Question

Arrange the following fractions in the in descending order

$\frac{6}{4},\frac{4}{7},\frac{2}{9},\frac{6}{3}$

Answer 1

Step1: We have to make the denominator same:

LCM of number $3,4,7,9$ is $252$

$\begin{array}{rcl}\frac{6}{4}& =& \frac{6\times 63}{4\times 63}\\ & =& \frac{378}{252}\\ \frac{4}{7}& =& \frac{4\times 36}{7\times 36}\\ & =& \frac{144}{252}\\ \frac{2}{9}& =& \frac{3\times 8}{9\times 28}\\ & =& \frac{24}{252}\\ \frac{6}{3}& =& \frac{6\times 84}{3\times 84}\\ & =& \frac{504}{252}\end{array}$

Step2: Arranging the fractions into the descending order:

$$\begin{gathered} =\frac{504}{252}>\frac{378}{252}>\frac{144}{252}>\frac{24}{252} \\ =\frac{6}{3}>\frac{6}{4}>\frac{4}{7}>\frac{2}{9} \end{gathered}$$

Therefore the descending order of the fractions is $\frac{6}{3}>\frac{6}{4}>\frac{4}{7}>\frac{2}{9}$