Question

Arrange the following in descending order.

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

• A. $\frac{6}{5}>\frac{3}{5}>\frac{2}{4}>\frac{1}{4}$
• B. $\frac{6}{5}>\frac{2}{4}>\frac{3}{5}>\frac{1}{4}$
• C. $\frac{3}{5}>\frac{6}{5}>\frac{2}{4}>\frac{1}{4}$
• D. $\frac{6}{5}>\frac{2}{4}>\frac{3}{5}>\frac{1}{4}$

Answer 1

The correct option is A $\frac{6}{5}>\frac{3}{5}>\frac{2}{4}>\frac{1}{4}$

Let's convert all the given fractions into like fractions.

$\frac{3}{5}=\frac{3\times 4}{5\times 4}=\frac{12}{20}$

$\frac{2}{4}=\frac{2\times 5}{4\times 5}=\frac{10}{20}$

$\frac{1}{4}=\frac{1\times 5}{4\times 5}=\frac{5}{20}$

$\frac{6}{5}=\frac{6\times 4}{5\times 4}=\frac{24}{20}$

Comparing:
$\frac{24}{20}>\frac{12}{20}>\frac{10}{20}>\frac{5}{20}$

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