Solve 5^3/3-3*25+50-(2^3/3-3*4+20)

$$\frac{ { 5 }^{ 3 } }{ 3 } -3 \cdot 25+50-( \frac{ { 2 }^{ 3 } }{ 3 } -3 \cdot 4+20)$$

Evaluate

$$6$$

Solution Steps

Calculate 5 to the power of 3 and get 125.

$$\frac{125}{3}-3\times 25+50-\left(\frac{2^{3}}{3}-3\times 4+20\right)$$

Multiply 3 and 25 to get 75.

$$\frac{125}{3}-75+50-\left(\frac{2^{3}}{3}-3\times 4+20\right)$$

Convert 75 to fraction \frac{225}{3}.

$$\frac{125}{3}-\frac{225}{3}+50-\left(\frac{2^{3}}{3}-3\times 4+20\right)$$

Since \frac{125}{3} and \frac{225}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{125-225}{3}+50-\left(\frac{2^{3}}{3}-3\times 4+20\right)$$

Subtract 225 from 125 to get -100.

$$-\frac{100}{3}+50-\left(\frac{2^{3}}{3}-3\times 4+20\right)$$

Convert 50 to fraction \frac{150}{3}.

$$-\frac{100}{3}+\frac{150}{3}-\left(\frac{2^{3}}{3}-3\times 4+20\right)$$

Since -\frac{100}{3} and \frac{150}{3} have the same denominator, add them by adding their numerators.

$$\frac{-100+150}{3}-\left(\frac{2^{3}}{3}-3\times 4+20\right)$$

Add -100 and 150 to get 50.

$$\frac{50}{3}-\left(\frac{2^{3}}{3}-3\times 4+20\right)$$

Calculate 2 to the power of 3 and get 8.

$$\frac{50}{3}-\left(\frac{8}{3}-3\times 4+20\right)$$

Multiply 3 and 4 to get 12.

$$\frac{50}{3}-\left(\frac{8}{3}-12+20\right)$$

Convert 12 to fraction \frac{36}{3}.

$$\frac{50}{3}-\left(\frac{8}{3}-\frac{36}{3}+20\right)$$

Since \frac{8}{3} and \frac{36}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{50}{3}-\left(\frac{8-36}{3}+20\right)$$

Subtract 36 from 8 to get -28.

$$\frac{50}{3}-\left(-\frac{28}{3}+20\right)$$

Convert 20 to fraction \frac{60}{3}.

$$\frac{50}{3}-\left(-\frac{28}{3}+\frac{60}{3}\right)$$

Since -\frac{28}{3} and \frac{60}{3} have the same denominator, add them by adding their numerators.

$$\frac{50}{3}-\frac{-28+60}{3}$$

Add -28 and 60 to get 32.

$$\frac{50}{3}-\frac{32}{3}$$

Since \frac{50}{3} and \frac{32}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{50-32}{3}$$

Subtract 32 from 50 to get 18.

$$\frac{18}{3}$$

Divide 18 by 3 to get 6.

$$6$$

Factor

$$2\times 3$$