Question

Arrange the descending order of fractions.

$\frac{3}{4},\frac{5}{8},\frac{11}{12}and\frac{17}{24}$

Answer 1

Explanation:

we have, $\frac{3}{4},\frac{5}{8},\frac{11}{12},\frac{17}{24}$

LCM of denominators $4,8,12$ and $24=$$2\times 2\times 2\times 3=24$ ( on taking L.C.M of denominators )

Convert each of the given fraction into an equivalent fraction with denominator $24$.

$$\begin{gathered} \frac{3}{4}=\frac{3\times 6}{4\times 6}=\frac{18}{24},\frac{5}{8}=\frac{5\times 3}{8\times 3}=\frac{15}{24}, \\ \frac{11}{12}=\frac{11\times 2}{12\times 2}=\frac{22}{24}and\frac{17}{24}=\frac{17\times 1}{24\times 1}=\frac{17}{24} \end{gathered}$$

Clearly , $\frac{22}{24}>\frac{18}{24}>\frac{17}{24}>\frac{15}{24}$ $\Rightarrow \frac{11}{12}>\frac{3}{4}>\frac{17}{24}>\frac{5}{8}$

Hence, descending order of given fractions are $\frac{11}{12}>\frac{3}{4}>\frac{17}{24}>\frac{5}{8}$