Question

Match equivalent fractions.

• A. $\frac{2}{6}$
• B. $\frac{1}{2}$
• C. $\frac{9}{12}$
• D. $\frac{2}{3}$

Answer 1

Consider the fractions $\frac{1}{3}$ and $\frac{2}{6}$.
Note that $\frac{2}{6}=\frac{1}{3}\times \frac{2}{2}$.
What we've done is multiply $\frac{1}{3}$ by $\frac{2}{2}$, where $\frac{2}{2}$ is just a fractional form of 1, and since we are multiplying by 1, we are not changing the value of the given fraction. Thus, $\frac{1}{3}$ and $\frac{2}{6}$ are equivalent fractions.
Similarly, $\frac{5}{10}=\frac{1}{2}\times \frac{5}{5}$,
$\frac{9}{12}=\frac{3}{4}\times \frac{3}{3}$ and $\frac{6}{9}=\frac{2}{3}\times \frac{3}{3}$.