Question

divide. $\frac{1}{6}div\frac{-2}{9}=$

Explanation:

Step1: Change division to multiplication

Dividing by a fraction is the same as multiplying by its reciprocal. So $\frac{1}{6}\div\frac{- 2}{9}=\frac{1}{6}\times\frac{9}{-2}$.

Step2: Multiply the numerators and denominators

Multiply the numerators $1\times9 = 9$ and the denominators $6\times(-2)=-12$. So we get $\frac{9}{-12}$.

Step3: Simplify the fraction

The greatest - common divisor of 9 and 12 is 3. Divide both the numerator and denominator by 3: $\frac{9\div3}{-12\div3}=-\frac{3}{4}$.

Answer:

$-\frac{3}{4}$