Question

Arrange the fractions given below in order from greatest to least (Descending order)

$\frac{3}{4},\frac{2}{3},\frac{1}{6},\frac{5}{6}$

Answer 1

Since, the denominator of given fraction are not same

The LCM of $4,3,6$ is $12$

Converting each of the given fractions into equivalent fraction with denominator as $12$

Consider $\frac{3}{4}\times 12=9$

On multiplying both numerator and denominator by $9$, we have

$\frac{3\times 9}{4\times 9}=\frac{9}{12}$

Consider $\frac{2}{3}\times 12=8$

On multiplying both numerator and denominator by $8$, we have

$\frac{2\times 8}{3\times 8}=\frac{8}{12}$

Consider $\frac{1}{6}\times 12=2$

On multiplying both numerator and denominator by $2$, we have

$\frac{1\times 2}{6\times 2}=\frac{2}{12}$

Consider $\frac{5}{6}\times 12=10$

On multiplying both numerator and denominator by $10$, we have

$\frac{5\times 10}{6\times 10}=\frac{10}{12}$

Now the given fraction equal to $\frac{9}{12},\frac{8}{12},\frac{2}{12},\frac{10}{12}$

$\therefore$The descending order of $\frac{9}{12},\frac{8}{12},\frac{2}{12},\frac{10}{12}$is $\frac{10}{12},\frac{9}{12},\frac{8}{12},\frac{2}{12}$