Question

$\frac{2}{3}$ and $\frac{3}{4}$ as like fractions are

• A. $\frac{2}{12}$ and $\frac{3}{12}$
• B. $\frac{3}{12}$ and $\frac{4}{12}$
• C. $\frac{6}{12}$ and $\frac{9}{12}$
• D. $\frac{8}{12}$ and $\frac{9}{12}$

Answer 1

The correct option is D

$\frac{8}{12}$ and $\frac{9}{12}$

L.C.M. of the denominators of the given fractions is 12.

So, inorder to make the denominators of $\frac{2}{3}$ and $\frac{3}{4}$ same, we multiply the numerator and the denominator of $\frac{2}{3}$ by 4 and numerator and the denominator of $\frac{3}{4}$ by 3.

That is, $\frac{2\times 4}{3\times 4}$ = $\frac{8}{12}$ and $\frac{3\times 3}{4\times 3}$ = $\frac{9}{12}$

Therefore, $\frac{2}{3}$ and $\frac{3}{4}$ as like fractions are $\frac{8}{12}$ and $\frac{9}{12}$.