Question

Alex ate $\frac{6}{8}$ of a pizza. Choose the option that represents the portion Shalini ate if both had an equal proportion of pizza.

• A. $\frac{8}{18}$
• B. $\frac{9}{12}$
• C. $\frac{8}{12}$
• D. $\frac{7}{13}$

Answer 1

The correct option is B $\frac{9}{12}$

Simplifying $\frac{6}{8}$ we get $\frac{3}{4}$,

Simplifying Option A, we get =
$\frac{8}{18}$ = $\frac{4}{9}$ which is not equal to $\frac{3}{4}$.

Simplifying Option B, we get =
$\frac{9}{12}$ = $\frac{3}{4}$which is equal to $\frac{3}{4}$.

Simplifying Option C, we get =
$\frac{8}{12}$ = $\frac{2}{3}$ which is not equal to $\frac{3}{4}$.

We cannot simplify Option D and $\frac{7}{13}$ is not equal to $\frac{3}{4}$.

So, the only option which is equal to $\frac{3}{4}$ is $\frac{9}{12}$.