Question

Arrange the following fractions in descending order

$\frac{5}{9},\frac{1}{4},\frac{17}{18},\frac{11}{12}$

Answer 1

Step 1:- Converting all fraction into equivalent fraction,

Given fractions are $\frac{5}{9},\frac{1}{4},\frac{17}{18},\frac{11}{12}$

L.C.M. of $9,4,18,12$ is $36$

⇒ $\frac{5\times 4}{9\times 4}=\frac{20}{36}$ , $\frac{1\times 9}{4\times 9}=\frac{9}{36}$ , $\frac{17\times 2}{18\times 2}=\frac{34}{36}$ , $\frac{11\times 3}{12\times 3}=\frac{33}{36}$

Therefore, the fraction are $\frac{20}{36},\frac{9}{36},\frac{34}{36},\frac{33}{36}$

Step 2:- Arranging all fractions into descending order,

$34>33>20>9$

⇒ $\frac{34}{36}>\frac{33}{36}>\frac{20}{36}>\frac{9}{36}$

Therefore, ascending order of fraction is $\frac{17}{18},\frac{11}{12},\frac{5}{9},\frac{1}{4}$