Divide (-14/27)÷(56/(-m))

$- \frac{14}{27} \div \frac{56}{- m}$

To divide by a fraction, multiply by its reciprocal.

$- \frac{14}{27} \cdot \frac{- m}{56}$

Cancel the common factor of $14$ .

Move the leading negative in $- \frac{14}{27}$ into the numerator.

$\frac{- 14}{27} \cdot \frac{- m}{56}$

Factor $14$ out of $- 14$ .

$\frac{14 (- 1)}{27} \cdot \frac{- m}{56}$

Factor $14$ out of $56$ .

$\frac{14 \cdot - 1}{27} \cdot \frac{- m}{14 \cdot 4}$

Cancel the common factor.

$\frac{14 \cdot - 1}{27} \cdot \frac{- m}{14 \cdot 4}$

Rewrite the expression.

$\frac{- 1}{27} \cdot \frac{- m}{4}$

Multiply $\frac{- 1}{27}$ by $\frac{- m}{4}$ .

$\frac{- - m}{27 \cdot 4}$

Multiply $- 1$ by $- 1$ .

$\frac{1 m}{27 \cdot 4}$

Multiply $m$ by $1$ .

$\frac{m}{27 \cdot 4}$

Multiply $27$ by $4$ .

$\frac{m}{108}$