Solve 5/3y+7/5y

$$\frac { 5 } { 3 y } + \frac { 7 } { 5 y }$$

Evaluate

$$\frac{46}{15y}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3y and 5y is 15y. Multiply \frac{5}{3y} times \frac{5}{5}. Multiply \frac{7}{5y} times \frac{3}{3}.

$$\frac{5\times 5}{15y}+\frac{7\times 3}{15y}$$

Since \frac{5\times 5}{15y} and \frac{7\times 3}{15y} have the same denominator, add them by adding their numerators.

$$\frac{5\times 5+7\times 3}{15y}$$

Do the multiplications in 5\times 5+7\times 3.

$$\frac{25+21}{15y}$$

Do the calculations in 25+21.

$$\frac{46}{15y}$$

Differentiate w.r.t. y

$$-\frac{46}{15y^{2}}$$