Question

Fill in the blank with the correct symbol $>$,$<$ or $=$: $\frac{5}{6}\_\_\_\_\_\_\_\_\_\_\frac{8}{4}$

Answer 1

Comparing both the rational numbers:

Given rational numbers are $\frac{5}{6}$ and $\frac{8}{4}$.

L.C.M of the denominators $6$ and $4$is $12$

$\therefore \frac{5}{6}$ can be written as $\frac{5\times 2}{6\times 2}$ i.e. $\frac{10}{12}$ and

$\frac{8}{4}$ can be written as $\frac{8\times 3}{4\times 3}$ i.e. $\frac{24}{12}$

By, comparing the numerators, we can say that $10<24$

Therefore, $\frac{\mathbf{5}}{\mathbf{6}}$$\mathbf{<}$$\frac{\mathbf{8}}{\mathbf{4}}$