{"id":114,"date":"2022-04-12T09:36:02","date_gmt":"2022-04-12T09:36:02","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=114"},"modified":"2025-04-07T11:50:32","modified_gmt":"2025-04-07T11:50:32","slug":"f-8-convert-between-mixed-numbers-and-improper-fractions","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/f-8-convert-between-mixed-numbers-and-improper-fractions\/","title":{"rendered":"F.8 Convert between mixed numbers and improper fractions"},"content":{"rendered":"\n

Convert between mixed numbers and improper fractions<\/strong><\/h2>\n\n\n\n

Key notes:<\/p>\n\n\n\n

\n

What is a mixed number?<\/em><\/h3>\n\n\n\n

A mixed number is a number made up of a whole number and a proper fraction together. For example, the number 21\/3 is a mixed number.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Mixed numbers are sometimes called mixed fractions.<\/p>\n\n\n\n

What is an improper fraction?<\/h3>\n\n\n\n

An improper fraction is a fraction where the numerator is greater than or equal to the denominator. For example,7\/3 is an improper fraction, since 7 is larger than 3.<\/p>\n\n\n\n

\"The<\/figure>\n\n\n\n

You can see the improper fraction 7\/3 below. There are 7 thirds:<\/p>\n\n\n\n

\"Three<\/figure>\n\n\n\n

Improper fractions are sometimes called “top-heavy” fractions.<\/p>\n\n\n\n

How do you convert a mixed number to an improper fraction?<\/h3>\n\n\n\n

You might notice that the pictures for 213 and 73 above are the same! You can use mixed numbers and improper fractions to show the same amount. This picture shows 2 and 13, and it also shows 7 thirds.<\/p>\n\n\n\n

\"Three<\/figure>\n\n\n\n

Let’s say you have a mixed number and want to write it as an improper fraction. This can be helpful for when you want to multiply or divide mixed numbers. To change a mixed number to an improper fraction, follow these steps:<\/p>\n\n\n\n

    \n
  1. Multiply the whole number by the denominator.<\/li>\n\n\n\n
  2. Add that number to the numerator.<\/li>\n\n\n\n
  3. Write that sum on top of the original denominator.<\/li>\n<\/ol>\n\n\n\n

    Let’s try it with 2 3\/4<\/strong>. First, multiply the whole number by the denominator.<\/p>\n\n\n\n

    2<\/strong>\u00d74<\/strong>=8<\/p>\n\n\n\n

    Next, add that number to the numerator.<\/p>\n\n\n\n

    8+3<\/strong>=11<\/p>\n\n\n\n

    Now write the improper fraction!<\/p>\n\n\n\n

    11\/4<\/strong><\/p>\n\n\n\n

    So, 2 3\/4 is the same as 11\/4.<\/p>\n\n\n\n

    How do you convert an improper fraction to a mixed number?<\/h3>\n\n\n\n

    You can go the other direction, too! To change an improper fraction to a mixed number, follow these steps:<\/p>\n\n\n\n

      \n
    1. Divide the numerator by the denominator.<\/li>\n\n\n\n
    2. Write down the whole number part of the quotient.<\/li>\n\n\n\n
    3. Take the remainder and write it over the original denominator.<\/li>\n<\/ol>\n\n\n\n

      Let’s try it with 9\/4.<\/p>\n\n\n\n

       First, divide.<\/p>\n\n\n\n

      9\/4=9\u00f74<\/strong>=2<\/strong> R1<\/strong><\/p>\n\n\n\n

      Write down the whole number part, 2. Then take the remainder and write it over the original denominator. That’s your answer!<\/p>\n\n\n\n

      2 1\/4<\/strong><\/p>\n\n\n\n

      So, 94 is the same as 2 1\/4<\/strong>.<\/p>\n\n\n\n

      What if there’s no remainder?<\/h3>\n\n\n\n

      That means you have a whole number! Look at 12\/4 as an example.<\/p>\n\n\n\n

      \"Three<\/figure>\n\n\n\n

      First, divide the numerator by the denominator.<\/p>\n\n\n\n

      12\/4=12\u00f74=3<\/p>\n\n\n\n

      There’s no remainder, so your answer is just the whole number 3!<\/p>\n\n\n\n

      Learn with an example<\/strong><\/p>\n\n\n\n

      \n

      \ud83d\udd25Write 10 1\/2 as an improper fraction._______<\/strong><\/p>\n\n\n\n

      Rewrite 10 as a fraction with 2 as the denominator.<\/p>\n\n\n\n

      10 = 10 x 2\/1 x 2 = 20 \/ 2<\/p>\n\n\n\n

      Now add the fractions.<\/p>\n\n\n\n

      20 \/ 2 + 1 \/ 2 = 21 \/ 2<\/p>\n\n\n\n

      10 1\/2 is equal to 21 \/2<\/p>\n<\/div><\/div>\n\n\n\n

      \n

      \ud83d\udd25Write 6 6\/7 as an improper fraction._____<\/strong><\/p>\n\n\n\n

      Rewrite 6 as a fraction with 7 as the denominator.<\/p>\n\n\n\n

      6 = 6 x 7 \/ 1 x 7 = 42 \/ 7<\/p>\n\n\n\n

      Now add the fractions..<\/p>\n\n\n\n

      42\/7 + 6\/7 = 48\/7<\/p>\n\n\n\n

      6 6 \/7 is equal to 48\/7<\/p>\n<\/div><\/div>\n\n\n\n

      \n

      \ud83d\udd25Write 1 1\/4 as an improper fraction.______<\/strong><\/p>\n\n\n\n

      Rewrite 1 as a fraction with 4 as the denominator.<\/p>\n\n\n\n

      1 = 1 x 4 \/ 1 x 4 = 4\/4<\/p>\n\n\n\n

      Now add the fractions.<\/p>\n\n\n\n

      4\/4 +1\/4 = 5\/4<\/p>\n\n\n\n

      1 1\/4 is equal to 5\/4<\/p>\n<\/div><\/div>\n\n\n\n

      Let’s practice!<\/p>\n<\/div><\/div>\n\n\n\n

      \n
      \n
      \"\"<\/a><\/figure>\n<\/div>\n\n\n\n
      \n
      \"\"<\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

      Convert between mixed numbers and improper fractions Key notes: What is a mixed number? A mixed number is a number made up of a whole number and a proper fraction together. For example, the number 21\/3 is a mixed number. Mixed numbers are sometimes called mixed fractions. What is an improper fraction? An improper fraction is a fraction where the numerator is greater than or equal to the denominator. ForContinue reading “F.8 Convert between mixed numbers and improper fractions”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"footnotes":""},"class_list":["post-114","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/114","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=114"}],"version-history":[{"count":31,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/114\/revisions"}],"predecessor-version":[{"id":15957,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/114\/revisions\/15957"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=114"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}