Solve (6-8/3)-(-8*8/3)

$$( 6 - 8 / 3 ) - ( - 8 \cdot 8 / 3 )$$

Evaluate

$$\frac{74}{3}\approx 24.666666667$$

Solution Steps

Convert 6 to fraction \frac{18}{3}.

$$\frac{18}{3}-\frac{8}{3}-\left(-8\times \frac{8}{3}\right)$$

Since \frac{18}{3} and \frac{8}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18-8}{3}-\left(-8\times \frac{8}{3}\right)$$

Subtract 8 from 18 to get 10.

$$\frac{10}{3}-\left(-8\times \frac{8}{3}\right)$$

Express -8\times \frac{8}{3} as a single fraction.

$$\frac{10}{3}-\frac{-8\times 8}{3}$$

Multiply -8 and 8 to get -64.

$$\frac{10}{3}-\frac{-64}{3}$$

Fraction \frac{-64}{3} can be rewritten as -\frac{64}{3} by extracting the negative sign.

$$\frac{10}{3}-\left(-\frac{64}{3}\right)$$

The opposite of -\frac{64}{3} is \frac{64}{3}.

$$\frac{10}{3}+\frac{64}{3}$$

Since \frac{10}{3} and \frac{64}{3} have the same denominator, add them by adding their numerators.

$$\frac{10+64}{3}$$

Add 10 and 64 to get 74.

$$\frac{74}{3}$$

Factor

$$\frac{2 \cdot 37}{3} = 24\frac{2}{3} = 24.666666666666668$$