Solve 7/y-2/3y

$$\frac { 7 } { y } - \frac { 2 } { 3 y }$$

Evaluate

$$\frac{19}{3y}$$

Short Solution Steps

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

$$\frac{7\times 3}{3y}-\frac{2}{3y}$$

Since \frac{7\times 3}{3y} and \frac{2}{3y} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7\times 3-2}{3y}$$

Do the multiplications in 7\times 3-2.

$$\frac{21-2}{3y}$$

Do the calculations in 21-2.

$$\frac{19}{3y}$$

Differentiate w.r.t. y

$$-\frac{19}{3y^{2}}$$