Question

Express the following fractions in descending order:

$\frac{3}{4}$, $\frac{4}{5}$, $\frac{1}{20}$: ___, ___, ___

• A. $\frac{4}{5}$
• B. $\frac{3}{4}$, $\frac{1}{20}$

Answer 1

• Step 1: The least common denominator (LCD) of $4$, $5$ and $20$ is $20$. Make the denominator as $20$ for all the fractions.

$\frac{3}{4}=\frac{3\times 5}{4\times 5}=\frac{15}{20}$;

$\frac{4}{5}=\frac{4\times 4}{5\times 4}=\frac{16}{20}$;

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

• Step 2: Now each fraction has the same denominator $20$. Arrange the fractions in descending order by arranging numerators in descending order.

$\frac{16}{20}$, $\frac{15}{20}$, $\frac{1}{20}$

• Hence, the fractions in descending order are $\frac{4}{5}$, $\frac{3}{4}$, $\frac{1}{20}$.