Solve 4/a+6/a+2

$$\frac { 4 } { a } + \frac { 6 } { a + 2 }$$

Evaluate

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of a and a+2 is a\left(a+2\right). Multiply \frac{4}{a} times \frac{a+2}{a+2}. Multiply \frac{6}{a+2} times \frac{a}{a}.

$$\frac{4\left(a+2\right)}{a\left(a+2\right)}+\frac{6a}{a\left(a+2\right)}$$

Since \frac{4\left(a+2\right)}{a\left(a+2\right)} and \frac{6a}{a\left(a+2\right)} have the same denominator, add them by adding their numerators.

$$\frac{4\left(a+2\right)+6a}{a\left(a+2\right)}$$

Do the multiplications in 4\left(a+2\right)+6a.

$$\frac{4a+8+6a}{a\left(a+2\right)}$$

Combine like terms in 4a+8+6a.

$$\frac{10a+8}{a\left(a+2\right)}$$

Expand a\left(a+2\right).

$$\frac{10a+8}{a^{2}+2a}$$

Factor

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