Question

Which fraction is equivalent to $\frac{2}{6}$?

• A. $\frac{3}{7}$, because $\frac{2}{6}=\frac{2+1}{6+1}=\frac{3}{7}$
• B. $\frac{3}{9}$, because $\frac{2}{6}=\frac{1}{3}and\frac{1}{3}=\frac{3}{9}$
• C. $\frac{3}{12}$, because $\frac{2}{6}=\frac{1}{3}and\frac{1}{3}=\frac{3}{12}$
• D. $\frac{3}{8}$, because $\frac{2}{6}=\frac{1}{2}=\frac{2+1}{6+2}=\frac{3}{8}$

Answer 1

The correct option is B

$\frac{3}{9}$, because $\frac{2}{6}=\frac{1}{3}and\frac{1}{3}=\frac{3}{9}$

Explanation for the correct answer:

Given fraction is $\frac{2}{6}$.

$$\begin{gathered} \frac{2}{6}=\frac{2\times 1}{2\times 3} \\ =\frac{1}{3} \end{gathered}$$

Now multiply the numerator and denominator by $3$.

$\Rightarrow \frac{1\times 3}{3\times 3}=\frac{3}{9}$

Therefore, the correct answer is option (B).