Solve x+3/6/1+frac{x{2}}

$$\frac { \frac { x + 3 } { 6 } } { 1 + \frac { x } { 2 } }$$

Evaluate

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{2}{2}.

$$\frac{\frac{x+3}{6}}{\frac{2}{2}+\frac{x}{2}}$$

Since \frac{2}{2} and \frac{x}{2} have the same denominator, add them by adding their numerators.

$$\frac{\frac{x+3}{6}}{\frac{2+x}{2}}$$

Divide \frac{x+3}{6} by \frac{2+x}{2} by multiplying \frac{x+3}{6} by the reciprocal of \frac{2+x}{2}.

$$\frac{\left(x+3\right)\times 2}{6\left(2+x\right)}$$

Cancel out 2 in both numerator and denominator.

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

Use the distributive property to multiply 3 by x+2.

$$\frac{x+3}{3x+6}$$

Expand

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{2}{2}.

$$\frac{\frac{x+3}{6}}{\frac{2}{2}+\frac{x}{2}}$$

Since \frac{2}{2} and \frac{x}{2} have the same denominator, add them by adding their numerators.

$$\frac{\frac{x+3}{6}}{\frac{2+x}{2}}$$

Divide \frac{x+3}{6} by \frac{2+x}{2} by multiplying \frac{x+3}{6} by the reciprocal of \frac{2+x}{2}.

$$\frac{\left(x+3\right)\times 2}{6\left(2+x\right)}$$

Cancel out 2 in both numerator and denominator.

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

Use the distributive property to multiply 3 by x+2.

$$\frac{x+3}{3x+6}$$