Solve 4+4/y/2+frac{2{y}}

$$\frac { 4 + \frac { 4 } { y } } { 2 + \frac { 2 } { y } }$$

Evaluate

$$2$$

Short Solution Steps

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

$$\frac{\frac{4y}{y}+\frac{4}{y}}{2+\frac{2}{y}}$$

Since \frac{4y}{y} and \frac{4}{y} have the same denominator, add them by adding their numerators.

$$\frac{\frac{4y+4}{y}}{2+\frac{2}{y}}$$

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

$$\frac{\frac{4y+4}{y}}{\frac{2y}{y}+\frac{2}{y}}$$

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

$$\frac{\frac{4y+4}{y}}{\frac{2y+2}{y}}$$

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

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

Cancel out y in both numerator and denominator.

$$\frac{4y+4}{2y+2}$$

Factor the expressions that are not already factored.

$$\frac{4\left(y+1\right)}{2\left(y+1\right)}$$

Cancel out 2\left(y+1\right) in both numerator and denominator.

$$2$$

Factor

$$2$$