Question

divide. 5\frac{1}{3}\div1\frac{5}{9}=

Explanation:

Step1: Convert mixed - numbers to improper fractions

$5\frac{1}{3}=\frac{5\times3 + 1}{3}=\frac{16}{3}$ and $1\frac{5}{9}=\frac{1\times9+5}{9}=\frac{14}{9}$

Step2: Change division to multiplication by reciprocal

$\frac{16}{3}\div\frac{14}{9}=\frac{16}{3}\times\frac{9}{14}$

Step3: Simplify the product

$\frac{16\times9}{3\times14}=\frac{16\times3}{14}=\frac{48}{14}=\frac{24}{7}=3\frac{3}{7}$

Answer:

$3\frac{3}{7}$