Write the Fraction in Simplest Form (-5/6)÷(-1/3)

$- \frac{5}{6} \div (- \frac{1}{3})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{5}{6} (- 3)$

Step 2

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{5}{6}$ into the numerator.

$\frac{- 5}{6} \cdot - 3$

Factor $3$ out of $6$ .

$\frac{- 5}{3 (2)} \cdot - 3$

Factor $3$ out of $- 3$ .

$\frac{- 5}{3 \cdot 2} \cdot (3 \cdot - 1)$

Cancel the common factor.

$\frac{- 5}{3 \cdot 2} \cdot (3 \cdot - 1)$

Rewrite the expression.

$\frac{- 5}{2} \cdot - 1$

Step 3

Combine $\frac{- 5}{2}$ and $- 1$ .

$\frac{- 5 \cdot - 1}{2}$

Step 4

Multiply $- 5$ by $- 1$ .

$\frac{5}{2}$