Question

The least fraction that must be added to $1\frac{1}{3}÷1\frac{1}{2}÷1\frac{1}{9}$ to make the result an integer is:

• A. $\frac{4}{5}$
• B. $\frac{3}{5}$
• C. $\frac{2}{5}$
• D. $\frac{1}{5}$

Answer 1

The correct option is D $\frac{1}{5}$

$1\frac{1}{3}÷1\frac{1}{2}=\frac{4}{3}÷\frac{3}{2}÷\frac{10}{9}$
$=\frac{4}{3}\times \frac{2}{3}÷\frac{10}{9}=\frac{8}{9}\times \frac{9}{10}=\frac{4}{5}$
$\therefore \frac{1}{5}$ should be added to $\frac{4}{5}$ to make it an integer