Solve -3/4+h+3/4

$$- \frac { 3 } { 4 + h } + \frac { 3 } { 4 }$$

Evaluate

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4+h and 4 is 4\left(h+4\right). Multiply -\frac{3}{4+h} times \frac{4}{4}. Multiply \frac{3}{4} times \frac{h+4}{h+4}.

$$-\frac{3\times 4}{4\left(h+4\right)}+\frac{3\left(h+4\right)}{4\left(h+4\right)}$$

Since -\frac{3\times 4}{4\left(h+4\right)} and \frac{3\left(h+4\right)}{4\left(h+4\right)} have the same denominator, add them by adding their numerators.

$$\frac{-3\times 4+3\left(h+4\right)}{4\left(h+4\right)}$$

Do the multiplications in -3\times 4+3\left(h+4\right).

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

Combine like terms in -12+3h+12.

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

Expand 4\left(h+4\right).

$$\frac{3h}{4h+16}$$

Factor

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