Solve 1/24*64-8+16

$$\frac { 1 } { 24 } \cdot 64 - 8 + 16$$

Evaluate

$$\frac{32}{3}\approx 10.666666667$$

Solution Steps

Multiply \frac{1}{24} and 64 to get \frac{64}{24}.

$$\frac{64}{24}-8+16$$

Reduce the fraction \frac{64}{24} to lowest terms by extracting and canceling out 8.

$$\frac{8}{3}-8+16$$

Convert 8 to fraction \frac{24}{3}.

$$\frac{8}{3}-\frac{24}{3}+16$$

Since \frac{8}{3} and \frac{24}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-24}{3}+16$$

Subtract 24 from 8 to get -16.

$$-\frac{16}{3}+16$$

Convert 16 to fraction \frac{48}{3}.

$$-\frac{16}{3}+\frac{48}{3}$$

Since -\frac{16}{3} and \frac{48}{3} have the same denominator, add them by adding their numerators.

$$\frac{-16+48}{3}$$

Add -16 and 48 to get 32.

$$\frac{32}{3}$$

Factor

$$\frac{2 ^ {5}}{3} = 10\frac{2}{3} = 10.666666666666666$$