Solve 12/m+4/frac{3+m{m}}

$$\frac { \frac { 12 } { m } + 4 } { \frac { 3 + m } { m } }$$

Evaluate

$$4$$

Short Solution Steps

Divide \frac{12}{m}+4 by \frac{3+m}{m} by multiplying \frac{12}{m}+4 by the reciprocal of \frac{3+m}{m}.

$$\frac{\left(\frac{12}{m}+4\right)m}{3+m}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{m}{m}.

$$\frac{\left(\frac{12}{m}+\frac{4m}{m}\right)m}{3+m}$$

Since \frac{12}{m} and \frac{4m}{m} have the same denominator, add them by adding their numerators.

$$\frac{\frac{12+4m}{m}m}{3+m}$$

Cancel out m and m.

$$\frac{12+4m}{3+m}$$

Factor the expressions that are not already factored.

$$\frac{4\left(m+3\right)}{m+3}$$

Cancel out m+3 in both numerator and denominator.

$$4$$

Factor

$$2^{2}$$