Solve 5z/6-z/8

$$\frac { 5 z } { 6 } - \frac { z } { 8 }$$

Evaluate

$$\frac{17z}{24}$$

Short Solution Steps

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

$$\frac{4\times 5z}{24}-\frac{3z}{24}$$

Since \frac{4\times 5z}{24} and \frac{3z}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4\times 5z-3z}{24}$$

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

$$\frac{20z-3z}{24}$$

Combine like terms in 20z-3z.

$$\frac{17z}{24}$$

Differentiate w.r.t. z

$$\frac{17}{24} = 0.7083333333333334$$