Page 59 - Math Skill - 5
P. 59
Fractions 57
We find that the fractional numbers are different but the amount is the same. Each one of them
ate half pizza.
Two or more fractions that represent the same amount are called equivalent fractions.
Here, 1 , 2 and 4 are equivalent fractions, i.e., 1 = 2 = 4
2 4 8 2 4 8
To get the equivalents of a given fraction, we multiply the numerator and denominator
of the fraction by a common number other than 0 and 1.
For example: 1 × 2 = 2 Fact-o-meter
5 2 10
To get the equivalents of a given fraction, we � A fraction multiplied by 0
divide the numerator and the denominator of the equals 0.
fraction by a common number other than 0 and 1. � We can write infinite number
of equivalent fractions for a
For example: 2 ÷ 2 = 1 given fraction.
10 ÷ 2 5
Let’s Attempt
3
Example 1: Find four equivalent fractions of 5 .
Solution: To obtain four equivalent fractions of 3 , we multiply its numerator and
5
denominator by 2, 3, 4 and 5 respectively.
32× 6 33× 9
(i) = (ii) =
52× 10 53 15
×
34× 12 35× 15
(iii) = (iv) =
54× 20 55 25
×
3
6 , 9 12 and 15 are equivalent fractions of .
,
10 15 20 25 5
Checking Equivalence of Two Fractions
Two fractions are said to be equivalent if the product of the numerator of first fraction and the
denominator of second fraction is equal to the product of numerator of second fraction and
denominator of first fraction.
In other words, two fractions are equivalent if:
Numerator (of first fraction) × Denominator (of second fraction) =
Numerator (of second fraction) × Denominator (of first fraction)
Finding Equivalent Fractions with given Numerator or Denominator
To get an equivalent fraction of higher numerator (or denominator):
Find the common factor by dividing higher denominator (or numerator) by lower
denominator (or numerator).
Multiply the lower numerator and denominator by the common factor.
