Question

Express the following fractions in descending order:

$\frac{3}{8}$, $\frac{1}{4}$, $\frac{7}{6}$: ___, ___, ___

• A. $\frac{7}{6}$
• B. $\frac{3}{8}$, $\frac{1}{4}$

Answer 1

• Step 1: The least common denominator (LCD) of $4$, $6$ and $8$ is $24$. Make the denominator as $24$ for all the fractions.

$\frac{3}{8}=\frac{3\times 3}{8\times 3}=\frac{9}{24}$;

$\frac{1}{4}=\frac{1\times 6}{4\times 6}=\frac{6}{24}$;

$\frac{7}{6}=\frac{7\times 4}{6\times 4}=\frac{28}{24}$

• Step 2: Now each fraction has the same denominator $24$. Arrange the fractions in descending order by arranging numerators in descending order.

$\frac{28}{24}$, $\frac{9}{24}$, $\frac{6}{24}$

• Hence, the fractions in descending order are $\frac{7}{6}$, $\frac{3}{8}$, $\frac{1}{4}$.