Question

Without using a calculator, work out $1\frac{4}{5}÷\frac{3}{7}$. Show all your working and give your answer as a fraction in its lowest terms.

Answer 1

Given $1\frac{4}{5}÷\frac{3}{7}$

$=\frac{9}{5}÷\frac{3}{7}$

$=\frac{9}{5}\times \frac{7}{3}$

$=\frac{63}{15}$

HCF of $63$ and $15$ is $3$. Thus, dividing both numerator an denominator by 3, we get,

$=\frac{63÷3}{15÷3}$

$=\frac{21}{5}$