Solve 472m/44m-2m/m+2

$$\frac { 472 m } { 44 m } - \frac { 2 m } { m + 2 }$$

Evaluate

$$\frac{4\left(24m+59\right)}{11\left(m+2\right)}$$

Short Solution Steps

Cancel out 4m in both numerator and denominator.

$$\frac{118}{11}-\frac{2m}{m+2}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 11 and m+2 is 11\left(m+2\right). Multiply \frac{118}{11} times \frac{m+2}{m+2}. Multiply \frac{2m}{m+2} times \frac{11}{11}.

$$\frac{118\left(m+2\right)}{11\left(m+2\right)}-\frac{11\times 2m}{11\left(m+2\right)}$$

Since \frac{118\left(m+2\right)}{11\left(m+2\right)} and \frac{11\times 2m}{11\left(m+2\right)} have the same denominator, subtract them by subtracting their numerators.

$$\frac{118\left(m+2\right)-11\times 2m}{11\left(m+2\right)}$$

Do the multiplications in 118\left(m+2\right)-11\times 2m.

$$\frac{118m+236-22m}{11\left(m+2\right)}$$

Combine like terms in 118m+236-22m.

$$\frac{96m+236}{11\left(m+2\right)}$$

Expand 11\left(m+2\right).

$$\frac{96m+236}{11m+22}$$

Factor

$$\frac{4\left(24m+59\right)}{11\left(m+2\right)}$$