Answer
$6$
Work Step by Step
Convert each mixed number to an improper fraction to obtain:
$=\left(\dfrac{5\cdot 6 + 3}{5}\right)\div\left(\dfrac{10\cdot 1 + 1}{10}\right)
\\=\dfrac{33}{5}\div\dfrac{11}{10}$
Use the rule $\dfrac{a}{b} \div \dfrac{c}{d} =\dfrac{a}{b} \cdot \dfrac{d}{c}$ to obtain:
$=\dfrac{33}{5} \cdot \dfrac{10}{11}$
Cancel common factors to obtain:
$\require{cancel}
\\=\dfrac{\cancel{33}3}{\cancel{5}} \cdot \dfrac{\cancel{10}2}{\cancel{11}}$
Multiply the numerators together and the denominators together to obtain:
$=\dfrac{3(2)}{1(1)}
\\=\dfrac{6}{1}
\\=6$
