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Let’s consider the fraction 1/2.
Some equivalent fractions to 1/2 are:
2/4
3/6
4/8
5/10
6/12
and so on…The key to generating equivalent fractions is to multiply the numerator and denominator by the same nonzero number.
For example, to get from 1/2 to 2/4, we multiply both the numerator and denominator by 2:
1/2 = (1 x 2) / (2 x 2) = 2/4To get from 2/4 to 3/6, we multiply both the numerator and denominator by 3/2:
2/4 = (2 x 3/2) / (4 x 3/2) = 3/6And so on. As long as you multiply both the numerator and denominator by the same number, you will create an equivalent fraction.
The fractions 2/4, 3/6, 4/8, 5/10, 6/12 etc. all represent the same value as 1/2, they are just expressed using different numerators and denominators. This is the essence of equivalent fractions.