Solve for m m/n+5m=20

$\frac{m}{n} + 5 m = 20$

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.

$n, 1, 1$

The LCM of one and any expression is the expression.

$n$

Multiply each term in $\frac{m}{n} + 5 m = 20$ by $n$ to eliminate the fractions.

Multiply each term in $\frac{m}{n} + 5 m = 20$ by $n$ .

$\frac{m}{n} n + 5 m n = 20 n$

Simplify the left side.

Cancel the common factor of $n$ .

Cancel the common factor.

$\frac{m}{n} n + 5 m n = 20 n$

Rewrite the expression.

$m + 5 m n = 20 n$

Solve the equation.

Factor $m$ out of $m + 5 m n$ .

Raise $m$ to the power of $1$ .

$m + 5 m n = 20 n$

Factor $m$ out of $m^{1}$ .

$m \cdot 1 + 5 m n = 20 n$

Factor $m$ out of $5 m n$ .

$m \cdot 1 + m (5 n) = 20 n$

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

$m (1 + 5 n) = 20 n$

Divide each term in $m (1 + 5 n) = 20 n$ by $1 + 5 n$ and simplify.

Divide each term in $m (1 + 5 n) = 20 n$ by $1 + 5 n$ .

$\frac{m (1 + 5 n)}{1 + 5 n} = \frac{20 n}{1 + 5 n}$

Simplify the left side.

Cancel the common factor of $1 + 5 n$ .

Cancel the common factor.

$\frac{m (1 + 5 n)}{1 + 5 n} = \frac{20 n}{1 + 5 n}$

Divide $m$ by $1$ .

$m = \frac{20 n}{1 + 5 n}$