{"id":10868,"date":"2026-11-02T02:02:53","date_gmt":"2026-11-02T02:02:53","guid":{"rendered":"https:\/\/kapdec.com\/help\/?p=10868"},"modified":"2026-11-02T02:02:53","modified_gmt":"2026-11-02T02:02:53","slug":"scaling-types-of-fractions","status":"publish","type":"post","link":"https:\/\/kapdec.com\/help\/scaling-types-of-fractions\/","title":{"rendered":"Scaling & Types Of Fractions"},"content":{"rendered":"
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KAPDEC® | Elite STEM Learning Platform | https:\/\/kapdec.com<\/a><\/p>\n

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Unit<\/strong>: Number System<\/h2>\n

Chapter<\/strong>: Scaling & Types of Fractions<\/h3>\n

Reference<\/strong>: \u2013 Introduction to Scaling, Scaling in Fractions (Equivalent Fractions through Multiplication & Division), Scaling Up and Scaling Down, Types of Fractions (Proper, Improper, Mixed, Like, Unlike, Unit), Converting Between Improper Fractions and Mixed Fractions, Real-Life Applications of Scaling<\/em><\/p>\n

After studying this chapter, you should be able to understand:<\/p>\n

    \n
  • Introduction to Scaling & Its Meaning<\/li>\n
  • Scaling in Fractions (Equivalent Fractions)<\/li>\n
  • Scaling Up and Scaling Down<\/li>\n
  • Types of Fractions (Proper, Improper, Mixed, Like, Unlike, Unit)<\/li>\n
  • Converting Between Improper Fractions and Mixed Fractions<\/li>\n
  • Real-Life Applications of Scaling<\/li>\n<\/ul>\n

    Comparison of Fractions<\/strong><\/p>\n

    \u00a0<\/p>\n

    Comparing fractions with same denominators-<\/strong><\/p>\n

    Suppose a chocolate has 8 parts. Peter has 5 parts of the chocolate whereas Aaron has remaining 3 parts. Who has more chocolate?<\/strong><\/p>\n

    \u00a0<\/p>\n

    It is obvious that Peter has more chocolate than Aaron since he has 5 parts.<\/p>\n

    When we express this in fraction form, we can write,<\/p>\n

    Chocolate Peter has = 5<\/em>8<\/em><\/p>\n

    \"\"<\/p>\n

    Source: Kapdec.com<\/p>\n<\/div>\n

    Chocolate Aaron has = 3<\/em>8<\/em><\/p>\n

    \"\"<\/p>\n

    Source: Kapdec.com<\/p>\n<\/div>\n

    Here Peter has more parts than Aaron.\u00a0<\/p>\n

    So, 5<\/em><\/strong>8<\/em><\/strong>><\/em><\/strong>3<\/em><\/strong>8<\/em><\/strong><\/p>\n

    \"\"<\/p>\n

    Source: Kapdec.com<\/p>\n<\/div>\n

    Thus, Peter has more chocolate.<\/p>\n

    \"\"<\/p>\n

    Source: Kapdec.com<\/p>\n<\/div>\n

    So, we can say, if two fractions have the same denominator i.e. they are like fractions<\/strong>, then the fraction with greater numerator is greater.<\/p>\n

    Examples-<\/strong><\/p>\n

      \n
    1. 3<\/em>6<\/em><<\/em>5<\/em>6<\/em>\n
      \"\"<\/p>\n

      Source: Kapdec.com<\/p>\n<\/div>\n<\/li>\n<\/ol>\n

      \u00a0<\/p>\n

        \n
      1. 9<\/em>15<\/em>><\/em>7<\/em>15<\/em>\n
        \"\"<\/p>\n

        Source: Kapdec.com<\/p>\n<\/div>\n<\/li>\n<\/ol>\n

        Comparing fractions with same numerators-<\/strong><\/p>\n

        If two fractions have same numerators, then the fraction with greater denominator is smaller.<\/p>\n

        \u00a0<\/p>\n

        \"\"<\/p>\n

        Source: Kapdec.com<\/p>\n<\/div>\n

        Dividing a whole in more number of parts makes each part smaller.<\/p>\n

        Therefore, greater the denominator, smaller would be the number.<\/p>\n

        \u00a0<\/p>\n

        Examples-<\/strong><\/p>\n

          \n
        1. 5<\/em>12<\/em><<\/em>5<\/em>9<\/em>\n
          \"\"<\/p>\n

          Source: Kapdec.com<\/p>\n<\/div>\n<\/li>\n<\/ol>\n

          \u00a0<\/p>\n

            \n
          1. 7<\/em>15<\/em>><\/em>7<\/em>19<\/em>\n
            \"\"<\/p>\n

            Source: Kapdec.com<\/p>\n<\/div>\n<\/li>\n<\/ol>\n

            \u00a0<\/p>\n

            \u00a0<\/p>\n

            Comparing Mixed Fractions<\/strong><\/p>\n

            \u00a0<\/p>\n

            If there are two mixed fractions-<\/p>\n

              \n
            • First, we compare the whole part. The fraction with greater whole part is greater.<\/li>\n<\/ul>\n

              \u00a0<\/p>\n

                \n
              • If the whole part is same, then we compare the fractional part as we have learnt above. The fraction with greater fractional part is greater in such case.<\/li>\n<\/ul>\n

                \u00a0<\/p>\n

                  \n
                • We can also compare two mixed fractions by converting them into improper fractions and then comparing them like other fractions.<\/li>\n<\/ul>\n

                  Examples- <\/strong><\/p>\n

                  Compare:<\/p>\n

                  \u00a0<\/p>\n

                    \n
                  1. 2<\/em>3<\/em>5<\/em><\u00a0 5<\/em>1<\/em>5<\/em>\n
                    \"\"<\/p>\n

                    Source: Kapdec.com<\/p>\n<\/div>\n

                    \u00a0\u00a0<\/li>\n<\/ol>\n

                    \u00a0<\/p>\n

                      \n
                    1. 8<\/em>7<\/em>9<\/em>>\u00a0 5<\/em>2<\/em>9<\/em>\n
                      \"\"<\/p>\n

                      Source: Kapdec.com<\/p>\n<\/div>\n<\/li>\n<\/ol>\n

                      \u00a0<\/p>\n

                        \n
                      1. 2<\/em>3<\/em>9<\/em>>\u00a0 2<\/em>2<\/em>9<\/em>\n
                        \"\"<\/p>\n

                        Source: Kapdec.com<\/p>\n<\/div>\n<\/li>\n<\/ol>\n

                        \u00a0<\/p>\n

                          \n
                        1. 13<\/em>17<\/em>22<\/em>>\u00a0 13<\/em>12<\/em>22<\/em>\n
                          \"\"<\/p>\n

                          Source: Kapdec.com<\/p>\n<\/div>\n<\/li>\n<\/ol>\n

                          \u00a0<\/p>\n

                          In each one of the above examples, first, we compare the whole number part of the mixed fraction and arrive at conclusion.<\/p>\n

                          If we find whole numbers are equal, then we compare the fractional component of the mixed number.<\/p>\n

                          \u00a0<\/p>\n

                          Try This\u2026<\/u><\/strong><\/p>\n

                          #What is the value of 12 of23 of34 of45 of56 of67 of78 of89 of910 of 1,000<\/p>\n

                          \"\"<\/p>\n

                          Source: Kapdec.com<\/p>\n<\/div>\n

                          ?<\/p>\n

                          Solution<\/strong>– 100<\/p>\n

                          \u00a0<\/p>\n

                          <\/p>\n