Question

Three equivalent fractions of $\frac{2}{3}$ are _______ .

• A. $\frac{2}{6},\frac{3}{6},\frac{4}{12}$
• B. $\frac{4}{6},\frac{6}{9},\frac{8}{12}$
• C. $\frac{3}{6},\frac{7}{6},\frac{8}{12}$
• D. $\frac{4}{6},\frac{8}{6},\frac{3}{6}$

Answer 1

The correct option is B $\frac{4}{6},\frac{6}{9},\frac{8}{12}$

For such kind of questions we should always check the options and verify them:

It can be noted that the fractions $\frac{4}{6},\frac{6}{9},\frac{8}{12}$ can be written as:

$\frac{4}{6}=\frac{2\times 2}{2\times 3}=\frac{2}{3}$

$\frac{6}{9}=\frac{2\times 3}{3\times 3}=\frac{2}{3}$

$\frac{8}{12}=\frac{2\times 4}{4\times 3}=\frac{2}{3}$

Thus the correct answer is $\frac{4}{6},\frac{6}{9},\frac{8}{12}$