Question

Arrange the following fractions in the in descending order

$\frac{4}{3},\frac{8}{2},\frac{3}{9},\frac{2}{8}$

Answer 1

Step1: We have to make the denominator same:

LCM of number $3,2,8,9$ is $72$

$$\begin{gathered} \frac{4}{3}=\frac{4\times 24}{3\times 24} \\ =\frac{96}{72} \\ \frac{8}{2}=\frac{8\times 36}{2\times 36} \\ =\frac{288}{72} \\ \frac{3}{9}=\frac{3\times 8}{9\times 8} \\ =\frac{24}{72} \\ \frac{2}{8}=\frac{2\times 9}{8\times 9} \\ =\frac{18}{72} \end{gathered}$$

Step2: Arranging the fractions into the descending order:

$$\begin{gathered} =\frac{288}{72}>\frac{96}{72}>\frac{24}{72}>\frac{18}{72} \\ =\frac{8}{2}>\frac{4}{3}>\frac{3}{9}>\frac{2}{8} \end{gathered}$$

Therefore the descending order of the fractions is $\frac{8}{2}>\frac{4}{3}>\frac{3}{9}>\frac{2}{8}$