Solve 100-1/12*20^2-20/3*20

$$100 - \frac { 1 } { 12 } \times 20 ^ { 2 } - \frac { 20 } { 3 } \times 20$$

Evaluate

$$-\frac{200}{3}\approx -66.666666667$$

Solution Steps

Calculate 20 to the power of 2 and get 400.

$$100-\frac{1}{12}\times 400-\frac{20}{3}\times 20$$

Multiply \frac{1}{12} and 400 to get \frac{400}{12}.

$$100-\frac{400}{12}-\frac{20}{3}\times 20$$

Reduce the fraction \frac{400}{12} to lowest terms by extracting and canceling out 4.

$$100-\frac{100}{3}-\frac{20}{3}\times 20$$

Convert 100 to fraction \frac{300}{3}.

$$\frac{300}{3}-\frac{100}{3}-\frac{20}{3}\times 20$$

Since \frac{300}{3} and \frac{100}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{300-100}{3}-\frac{20}{3}\times 20$$

Subtract 100 from 300 to get 200.

$$\frac{200}{3}-\frac{20}{3}\times 20$$

Express \frac{20}{3}\times 20 as a single fraction.

$$\frac{200}{3}-\frac{20\times 20}{3}$$

Multiply 20 and 20 to get 400.

$$\frac{200}{3}-\frac{400}{3}$$

Since \frac{200}{3} and \frac{400}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{200-400}{3}$$

Subtract 400 from 200 to get -200.

$$-\frac{200}{3}$$

Factor

$$-\frac{200}{3} = -66\frac{2}{3} = -66.66666666666667$$