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find a common denominator for the pair of fractions. then write equivalent fractions with the common denominator. using the common denominator, what is an equivalent fraction for 1/8?1/8 and 3/7

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EXPLANATION

Given the fractions:

1/8 and 3/7

In order to find the Common denominator we need to apply the prime factorization as follows:

Prime factorization of 8: 2*2*2

Prime factorization of 7: 7

Multiply each factor the greatest number of times it occurs in either 8 or 7:

= 2*2*2*7

Multiply the numbers: 2*2*2*7 = 56

So, the common denominator is 56