Solve 4/k+1+9/2(k+1)

$$\frac { 4 } { k + 1 } + \frac { 9 } { 2 ( k + 1 ) }$$

Evaluate

$$\frac{17}{2\left(k+1\right)}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of k+1 and 2\left(k+1\right) is 2\left(k+1\right). Multiply \frac{4}{k+1} times \frac{2}{2}.

$$\frac{4\times 2}{2\left(k+1\right)}+\frac{9}{2\left(k+1\right)}$$

Since \frac{4\times 2}{2\left(k+1\right)} and \frac{9}{2\left(k+1\right)} have the same denominator, add them by adding their numerators.

$$\frac{4\times 2+9}{2\left(k+1\right)}$$

Do the multiplications in 4\times 2+9.

$$\frac{8+9}{2\left(k+1\right)}$$

Do the calculations in 8+9.

$$\frac{17}{2\left(k+1\right)}$$

Expand 2\left(k+1\right).

$$\frac{17}{2k+2}$$

Expand

$$\frac{17}{2\left(k+1\right)}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of k+1 and 2\left(k+1\right) is 2\left(k+1\right). Multiply \frac{4}{k+1} times \frac{2}{2}.

$$\frac{4\times 2}{2\left(k+1\right)}+\frac{9}{2\left(k+1\right)}$$

Since \frac{4\times 2}{2\left(k+1\right)} and \frac{9}{2\left(k+1\right)} have the same denominator, add them by adding their numerators.

$$\frac{4\times 2+9}{2\left(k+1\right)}$$

Do the multiplications in 4\times 2+9.

$$\frac{8+9}{2\left(k+1\right)}$$

Do the calculations in 8+9.

$$\frac{17}{2\left(k+1\right)}$$

Expand 2\left(k+1\right).

$$\frac{17}{2k+2}$$