Question

Express the following fractions in ascending order:

$\frac{4}{5}$, $\frac{5}{5}$, $\frac{6}{7}$: ___, ___, ___

• A. $\frac{4}{5}$
• B. $\frac{6}{7}$, $\frac{5}{5}$

Answer 1

• Step 1: The least common denominator (LCD) of $5$ and $7$ is $35$. Make the denominator as $35$ for all the fractions.

$\frac{4}{5}=\frac{4\times 7}{5\times 7}=\frac{28}{35}$;

$\frac{5}{5}=\frac{5\times 7}{5\times 7}=\frac{35}{35}$;

$\frac{6}{7}=\frac{6\times 5}{7\times 5}=\frac{30}{35}$

• Step 2: Now each fraction has the same denominator $35$. Arrange the fractions in ascending order by arranging numerators in ascending order.

$\frac{28}{35}$, $\frac{30}{35}$, $\frac{35}{35}$

• Hence, the fractions in ascending order are $\frac{4}{5}$, $\frac{6}{7}$, $\frac{5}{5}$.