Question

Express the following fractions in descending order:

$\frac{4}{9}$, $\frac{8}{3}$, $\frac{5}{6}$: ___, ___, ___

• A. $\frac{8}{3}$
• B. $\frac{5}{6}$, $\frac{4}{9}$

Answer 1

• Step 1: The least common denominator (LCD) of $3$, $6$ and $9$ is $18$. Make the denominator as $18$ for all the fractions.

$\frac{4}{9}=\frac{4\times 2}{9\times 2}=\frac{8}{18}$;

$\frac{8}{3}=\frac{8\times 6}{3\times 6}=\frac{48}{18}$;

$\frac{5}{6}=\frac{5\times 3}{6\times 3}=\frac{15}{18}$

• Step 2: Now each fraction has the same denominator $18$. Arrange the fractions in descending order by arranging numerators in descending order.

$\frac{48}{18}$, $\frac{15}{18}$, $\frac{8}{18}$

• Hence, the fractions in descending order are $\frac{8}{3}$, $\frac{5}{6}$, $\frac{4}{9}$.