What are equivalent fractions and how can we find them ? Equivalent fractions are fractions that name the same number or amount.
The fractions 5/5 and 8/8 name the same number ( 1 ) since 5/5 = 1 and
8/8 = 1. Therefore, 5/5 and 8/8 are equivalent fractions.
In the figure below, notice how the shaded area represents the same number that is 0.5.
Since 1/2 and 4/8 name the same number, they are equivalent fractions.
To find equivalent fractions, you can just multiply or divide the numerator and denominator by the same non-zero number.
This does not change the value of the fraction since you are really multiplying the fraction by a different name for 1( 2/2, 3/3, 4/4, ...)
Example
Find the fraction that is equivalent to 5/6.
Just multiply 5/6 by a different name for 1 such as 8/8
5/6 × 8/8 = (5 × 8) / (6 × 8) = 40/48
5/6 and 40/48 are equivalent fractions.
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