Question

divide.
$4\frac{1}{3} \div 1\frac{2}{9}$
enter your answer, as a mixed number in simplest form, in the box.

Explanation:

Step1: Convert to improper fractions

$4\frac{1}{3} = \frac{4\times3 + 1}{3} = \frac{13}{3}$, $1\frac{2}{9} = \frac{1\times9 + 2}{9} = \frac{11}{9}$

Step2: Rewrite division as multiplication

$\frac{13}{3} \div \frac{11}{9} = \frac{13}{3} \times \frac{9}{11}$

Step3: Simplify and multiply

$\frac{13 \times 9}{3 \times 11} = \frac{13 \times 3}{1 \times 11} = \frac{39}{11}$

Step4: Convert to mixed number

$\frac{39}{11} = 3\frac{6}{11}$

Answer:

$3\frac{6}{11}$