Question

If $\frac{6}{13}$ and $\frac{2a}{78}$ are equivalent fractions, then the value of $a$ is ___ .

• A. 18
• B. 12
• C. 36
• D. 6

Answer 1

The correct option is A 18

$\frac{6}{13}=\frac{2a}{78}$ are equivalent fractions.

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

Here in the denominator, 13 $\times 6=78$

So, 6 (numerator) has to be multiplied by 6 to get $2a$.

Hence, $2a=6\times 6=36$
And, a = $\frac{36}{2}=18$

Therefore, $\frac{6\times 6}{13\times 6}=\frac{36}{78}$.