Question

Arrange the following fraction in descending order $\frac{2}{3},\frac{3}{5},\frac{7}{10},\frac{8}{15}$

Answer 1

Arrange the fraction in descending order $\frac{2}{3},\frac{3}{5},\frac{7}{10},\frac{8}{15}$

First, find the LCM of the denominator of the fraction

LCM of $3,5,10,15$ is $30$

Convert the given fraction into like a fraction,

$$\begin{gathered} \frac{2\times 10}{3\times 10},\frac{3\times 6}{5\times 6},\frac{7\times 3}{10\times 3},\frac{8\times 2}{15\times 2} \\ \frac{20}{30},\frac{18}{30},\frac{21}{30},\frac{16}{30} \end{gathered}$$

$\frac{21}{30}>\frac{20}{30}>\frac{18}{30}>\frac{16}{30}$

$\therefore$The descending order is $\frac{7}{10},\frac{2}{3},\frac{3}{5},\frac{8}{15}$