Solve (5*2^3-3*2^3):24+131-3

$$( 5 \times 2 ^ { 3 } - 3 \times 2 ^ { 3 } ) : 24 + 131 - 3$$

Evaluate

$$\frac{386}{3}\approx 128.666666667$$

Solution Steps

Calculate 2 to the power of 3 and get 8.

$$\frac{5\times 8-3\times 2^{3}}{24}+131-3$$

Multiply 5 and 8 to get 40.

$$\frac{40-3\times 2^{3}}{24}+131-3$$

Calculate 2 to the power of 3 and get 8.

$$\frac{40-3\times 8}{24}+131-3$$

Multiply 3 and 8 to get 24.

$$\frac{40-24}{24}+131-3$$

Subtract 24 from 40 to get 16.

$$\frac{16}{24}+131-3$$

Reduce the fraction \frac{16}{24} to lowest terms by extracting and canceling out 8.

$$\frac{2}{3}+131-3$$

Convert 131 to fraction \frac{393}{3}.

$$\frac{2}{3}+\frac{393}{3}-3$$

Since \frac{2}{3} and \frac{393}{3} have the same denominator, add them by adding their numerators.

$$\frac{2+393}{3}-3$$

Add 2 and 393 to get 395.

$$\frac{395}{3}-3$$

Convert 3 to fraction \frac{9}{3}.

$$\frac{395}{3}-\frac{9}{3}$$

Since \frac{395}{3} and \frac{9}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{395-9}{3}$$

Subtract 9 from 395 to get 386.

$$\frac{386}{3}$$

Factor

$$\frac{2 \cdot 193}{3} = 128\frac{2}{3} = 128.66666666666666$$