Question

divide.
$\frac{-1}{5}div\frac{-1}{3}=$

Explanation:

Step1: Change division to multiplication

Dividing by a fraction is the same as multiplying by its reciprocal. So $\frac{-1}{5}\div\frac{-1}{3}=\frac{-1}{5}\times\frac{3}{-1}$.

Step2: Multiply numerators and denominators

Multiply the numerators $(-1)\times3 = - 3$ and the denominators $5\times(-1)=-5$. So we have $\frac{-3}{-5}$.

Step3: Simplify the fraction

A negative divided by a negative is positive, so $\frac{-3}{-5}=\frac{3}{5}$.

Answer:

$\frac{3}{5}$