{"id":10908,"date":"2026-11-02T02:04:39","date_gmt":"2026-11-02T02:04:39","guid":{"rendered":"https:\/\/kapdec.com\/help\/?p=10908"},"modified":"2026-11-02T02:04:39","modified_gmt":"2026-11-02T02:04:39","slug":"fractions-introduction-types","status":"publish","type":"post","link":"https:\/\/kapdec.com\/help\/fractions-introduction-types\/","title":{"rendered":"Fractions – Introduction & Types"},"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>: Fractions \u2013 Introduction & Types<\/h3>\n

Reference<\/strong>: \u2013 Introduction to Fractions, Numerator and Denominator, Fraction as Part of a Whole, Unit Fractions, Proper Fractions, Improper Fractions, Mixed Fractions, Like and Unlike Fractions, Equivalent Fractions<\/em><\/p>\n

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

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  • Introduction to Fractions & Their Meaning<\/li>\n
  • Numerator and Denominator<\/li>\n
  • Fraction as Part of a Whole<\/li>\n
  • Unit Fractions<\/li>\n
  • Proper and Improper Fractions<\/li>\n
  • Mixed Fractions & Conversions<\/li>\n
  • Like and Unlike Fractions<\/li>\n
  • Equivalent Fractions<\/li>\n<\/ul>\n

    Fractions, Introduction<\/strong><\/p>\n

    \u00a0<\/p>\n

    What is a fraction?<\/strong><\/p>\n

    A fraction is a part of a whole i.e. if something is broken into parts, a fraction shows how many parts we are left with out of all those parts.<\/p>\n

    \"\"<\/p>\n

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

    A fraction has two parts i.e. the numerator <\/strong>and the denominator.<\/strong><\/p>\n

    \u00a0<\/p>\n

    It is expressed in the form:Numerator<\/em><\/strong>Denominator<\/em><\/strong><\/p>\n

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

    (Denominator \u2260 0)<\/p>\n

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    \u00a0<\/p>\n

    Let us look at the shaded portion in the following figures-<\/p>\n

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

    Here 3<\/em>4<\/em>and<\/em>3<\/em>5<\/em><\/p>\n

    \"\"<\/p>\n

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

    \u00a0both are fractions. The coloured portion represents the part of a whole expressed as a fraction.<\/p>\n

    \u00a0<\/p>\n

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

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    1. What fraction of a year is 5 months?<\/li>\n<\/ol>\n

      \u00a0<\/p>\n

      No. of months in a year = 12<\/p>\n

      Fraction of the year represented by 5 months =5<\/em><\/strong>12<\/em><\/strong><\/p>\n

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

      \u00a0<\/p>\n

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      1. Write first 10 natural numbers. What fraction of these numbers are prime?<\/li>\n<\/ol>\n

        \u00a0<\/p>\n

        First 10 natural numbers = 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10<\/p>\n

        Prime numbers among these = 2, 3, 5 and 7<\/p>\n

        So, the fraction =4<\/em><\/strong>10<\/em><\/strong><\/p>\n

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

        \u00a0<\/p>\n

        Fractions on a number line<\/strong><\/p>\n

        We have learnt to represent whole numbers on a number line. We can also represent fractions on the number line since every fraction has got a corresponding point on the number line.<\/p>\n

        \u00a0<\/p>\n

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

          \n
        1. Represent 1<\/em>2<\/em>\n
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          Source: Kapdec.com<\/p>\n<\/div>\n

          \u00a0on the number line.<\/li>\n<\/ol>\n

          \u00a0<\/p>\n

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          • 1<\/em>2<\/em>\n
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            Source: Kapdec.com<\/p>\n<\/div>\n

            \u00a0is greater than 0 but is less than 1. It represents 1 part after dividing a whole into 2 parts.<\/li>\n

          • So, we divide the space between 0 and 1 into two equal parts and show one of the parts as the fraction 1<\/em>2<\/em>\n
            \"\"<\/p>\n

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

            \u00a0<\/p>\n

            \"\"<\/p>\n

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

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

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              \u00a0on the number line.<\/li>\n<\/ol>\n

              \u00a0<\/p>\n

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              • 3<\/em>5<\/em>\n
                \"\"<\/p>\n

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

                \u00a0is greater than 0 but is less than 1. It represents 3 parts after dividing a whole into 5 parts.<\/li>\n

              • So, first we divide the space between 0 and 1 into five equal parts.<\/li>\n
              • Then we show the first part as\u00a0 1<\/em>5<\/em>, <\/em>\n
                \"\"<\/p>\n

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

                second part as\u00a0 2<\/em>5<\/em><\/p>\n

                \"\"<\/p>\n

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                , third part as\u00a0 3<\/em>5<\/em><\/p>\n

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

                and fourth part as 4<\/em>5<\/em><\/p>\n

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

                .<\/li>\n<\/ul>\n

                \u00a0<\/p>\n

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                \u00a0<\/p>\n

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

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

                  \u00a0on the number line.<\/li>\n<\/ol>\n

                  \u00a0<\/p>\n

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                  • 3<\/em>3<\/em>5<\/em>\n
                    \"\"<\/p>\n

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

                    \u00a0is greater than 3 but is less than 4. It represents 3 whole and 3 parts after dividing a whole into 5 parts.<\/li>\n

                  • So, first we divide the space between 3 and 4 into five equal parts.<\/li>\n
                  • Then we show the first part as\u00a0 31<\/em>5<\/em>, <\/em>\n
                    \"\"<\/p>\n

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

                    second part as\u00a0 32<\/em>5<\/em><\/p>\n

                    \"\"<\/p>\n

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

                    , third part as\u00a0 33<\/em>5<\/em><\/p>\n

                    \"\"<\/p>\n

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

                    and fourth part as 34<\/em>5<\/em><\/p>\n

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

                    .<\/li>\n<\/ul>\n

                    \u00a0<\/p>\n

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

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