Simplify m/6-m/5

$\frac{m}{6} - \frac{m}{5}$

To write $\frac{m}{6}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

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

To write $- \frac{m}{5}$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

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

Write each expression with a common denominator of $30$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{m}{6}$ by $\frac{5}{5}$ .

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

Multiply $6$ by $5$ .

$\frac{m \cdot 5}{30} - \frac{m}{5} \cdot \frac{6}{6}$

Multiply $\frac{m}{5}$ by $\frac{6}{6}$ .

$\frac{m \cdot 5}{30} - \frac{m \cdot 6}{5 \cdot 6}$

Multiply $5$ by $6$ .

$\frac{m \cdot 5}{30} - \frac{m \cdot 6}{30}$

Combine the numerators over the common denominator.

$\frac{m \cdot 5 - m \cdot 6}{30}$

Simplify the numerator.

Factor $m$ out of $m \cdot 5 - m \cdot 6$ .

Factor $m$ out of $m \cdot 5$ .

$\frac{m (5) - m \cdot 6}{30}$

Factor $m$ out of $- m \cdot 6$ .

$\frac{m (5) + m (- 1 \cdot 6)}{30}$

Factor $m$ out of $m (5) + m (- 1 \cdot 6)$ .

$\frac{m (5 - 1 \cdot 6)}{30}$

Multiply $- 1$ by $6$ .

$\frac{m (5 - 6)}{30}$

Subtract $6$ from $5$ .

$\frac{m \cdot - 1}{30}$

Simplify the expression.

Move $- 1$ to the left of $m$ .

$\frac{- 1 \cdot m}{30}$

Move the negative in front of the fraction.

$- \frac{m}{30}$