Question

The value of
$5\frac{4}{7}÷1\frac{3}{10}=$

• A. $4\frac{2}{39}$
• B. $2\frac{3}{7}$
• C. $5\frac{3}{5}$
• D. $4\frac{2}{7}$

Answer 1

The correct option is D $4\frac{2}{7}$

$5\frac{4}{7}÷1\frac{3}{10}=\frac{39}{7}÷\frac{13}{10}=\frac{39}{7}\times \left(\text{reciprocal of}\frac{13}{10}\right)=\frac{39}{7}\times \frac{10}{13}=\frac{39\times 10}{7\times 13}=\frac{30}{7}=4\frac{2}{7}$