Solve 5/4+3/4(x+2)

$$\frac { 5 } { 4 } + \frac { 3 } { 4 ( x + 2 ) }$$

Evaluate

$$\frac{5x+13}{4\left(x+2\right)}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 4\left(x+2\right) is 4\left(x+2\right). Multiply \frac{5}{4} times \frac{x+2}{x+2}.

$$\frac{5\left(x+2\right)}{4\left(x+2\right)}+\frac{3}{4\left(x+2\right)}$$

Since \frac{5\left(x+2\right)}{4\left(x+2\right)} and \frac{3}{4\left(x+2\right)} have the same denominator, add them by adding their numerators.

$$\frac{5\left(x+2\right)+3}{4\left(x+2\right)}$$

Do the multiplications in 5\left(x+2\right)+3.

$$\frac{5x+10+3}{4\left(x+2\right)}$$

Combine like terms in 5x+10+3.

$$\frac{5x+13}{4\left(x+2\right)}$$

Expand 4\left(x+2\right).

$$\frac{5x+13}{4x+8}$$

Expand

$$\frac{5x+13}{4\left(x+2\right)}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 4\left(x+2\right) is 4\left(x+2\right). Multiply \frac{5}{4} times \frac{x+2}{x+2}.

$$\frac{5\left(x+2\right)}{4\left(x+2\right)}+\frac{3}{4\left(x+2\right)}$$

Since \frac{5\left(x+2\right)}{4\left(x+2\right)} and \frac{3}{4\left(x+2\right)} have the same denominator, add them by adding their numerators.

$$\frac{5\left(x+2\right)+3}{4\left(x+2\right)}$$

Do the multiplications in 5\left(x+2\right)+3.

$$\frac{5x+10+3}{4\left(x+2\right)}$$

Combine like terms in 5x+10+3.

$$\frac{5x+13}{4\left(x+2\right)}$$

Expand 4\left(x+2\right).

$$\frac{5x+13}{4x+8}$$