Question

Simplify and choose the correct option.
$5\frac{2}{7}÷5\frac{5}{7}$

• A. $\frac{20}{37}$
• B. $\frac{37}{20}$
• C. $\frac{40}{37}$
• D. $\frac{37}{40}$

Answer 1

The correct option is D $\frac{37}{40}$

To divide mixed fractions, first we have to convert them into improper fractions.
$5\frac{2}{7}=\frac{\left(5\times 7\right)+2}{7}=\frac{35+2}{7}=\frac{37}{7}5\frac{5}{7}=\frac{\left(5\times 7\right)+5}{7}=\frac{35+5}{7}=\frac{40}{7}$
Now, let's divide the two fractions.
$5\frac{2}{7}÷5\frac{5}{7}=\frac{37}{7}÷\frac{40}{7}=\frac{37}{7}\times \frac{7}{40}=\frac{37\times 7}{7\times 40}=\frac{37}{40}$