Solve 4-8/x+2/3-frac{6{x+2}}

$$\frac { 4 - \frac { 8 } { x + 2 } } { 3 - \frac { 6 } { x + 2 } }$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{x+2}{x+2}.

$$\frac{\frac{4\left(x+2\right)}{x+2}-\frac{8}{x+2}}{3-\frac{6}{x+2}}$$

Since \frac{4\left(x+2\right)}{x+2} and \frac{8}{x+2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{4\left(x+2\right)-8}{x+2}}{3-\frac{6}{x+2}}$$

Do the multiplications in 4\left(x+2\right)-8.

$$\frac{\frac{4x+8-8}{x+2}}{3-\frac{6}{x+2}}$$

Combine like terms in 4x+8-8.

$$\frac{\frac{4x}{x+2}}{3-\frac{6}{x+2}}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 3 times \frac{x+2}{x+2}.

$$\frac{\frac{4x}{x+2}}{\frac{3\left(x+2\right)}{x+2}-\frac{6}{x+2}}$$

Since \frac{3\left(x+2\right)}{x+2} and \frac{6}{x+2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{4x}{x+2}}{\frac{3\left(x+2\right)-6}{x+2}}$$

Do the multiplications in 3\left(x+2\right)-6.

$$\frac{\frac{4x}{x+2}}{\frac{3x+6-6}{x+2}}$$

Combine like terms in 3x+6-6.

$$\frac{\frac{4x}{x+2}}{\frac{3x}{x+2}}$$

Divide \frac{4x}{x+2} by \frac{3x}{x+2} by multiplying \frac{4x}{x+2} by the reciprocal of \frac{3x}{x+2}.

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

Cancel out x\left(x+2\right) in both numerator and denominator.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$