Question

The fraction which is equivalent to $\frac{16}{36}$ is.

• A. $\frac{9}{18}$
• B. $\frac{12}{28}$
• C. $\frac{24}{54}$
• D. $\frac{15}{45}$

Answer 1

The correct option is C $\frac{24}{54}$

Two fractions are said to be equivalent when they have the same simplest form.

$\underset{–}{\frac{16}{36}=\frac{2\times 2\times 2\times 2}{2\times 2\times 3\times 3}=\frac{4}{9}}$, which is the simplest form of $\frac{16}{36}$.

$\frac{9}{18}=\frac{3\times 3}{2\times 3\times 3}=\frac{1}{2}$, which is the simplest form of $\frac{9}{18}$.

$\frac{12}{28}=\frac{2\times 2\times 3}{2\times 2\times 7}=\frac{3}{7}$, which is the simplest form of $\frac{12}{28}$.

$\underset{–}{\frac{24}{54}=\frac{2\times 2\times 2\times 3}{2\times 3\times 3\times 3}=\frac{4}{9}}$, which is the simplest form of $\frac{24}{54}$.

$\frac{15}{45}=\frac{3\times 5}{3\times 3\times 5}=\frac{1}{3}$, which is the simplest form of $\frac{15}{45}$.

As $\frac{4}{9}$ is the simpliest form of both $\frac{16}{36}$ and $\frac{24}{54}$, $\frac{16}{36}$ and$\frac{24}{54}$ are equivalent fractions.