Question

Express the following fractions in descending order:

$\frac{7}{7}$, $\frac{3}{14}$, $\frac{5}{7}$: ___, ___, ___

• A. $\frac{7}{7}$
• B. $\frac{5}{7}$, $\frac{3}{14}$

Answer 1

• Step 1: The least common denominator (LCD) of $7$ and $14$ is $14$. Make the denominator as $14$ for all the fractions.

$\frac{7}{7}=\frac{7\times 2}{7\times 2}=\frac{14}{14}$;

$\frac{3}{14}=\frac{3\times 1}{14\times 1}=\frac{3}{14}$;

$\frac{5}{7}=\frac{5\times 2}{7\times 2}=\frac{10}{14}$

• Step 2: Now each fraction has the same denominator $14$. Arrange the fractions in descending order by arranging numerators in descending order.

$\frac{14}{14}$, $\frac{10}{14}$, $\frac{3}{14}$

• Hence, the fractions in descending order are $\frac{7}{7}$, $\frac{5}{7}$, $\frac{3}{14}$.