What are equivalent fractions to 7 over 8?

Answer 1

To form an equivalent fraction, multiply (or divide) the numerator (top number) and denominator (bottom number) by the same value:

7/8 = (7×2)/(8×2) = 14/16

7/8 = (7×3)/(8×3) = 21/24

7/8 = (7×4)/(8×4) = 28/32

7/8 = (7×5)/(8×5) = 35/40

7/8 = (7×16)/(8×16) = 112/128

and so on.

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To check if a fraction is equivalent to another, simplify each by dividing both the numerator and denominator by any common factor of the numerator and the denominator (though using the highest common factor does it in one step) until the only common factor is 1. Then the simplified fractions will be the same (both have the same numerators and same denominators) if the original fractions were equivalent.

In this case, 7/8 is already in simplest form, so any other fractions must simplify to 7/8 to be equivalent.

eg 63/72 = (7×9)/(8×9) = 7/8 = 7/8 so 63/72 is equivalent to 7/8

eg 64/72 = (8×8)/(8×9) = 8/9 ≠ 7/8 so 64/72 is not equivalent to 7/8

Answer 2

There are infinitely many fractions which have the same value and, without a list of examples, it would be impossible to check them all.