Question

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

$\frac{11}{14}$$\square$$\frac{29}{35}$

Answer 1

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

Multiply the numerator and denominator of the fraction $\frac{11}{14}$ by $5$.

$\frac{11}{14}$$=\frac{11\times 5}{14\times 5}=\frac{55}{70}$

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

$\frac{29}{35}$$=\frac{29\times 2}{35\times 2}=\frac{58}{70}$

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

$\frac{55}{70}<\frac{58}{70}$$\Rightarrow$$\frac{11}{14}$$<$$\frac{29}{35}$

Hence $\frac{29}{35}$ is greater than$\frac{11}{14}$.