Question

Write the following rational number in ascending order $\frac{3}{4}\frac{4}{5}\frac{5}{7}$

Answer 1

Given numbers $\frac{3}{4}\frac{4}{5}\frac{5}{7}$

To compare make the denominators

equal by taking LCM of then

LCM of 4, 5, 7 = $4\times 5\times 7$

$=140$

$\frac{3}{4}=\frac{3}{4}\times \frac{35}{35}=\frac{105}{140}$ ; $\frac{4}{5}=\frac{4}{5}\times \frac{28}{28}=\frac{112}{140}$

$\frac{5}{7}=\frac{5}{7}\times \frac{20}{20}=\frac{100}{140}$

$\frac{100}{140}<\frac{105}{140}<\frac{112}{140}$

$\Rightarrow \frac{5}{7}<\frac{3}{4}<\frac{4}{5}$