Answer
$-\dfrac{1}{4}$
Work Step by Step
Convert each mixed numebr to improper fraction to find:
$=-\dfrac{3(1)+2}{3} \div \dfrac{3(6)+2}{3}
\\=-\dfrac{5}{3} \div \dfrac{20}{3}$
Use the rule $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \cdot \frac{d}{c}$ to find:
$=-\dfrac{5}{3} \cdot \dfrac{3}{20}$
Cancel the common factors, 3 and 5, to find:
$=-\frac{1}{1} \cdot \frac{1}{4}$
Multiply the numerators together and the denominators together to find:
$=-\dfrac{1(1)}{1(4)}
\\=-\dfrac{1}{4}$
