Question

Arrange the following fractions in descending order:
$\frac{2}{3}$, $\frac{3}{4}$, $\frac{3}{5}$.

• A. $\frac{3}{4}>\frac{3}{5}>\frac{2}{3}$
  
• B. $\frac{3}{4}>\frac{2}{3}>\frac{3}{5}$
  
• C. $\frac{3}{5}>\frac{2}{3}>\frac{3}{4}$
• D. $\frac{2}{3}>\frac{3}{4}>\frac{3}{5}$

Answer 1

The correct option is B $\frac{3}{4}>\frac{2}{3}>\frac{3}{5}$


Let us first convert the given fractions such that all of them have the same denominator.

$\frac{2\times 20}{3\times 20}=\frac{40}{60}$

$\frac{3\times 15}{4\times 15}=\frac{45}{60}$

$\frac{3\times 12}{5\times 12}=\frac{36}{60}$

We know that $\frac{45}{60}>\frac{40}{60}>\frac{36}{60}$

i.e., $\frac{3}{4}>\frac{2}{3}>\frac{3}{5}$