Solve for m (n+5)/m=6

$\frac{n + 5}{m} = 6$

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$m, 1$

The LCM of one and any expression is the expression.

$m$

Multiply each term in $\frac{n + 5}{m} = 6$ by $m$ to eliminate the fractions.

Multiply each term in $\frac{n + 5}{m} = 6$ by $m$ .

$\frac{n + 5}{m} m = 6 m$

Simplify the left side.

Cancel the common factor of $m$ .

Cancel the common factor.

$\frac{n + 5}{m} m = 6 m$

Rewrite the expression.

$n + 5 = 6 m$

Solve the equation.

Rewrite the equation as $6 m = n + 5$ .

$6 m = n + 5$

Divide each term in $6 m = n + 5$ by $6$ and simplify.

Divide each term in $6 m = n + 5$ by $6$ .

$\frac{6 m}{6} = \frac{n}{6} + \frac{5}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 m}{6} = \frac{n}{6} + \frac{5}{6}$

Divide $m$ by $1$ .

$m = \frac{n}{6} + \frac{5}{6}$