Question

Arrange the numbers $\frac{1}{4},\frac{13}{16},\frac{5}{8}$ in the descending order.

Answer 1

Step $1$: Find LCM of denominators of all the given fractions:

$\therefore$ LCM $\left(4,16,8\right)=16$$=315$

Step 2: Multiply numerator and denominator of each fraction by a suitable number so that denominator in each case becomes equal to LCM obtained in Step $1$:

$\therefore$ $\frac{1}{4}=\frac{1\times 4}{4\times 4}=\frac{4}{16}$

$\frac{13}{16}=\frac{13\times 1}{16\times 1}=\frac{13}{16}$

$\frac{5}{8}=\frac{5\times 2}{8\times 2}=\frac{10}{16}$

Step 3: Step $2$ would convert all fractions to like fractions and therefore the fraction with greater numerator is greater:

$\because$ $13>10>4$

$\therefore$ $\frac{13}{16}>\frac{5}{8}>\frac{1}{4}$

Therefore, the descending order of fractions is: $\frac{13}{16},\frac{5}{8},\frac{1}{4}$