\n\n\n\n<p>Fractions where the denominator does not have only 2 or 5 as prime factors (like 12, which has 2 and 3), often result in repeating decimals. If the denominator can be expressed as a product of only 2s and 5s (like 10, 20, 100), then the decimal terminates.<\/p>\n\n\n\n<p>In this case, since 12 includes the factor 3, the decimal repeats. Understanding this helps in math, especially when converting between fractions and decimals, comparing numbers, or solving real-world problems that involve measurements and finances.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1013.jpeg\" alt=\"\" class=\"wp-image-38250\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1013.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1013-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1013-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Convert this fraction into the decimal form: 17\/12 The Correct Answer and Explanation is: Decimal Form of 17\/12: The fraction 17\/12 is equal to 1.4166&#8230; or 1.4167 (rounded to 4 decimal places). It is a repeating decimal. Explanation To convert a fraction to its decimal form, divide the numerator (top number) by the denominator (bottom [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-38225","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/38225","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=38225"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/38225\/revisions"}],"predecessor-version":[{"id":38261,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/38225\/revisions\/38261"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=38225"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=38225"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=38225"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}