Question

Arrange in descending order in each of the following using symbol >:
$\frac{5}{9},\frac{3}{12},\frac{1}{3},\frac{4}{15}$

Answer 1

To compare two fractions we should first make their denominators same:

For this, we should find out the L.C.M of $9,12,3$ and $15$ which comes out to be $180$

So,

First fraction is : $\frac{5}{9}=\frac{5\times 20}{9\times 20}=\frac{100}{180}$

Second fraction is : $\frac{3}{12}=\frac{3\times 10}{12\times 10}=\frac{30}{180}$

Third fraction is : $\frac{1}{3}=\frac{1\times 60}{3\times 60}=\frac{60}{180}$

Fourth fraction is : $\frac{4}{15}=\frac{4\times 12}{15\times 12}=\frac{48}{180}$

Clearly $\frac{100}{10}>\frac{60}{180}>\frac{48}{180}>\frac{30}{180}$

Hence$\frac{5}{9}>\frac{1}{3}>\frac{4}{15}>\frac{3}{12}$