Solve 2/9+1/2*1/y=

$$\frac { 2 } { 9 } + \frac { 1 } { 2 } \cdot \frac { 1 } { y } =$$

Evaluate

$$\frac{2}{9}+\frac{1}{2y}$$

Short Solution Steps

Multiply \frac{1}{2} times \frac{1}{y} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{9}+\frac{1}{2y}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 9 and 2y is 18y. Multiply \frac{2}{9} times \frac{2y}{2y}. Multiply \frac{1}{2y} times \frac{9}{9}.

$$\frac{2\times 2y}{18y}+\frac{9}{18y}$$

Since \frac{2\times 2y}{18y} and \frac{9}{18y} have the same denominator, add them by adding their numerators.

$$\frac{2\times 2y+9}{18y}$$

Do the multiplications in 2\times 2y+9.

$$\frac{4y+9}{18y}$$

Factor

$$\frac{4y+9}{18y}$$