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Question

If 27 and a21 are equivalent fractions, then what is the value of a ?

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Solution

We get equivalent fractions when we multiply or divide the numerator and denominator of a fraction by the same number.

We see that the denominator of a21 is thrice that of 27 i.e. 7×3=21.

Thus, the numerator of 27 should also be multiplied by 3, in order to have 27 equivalent to a21 .

27×33=621

On comparing a21 and 621, we get

a=6


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