Question

Convert the following into an improper fraction.

$1\frac{3}{7}$

Answer 1

Any mixed fraction can be converted to an improper fraction by the following method -

$a\frac{b}{c}=\frac{(a\times c)+b}{c}$

$$\begin{gathered} 1\frac{3}{7}=\frac{\left(1\times 7\right)+3}{7} \\ =\frac{7+3}{7} \\ =\frac{10}{7} \end{gathered}$$

Hence, the given mixed fraction can be written in an improper form as$\frac{10}{7}.$