Solve -1/8y+5/6y

$$\frac { - 1 } { 8 y } + \frac { 5 } { 6 y }$$

Evaluate

$$\frac{17}{24y}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 8y and 6y is 24y. Multiply \frac{-1}{8y} times \frac{3}{3}. Multiply \frac{5}{6y} times \frac{4}{4}.

$$\frac{-3}{24y}+\frac{5\times 4}{24y}$$

Since \frac{-3}{24y} and \frac{5\times 4}{24y} have the same denominator, add them by adding their numerators.

$$\frac{-3+5\times 4}{24y}$$

Do the multiplications in -3+5\times 4.

$$\frac{-3+20}{24y}$$

Do the calculations in -3+20.

$$\frac{17}{24y}$$

Differentiate w.r.t. y

$$-\frac{17}{24y^{2}}$$