Question

To clear a stage of a game, Bob has to find an equivalent fraction of $\frac{10}{14}$. Choose the correct option, and help him clear the stage.

• A. $\frac{20}{28}$
• B. $\frac{20}{35}$
• C. $\frac{20}{21}$
• D. $\frac{15}{28}$

Answer 1

The correct option is A $\frac{20}{28}$

To find an equivalent fraction of $\frac{10}{14}$, first we have to convert it into its simplest form: $\frac{10}{14}=\frac{2\times 5}{2\times 7}=\frac{5}{7}$
Now, the equivalent fractions of $\frac{5}{7}$ can be obtained:
$\frac{5}{7}=\frac{5\times 2}{7\times 2}=\frac{10}{14}\frac{5}{7}=\frac{5\times 3}{7\times 3}=\frac{15}{21}\frac{5}{7}=\frac{5\times 4}{7\times 4}=\frac{20}{28}\frac{5}{7}=\frac{5\times 5}{7\times 5}=\frac{25}{35}$
So, among the options, only $\frac{20}{28}$ is correct.