Question

Evaluate the following:

$5\frac{1}{3}÷1\frac{1}{9}$

Answer 1

Step 1:- Convert the improper fraction into the mixed fraction.

$5\frac{1}{3}=\frac{16}{3}$

$1\frac{1}{9}=\frac{10}{9}$

Step 2:- Take the reciprocal of $\frac{10}{9}$ and find the product

$5\frac{1}{3}÷1\frac{1}{9}$$=$$\frac{16}{3}÷\frac{10}{9}$ ( Replace the $÷$ sign into $\times$ and take the reciprocal of $4$)

$=\frac{16}{3}\times \frac{9}{10}$ (Cancel out the common factor if any)

$=\frac{8\times 3}{5}$

$=\frac{24}{5}$

Step 3:- Convert the improper fraction into the mixed fraction.

$\frac{24}{5}=4\frac{4}{5}$

Hence, $4\frac{4}{5}$ is the required solution.