Simplify (m+5n)/(12m)-(m-n)/(12m)

$\frac{m + 5 n}{12 m} - \frac{m - n}{12 m}$

Combine the numerators over the common denominator.

$\frac{m + 5 n - (m - n)}{12 m}$

Simplify each term.

Apply the distributive property.

$\frac{m + 5 n - m - - n}{12 m}$

Multiply $- - n$ .

Multiply $- 1$ by $- 1$ .

$\frac{m + 5 n - m + 1 n}{12 m}$

Multiply $n$ by $1$ .

$\frac{m + 5 n - m + n}{12 m}$

Simplify terms.

Combine the opposite terms in $m + 5 n - m + n$ .

Subtract $m$ from $m$ .

$\frac{5 n + 0 + n}{12 m}$

Add $5 n$ and $0$ .

$\frac{5 n + n}{12 m}$

Add $5 n$ and $n$ .

$\frac{6 n}{12 m}$

Cancel the common factor of $6$ and $12$ .

Factor $6$ out of $6 n$ .

$\frac{6 (n)}{12 m}$

Cancel the common factors.

Factor $6$ out of $12 m$ .

$\frac{6 (n)}{6 (2 m)}$

Cancel the common factor.

$\frac{6 n}{6 (2 m)}$

Rewrite the expression.

$\frac{n}{2 m}$