Question

Which of the following is an equivalent fraction of $\frac{3}{5}$?

• A. $\frac{27}{45}$
• B. $\frac{9}{25}$
• C. $1$
• D. $\frac{5}{3}$

Answer 1

The correct option is A $\frac{27}{45}$

A.
$\frac{3}{5}$ and $\frac{5}{3}$ are not equivalent fractions. They are instead the reciprocals of each other.

B.
1 is not the equivalent fraction of $\frac{3}{5}$, it is the multiplicative identity.

C.
$\frac{9}{25}=\frac{3\times 3}{5\times 5}$
This cannot be simplified into $\frac{3}{5}$, so they are not equivalent fractions.

D.
$\frac{27}{45}=\frac{3\times 9}{5\times 9}=\frac{3}{5}$
This can be simplified into $\frac{3}{5}$, so they are equivalent fractions.