Question

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

$\frac{13}{27}$$\square$$\frac{15}{48}$

Answer 1

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

Multiply the numerator and denominator of the fraction $\frac{13}{27}$ by $48$.

$\frac{13}{27}$$=\frac{13\times 48}{27\times 48}=\frac{624}{1296}$

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

$\frac{15}{48}$$=\frac{15\times 27}{48\times 27}=\frac{405}{1296}$

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

$\frac{624}{1296}$$>$$\frac{405}{1296}$$\Rightarrow$$\frac{13}{27}$$>$$\frac{15}{48}$

Hence $\frac{13}{27}$ is greater than$\frac{15}{48}$.