Question

Find the smaller of the fraction $\frac{3}{5}$ and $\frac{8}{13}$

• A. $\frac{3}{5}$
• B. $\frac{8}{13}$
• C. Both are equal
• D. Cannot be determined

Answer 1

The correct option is A

$\frac{3}{5}$

Given fractions are $\frac{3}{5}$ and $\frac{8}{13}$

We can write $\frac{3}{5}$ as $\frac{3\times 13}{5\times 13}$

= $\frac{39}{65}$

And $\frac{8}{13}$ as $\frac{8\times 5}{5\times 13}$

= $\frac{40}{65}$

We have 39 < 40

$\therefore$ $\frac{3}{5}$ < $\frac{8}{13}$

Hence $\frac{3}{5}$ is the smaller fraction