Question

divide.
1 $\frac{2}{3}$ $div$ 3 $\frac{1}{3}$ =

Explanation:

Step1: Convert mixed - numbers to improper fractions

$1\frac{2}{3}=\frac{1\times3 + 2}{3}=\frac{5}{3}$ and $3\frac{1}{3}=\frac{3\times3+1}{3}=\frac{10}{3}$

Step2: Change division to multiplication

Dividing by a fraction is the same as multiplying by its reciprocal. So $\frac{5}{3}\div\frac{10}{3}=\frac{5}{3}\times\frac{3}{10}$

Step3: Multiply the fractions

$\frac{5}{3}\times\frac{3}{10}=\frac{5\times3}{3\times10}=\frac{15}{30}$

Step4: Simplify the fraction

$\frac{15\div15}{30\div15}=\frac{1}{2}$

Answer:

$\frac{1}{2}$