Divide (-6/38)÷(42/(-15x))

$- \frac{6}{38} \div \frac{42}{- 15 x}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{6}{38} \cdot \frac{- 15 x}{42}$

Step 2

Cancel the common factor of $6$ .

Move the leading negative in $- \frac{6}{38}$ into the numerator.

$\frac{- 6}{38} \cdot \frac{- 15 x}{42}$

Factor $6$ out of $- 6$ .

$\frac{6 (- 1)}{38} \cdot \frac{- 15 x}{42}$

Factor $6$ out of $42$ .

$\frac{6 \cdot - 1}{38} \cdot \frac{- 15 x}{6 \cdot 7}$

Cancel the common factor.

$\frac{6 \cdot - 1}{38} \cdot \frac{- 15 x}{6 \cdot 7}$

Rewrite the expression.

$\frac{- 1}{38} \cdot \frac{- 15 x}{7}$

Step 3

Multiply $\frac{- 1}{38}$ by $\frac{- 15 x}{7}$ .

$\frac{- (- 15 x)}{38 \cdot 7}$

Step 4

Multiply $- 15$ by $- 1$ .

$\frac{15 x}{38 \cdot 7}$

Step 5

Multiply $38$ by $7$ .

$\frac{15 x}{266}$