Question

Arrange the given fractions in descending order of magnitude.​ ​
$\frac{4}{5}$,$\frac{7}{15}$,$\frac{11}{20}$,$\frac{3}{4}$

Answer 1

Step 1: Finding LCM of denominators​ of all the given fractions​

Given fractions are $\frac{4}{5}$,$\frac{7}{15}$,$\frac{11}{20}$,$\frac{3}{4}$

$\begin{array}{cc}2& 5,15,20,4\\ 2& 5,15,10,2\\ 3& 5,15,5,1\\ 5& 5,5,5,1\\ & 1,1,1,1\end{array}$

$\therefore$ LCM of $5,15,20,4=2\times 2\times 3\times 5=60$

Step 2: Converting all the fraction into the fractions

$\Rightarrow \frac{4}{5}=\frac{4\times 12}{5\times 12}=\frac{48}{60}$

$\Rightarrow \frac{7}{15}=\frac{7\times 4}{15\times 4}=\frac{28}{60}$

$\Rightarrow \frac{11}{20}=\frac{11\times 3}{20\times 3}=\frac{33}{60}$

$\Rightarrow \frac{3}{4}=\frac{3\times 15}{4\times 15}=\frac{45}{60}$

Step 3: Arranging all the fractions in descending order

We know that if two or more fractions have same denominator, the fraction having greater numerator is greater.

$\therefore \frac{48}{60}>\frac{45}{60}>\frac{33}{60}>\frac{28}{60}$

Hence $\frac{4}{5}>\frac{3}{4}>\frac{11}{20}>\frac{7}{15}$ is the required descending order.