Page 88 - New Medley 4 Semester 2 PDF (Merged)

We can get equivalent fractions of a given fraction by multiplying its
numerator and denominator by the same number.

2 2÷2 1 3 3÷ 3 1 4 4÷ 4 1
Also, note that = = = = = =
4 4÷ 2 2 6 6÷ 3 2 8 8÷ 4 2

We can get equivalent fractions of a given fraction by dividing its numerator
and denominator by the same number.

Example 1: Using multiplication or division, find the equivalent

fractions of the following:
3 48
(a) (b)
4 80

Solution: (a) We multiply the numerator and the denominator of the
given fraction by the same number to get equivalent

fractions.

3 3×2 6 3 3×3 9
= = ; = = ;
4 4×2 8 4 4×3 12

3 3×4 12 3 3×5 15
= = ; = = ; …
4 4×4 16 4 4×5 20

3 6 9 12 15
Thus, the fractions ,, , , , … are equivalent
4 8 12 16 20

fractions.

(b) We divide the numerator and the denominator of the
given fraction by the same number to get equivalent

fractions.

48 48÷2 24 48 48÷4 12
= = ; = = ;
80 80÷2 40 80 80÷4 20

48 48÷8 6 48 48÷16 3
= = ; = = ;…
80 80÷8 10 80 80÷16 5

48 24 12 6 3
Thus, the fractions , , , , ,… are equivalent
80 40 20 10 5
fractions.

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