Question

If $\frac{9}{7}$ and $\frac{a}{63}$ are equivalent fractions, then the value of $a$ is ___ .

• A. 18
• B. 60
• C. 81
• D. 30

Answer 1

The correct option is C

81

$\frac{9}{7}=\frac{a}{63}$ are equivalent fractions.

Equivalent fractions are obtained when you divide or multiply both numerator and denominator with the same number.

Here in the denominator, 7 $\times 9=63$

So, 9 (numerator) has to be multiplied by 9 to get $a$.

Hence, $a=9\times 9=81$

Therefore, $\frac{9\times 9}{7\times 9}=\frac{81}{63}$.