Equivalent (or Equal) Fraction
Equivalent Fraction- If the numerator & denominator of a fraction are multiplied or divided by the same nonzero number, we get an equivalent fraction, the value of the fraction remains unchanged.
Example.
5 5 X 5 25
1) ------- = ------------ = --------
7 7 X 5 35
5 5 X 2 10
------- = ----------- = -------
7 7 X 2 14
5 5 X 3 15
------- = ------------ = --------
7 7 X 3 21
5 5 X 4 20
------- = -------------- = ---------
7 7 X 4 28
24 10 15 20 25
So, -------- = -------- = -------- = ------- = -------- (Ans.)
7 14 21 28 35
36 36 ÷ 3 12
2) -------- = ----------- = --------
48 48 ÷ 3 16
36 36 ÷ 4 9
-------- = ------------- = --------
48 48 ÷ 4 12
36 36 ÷ 6 6
-------- = ------------ = --------
48 48 ÷ 6 8
36 36 ÷ 12 3
-------- = ------------ = -------
48 48 ÷ 12 4
36 12 9 6 3
So, -------- = -------- = -------- = -------- = ------- (Ans.)
48 16 12 8 4
a c
Two fractions ------- and ------- are equivalent if ad = bc
b d
as a example fractions 5/7 and 7/9 are not equivalent fractions because 5 X 9 ≠ 7 X 7 (Ans.)