Question

Choose the right option to be filled in the blank: $\frac{3}{5}$ ___ $\frac{8}{13}$ .

• A. >
• B. <
• C. =
• D. $\le$

Answer 1

The correct option is B <

To compare two rational numbers of the form $\frac{p}{q}$, we have to make the denominators equal and then compare the numarators.
We can write $\frac{3}{5}$ as $\frac{3\times 13}{5\times 13}$ = $\frac{39}{65}$

We can write $\frac{8}{13}$ as $\frac{8\times 5}{13\times 5}$ = $\frac{40}{65}$

We have 39 < 40

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