Question

Arrange the following fractions in the descending order

$\frac{2}{8},\frac{5}{4},\frac{3}{4},\frac{7}{9}$

Answer 1

Step1: We have to make the denominator same:

LCM of number $4,8,9$ is $72$

$\begin{array}{rcl}\frac{2}{8}& =& \frac{2\times 9}{8\times 9}\\ & =& \frac{18}{72}\\ \frac{5}{4}& =& \frac{5\times 18}{4\times 18}\\ & =& \frac{90}{72}\\ \frac{3}{4}& =& \frac{3\times 18}{4\times 18}\\ & =& \frac{54}{72}\\ \frac{7}{9}& =& \frac{7\times 8}{9\times 8}\\ & =& \frac{56}{72}\end{array}$

Step2: Arranging the fractions into the descending order:

$\begin{array}{rcl}& =& \frac{90}{72}>\frac{56}{72}>\frac{54}{72}>\frac{18}{72}\\ & =& \frac{5}{4}>\frac{7}{9}>\frac{3}{4}>\frac{2}{8}\end{array}$

Therefore the descending order of the fractions is $\frac{5}{4}>\frac{7}{9}>\frac{3}{4}>\frac{2}{8}$