Solve 6+4/y/2+frac{6{y}}

$$\frac { 6 + \frac { 4 } { y } } { 2 + \frac { 6 } { y } }$$

Evaluate

$$\frac{3y+2}{y+3}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 6 times \frac{y}{y}.

$$\frac{\frac{6y}{y}+\frac{4}{y}}{2+\frac{6}{y}}$$

Since \frac{6y}{y} and \frac{4}{y} have the same denominator, add them by adding their numerators.

$$\frac{\frac{6y+4}{y}}{2+\frac{6}{y}}$$

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

$$\frac{\frac{6y+4}{y}}{\frac{2y}{y}+\frac{6}{y}}$$

Since \frac{2y}{y} and \frac{6}{y} have the same denominator, add them by adding their numerators.

$$\frac{\frac{6y+4}{y}}{\frac{2y+6}{y}}$$

Divide \frac{6y+4}{y} by \frac{2y+6}{y} by multiplying \frac{6y+4}{y} by the reciprocal of \frac{2y+6}{y}.

$$\frac{\left(6y+4\right)y}{y\left(2y+6\right)}$$

Cancel out y in both numerator and denominator.

$$\frac{6y+4}{2y+6}$$

Factor the expressions that are not already factored.

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

Cancel out 2 in both numerator and denominator.

$$\frac{3y+2}{y+3}$$

Expand

$$\frac{3y+2}{y+3}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 6 times \frac{y}{y}.

$$\frac{\frac{6y}{y}+\frac{4}{y}}{2+\frac{6}{y}}$$

Since \frac{6y}{y} and \frac{4}{y} have the same denominator, add them by adding their numerators.

$$\frac{\frac{6y+4}{y}}{2+\frac{6}{y}}$$

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

$$\frac{\frac{6y+4}{y}}{\frac{2y}{y}+\frac{6}{y}}$$

Since \frac{2y}{y} and \frac{6}{y} have the same denominator, add them by adding their numerators.

$$\frac{\frac{6y+4}{y}}{\frac{2y+6}{y}}$$

Divide \frac{6y+4}{y} by \frac{2y+6}{y} by multiplying \frac{6y+4}{y} by the reciprocal of \frac{2y+6}{y}.

$$\frac{\left(6y+4\right)y}{y\left(2y+6\right)}$$

Cancel out y in both numerator and denominator.

$$\frac{6y+4}{2y+6}$$

Factor the expressions that are not already factored.

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

Cancel out 2 in both numerator and denominator.

$$\frac{3y+2}{y+3}$$