Page 60 - Math Skill - 5
P. 60

58                                                                                                  Maths

        To get an equivalent fraction of lower numerator (or denominator):

            ™   Obtain the common factor as above.
            ™   Divide the higher numerator and denominator by the common factor.


               Let’s Attempt


                             15        3
        Example 1:  Are          and   equivalent fractions?
                             20        4

        Solution:       15       3     ⇒ 15 × 4 = 60; 20 × 3 = 60
                        20       4
                       Products are equal. Thus, they are equivalents.

                        15        3
                            and   are equivalent fractions.
                        20        4


               Let’s Attempt

        Example 2:  Fill in the correct numerator.
                        2
                           =
                        3     15

        Solution:      Rule 1:     Divide higher denominator by lower denominator.

                                   15 ÷ 3 = 5      ⇒ Common factor = 5
                       Rule 2:       Multiply lower numerator and denominator by common factor, i.e., 5.


                                    25×   =  10            ⇒ \   2   =   10
                                    35      15                   3     15
                                      ×


                                                   Exercise 5.1


          1. Write the fractional number and the fraction representing the shaded portion.

                                              5                                       Fraction = _____
                                  Fraction =
              (a)                             6                    (b)
                                  Fractional number                                   Fractional number = _____
                                  = Five-sixths




              (c)               Fraction = _____                   (d)               Fraction = _____
                                Fractional number = _____                            Fractional number = _____



          2. Are all these fractions equivalent? Answer in ‘YES’ or ‘NO’.
                    3        9                        49        7                     27        3
              (a)     and                        (b)      and                     (c)     and
                    4       12                        63       11                     36        4
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