Solve 3x/5y+4x/2y^2

$$\frac { 3 x } { 5 y } + \frac { 4 x } { 2 y ^ { 2 } }$$

Evaluate

$$\frac{x\left(3y+10\right)}{5y^{2}}$$

Short Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{3x}{5y}+\frac{2x}{y^{2}}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5y and y^{2} is 5y^{2}. Multiply \frac{3x}{5y} times \frac{y}{y}. Multiply \frac{2x}{y^{2}} times \frac{5}{5}.

$$\frac{3xy}{5y^{2}}+\frac{5\times 2x}{5y^{2}}$$

Since \frac{3xy}{5y^{2}} and \frac{5\times 2x}{5y^{2}} have the same denominator, add them by adding their numerators.

$$\frac{3xy+5\times 2x}{5y^{2}}$$

Do the multiplications in 3xy+5\times 2x.

$$\frac{3xy+10x}{5y^{2}}$$

Factor

$$\frac{x\left(3y+10\right)}{5y^{2}}$$