Question

Fill in the boxes by the symbol $<$ or $>$ to make the given statements true:

$\frac{8}{15}$$\square$$\frac{3}{5}$

Answer 1

To compare the fraction make the denominator same of the both fractions:

Multiply the numerator and denominator of the fraction $\frac{8}{15}$ by $1$.

$\frac{8}{15}$$=\frac{8\times 1}{15\times 1}=\frac{8}{15}$

Multiply the numerator and denominator of the fraction$\frac{3}{5}$ by $3$

$\frac{3}{5}$$=\frac{3\times 3}{5\times 3}=\frac{9}{15}$

We can see the denominator in both fractions is equal, so the fraction with a greater numerator will be greater.

$\frac{8}{15}<\frac{9}{15}$$\Rightarrow$$\frac{8}{15}<\frac{3}{5}$

Hence $\frac{3}{5}$ is greater than$\frac{8}{15}$.