Simplify (-14/36)(-(6s)/112)

$(- \frac{14}{36}) (- \frac{6 s}{112})$

Step 1

Cancel the common factor of $14$ .

Move the leading negative in $- \frac{14}{36}$ into the numerator.

$\frac{- 14}{36} (- \frac{6 s}{112})$

Move the leading negative in $- \frac{6 s}{112}$ into the numerator.

$\frac{- 14}{36} \cdot \frac{- 6 s}{112}$

Factor $14$ out of $- 14$ .

$\frac{14 (- 1)}{36} \cdot \frac{- 6 s}{112}$

Factor $14$ out of $112$ .

$\frac{14 \cdot - 1}{36} \cdot \frac{- 6 s}{14 \cdot 8}$

Cancel the common factor.

$\frac{14 \cdot - 1}{36} \cdot \frac{- 6 s}{14 \cdot 8}$

Rewrite the expression.

$\frac{- 1}{36} \cdot \frac{- 6 s}{8}$

Step 2

Cancel the common factor of $6$ .

Factor $6$ out of $36$ .

$\frac{- 1}{6 (6)} \cdot \frac{- 6 s}{8}$

Factor $6$ out of $- 6 s$ .

$\frac{- 1}{6 (6)} \cdot \frac{6 (- s)}{8}$

Cancel the common factor.

$\frac{- 1}{6 \cdot 6} \cdot \frac{6 (- s)}{8}$

Rewrite the expression.

$\frac{- 1}{6} \cdot \frac{- s}{8}$

Step 3

Multiply $\frac{- 1}{6}$ by $\frac{- s}{8}$ .

$\frac{- - s}{6 \cdot 8}$

Step 4

Multiply.

Multiply $- 1$ by $- 1$ .

$\frac{1 s}{6 \cdot 8}$

Multiply $s$ by $1$ .

$\frac{s}{6 \cdot 8}$

Multiply $6$ by $8$ .

$\frac{s}{48}$