Solve 4/9y+7/6y

$$\frac { 4 } { 9 y } + \frac { 7 } { 6 y }$$

Evaluate

$$\frac{29}{18y}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 9y and 6y is 18y. Multiply \frac{4}{9y} times \frac{2}{2}. Multiply \frac{7}{6y} times \frac{3}{3}.

$$\frac{4\times 2}{18y}+\frac{7\times 3}{18y}$$

Since \frac{4\times 2}{18y} and \frac{7\times 3}{18y} have the same denominator, add them by adding their numerators.

$$\frac{4\times 2+7\times 3}{18y}$$

Do the multiplications in 4\times 2+7\times 3.

$$\frac{8+21}{18y}$$

Do the calculations in 8+21.

$$\frac{29}{18y}$$

Differentiate w.r.t. y

$$-\frac{29}{18y^{2}}$$