Solve 36/6y+25/5y

$$\frac { 36 } { 6 y } + \frac { 25 } { 5 y }$$

Evaluate

$$\frac{11}{y}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 6y and 5y is 30y. Multiply \frac{36}{6y} times \frac{5}{5}. Multiply \frac{25}{5y} times \frac{6}{6}.

$$\frac{36\times 5}{30y}+\frac{25\times 6}{30y}$$

Since \frac{36\times 5}{30y} and \frac{25\times 6}{30y} have the same denominator, add them by adding their numerators.

$$\frac{36\times 5+25\times 6}{30y}$$

Do the multiplications in 36\times 5+25\times 6.

$$\frac{180+150}{30y}$$

Do the calculations in 180+150.

$$\frac{330}{30y}$$

Differentiate w.r.t. y

$$-\frac{11}{y^{2}}$$