Divide (-3/24)÷(1/(5n))

$- \frac{3}{24} \div \frac{1}{5 n}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{3}{24} (5 n)$

Step 2

Cancel the common factor of $3$ and $24$ .

Factor $3$ out of $3$ .

$- \frac{3 (1)}{24} (5 n)$

Cancel the common factors.

Factor $3$ out of $24$ .

$- \frac{3 \cdot 1}{3 \cdot 8} (5 n)$

Cancel the common factor.

$- \frac{3 \cdot 1}{3 \cdot 8} (5 n)$

Rewrite the expression.

$- \frac{1}{8} (5 n)$

Step 3

Multiply $- \frac{1}{8} (5 n)$ .

Multiply $5$ by $- 1$ .

$- 5 (\frac{1}{8}) n$

Combine $- 5$ and $\frac{1}{8}$ .

$\frac{- 5}{8} n$

Combine $\frac{- 5}{8}$ and $n$ .

$\frac{- 5 n}{8}$

Step 4

Move the negative in front of the fraction.

$- \frac{5 n}{8}$