Solve 4-4/x+10/8+frac{8{x+10}}=

$$\frac { 4 - \frac { 4 } { x + 10 } } { 8 + \frac { 8 } { x + 10 } } =$$

Evaluate

$$\frac{x+9}{2\left(x+11\right)}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{x+10}{x+10}.

$$\frac{\frac{4\left(x+10\right)}{x+10}-\frac{4}{x+10}}{8+\frac{8}{x+10}}$$

Since \frac{4\left(x+10\right)}{x+10} and \frac{4}{x+10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{4\left(x+10\right)-4}{x+10}}{8+\frac{8}{x+10}}$$

Do the multiplications in 4\left(x+10\right)-4.

$$\frac{\frac{4x+40-4}{x+10}}{8+\frac{8}{x+10}}$$

Combine like terms in 4x+40-4.

$$\frac{\frac{4x+36}{x+10}}{8+\frac{8}{x+10}}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 8 times \frac{x+10}{x+10}.

$$\frac{\frac{4x+36}{x+10}}{\frac{8\left(x+10\right)}{x+10}+\frac{8}{x+10}}$$

Since \frac{8\left(x+10\right)}{x+10} and \frac{8}{x+10} have the same denominator, add them by adding their numerators.

$$\frac{\frac{4x+36}{x+10}}{\frac{8\left(x+10\right)+8}{x+10}}$$

Do the multiplications in 8\left(x+10\right)+8.

$$\frac{\frac{4x+36}{x+10}}{\frac{8x+80+8}{x+10}}$$

Combine like terms in 8x+80+8.

$$\frac{\frac{4x+36}{x+10}}{\frac{8x+88}{x+10}}$$

Divide \frac{4x+36}{x+10} by \frac{8x+88}{x+10} by multiplying \frac{4x+36}{x+10} by the reciprocal of \frac{8x+88}{x+10}.

$$\frac{\left(4x+36\right)\left(x+10\right)}{\left(x+10\right)\left(8x+88\right)}$$

Cancel out x+10 in both numerator and denominator.

$$\frac{4x+36}{8x+88}$$

Factor the expressions that are not already factored.

$$\frac{4\left(x+9\right)}{8\left(x+11\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{x+9}{2\left(x+11\right)}$$

Expand the expression.

$$\frac{x+9}{2x+22}$$

Expand

$$\frac{x+9}{2\left(x+11\right)}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{x+10}{x+10}.

$$\frac{\frac{4\left(x+10\right)}{x+10}-\frac{4}{x+10}}{8+\frac{8}{x+10}}$$

Since \frac{4\left(x+10\right)}{x+10} and \frac{4}{x+10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{4\left(x+10\right)-4}{x+10}}{8+\frac{8}{x+10}}$$

Do the multiplications in 4\left(x+10\right)-4.

$$\frac{\frac{4x+40-4}{x+10}}{8+\frac{8}{x+10}}$$

Combine like terms in 4x+40-4.

$$\frac{\frac{4x+36}{x+10}}{8+\frac{8}{x+10}}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 8 times \frac{x+10}{x+10}.

$$\frac{\frac{4x+36}{x+10}}{\frac{8\left(x+10\right)}{x+10}+\frac{8}{x+10}}$$

Since \frac{8\left(x+10\right)}{x+10} and \frac{8}{x+10} have the same denominator, add them by adding their numerators.

$$\frac{\frac{4x+36}{x+10}}{\frac{8\left(x+10\right)+8}{x+10}}$$

Do the multiplications in 8\left(x+10\right)+8.

$$\frac{\frac{4x+36}{x+10}}{\frac{8x+80+8}{x+10}}$$

Combine like terms in 8x+80+8.

$$\frac{\frac{4x+36}{x+10}}{\frac{8x+88}{x+10}}$$

Divide \frac{4x+36}{x+10} by \frac{8x+88}{x+10} by multiplying \frac{4x+36}{x+10} by the reciprocal of \frac{8x+88}{x+10}.

$$\frac{\left(4x+36\right)\left(x+10\right)}{\left(x+10\right)\left(8x+88\right)}$$

Cancel out x+10 in both numerator and denominator.

$$\frac{4x+36}{8x+88}$$

Factor the expressions that are not already factored.

$$\frac{4\left(x+9\right)}{8\left(x+11\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{x+9}{2\left(x+11\right)}$$

Expand the expression.

$$\frac{x+9}{2x+22}$$