Solve 300*(5/5-1/5)*(4/4-1/4)*(frac{2}{2}-2)

$$300 \times ( \frac { 5 } { 5 } - \frac { 1 } { 5 } ) \times ( \frac { 4 } { 4 } - \frac { 1 } { 4 } ) \times ( \frac { 2 } { 2 } - 2 )$$

Evaluate

$$-180$$

Solution Steps

Divide 5 by 5 to get 1.

$$300\left(1-\frac{1}{5}\right)\left(\frac{4}{4}-\frac{1}{4}\right)\left(\frac{2}{2}-2\right)$$

Divide 4 by 4 to get 1.

$$300\left(1-\frac{1}{5}\right)\left(1-\frac{1}{4}\right)\left(\frac{2}{2}-2\right)$$

Divide 2 by 2 to get 1.

$$300\left(1-\frac{1}{5}\right)\left(1-\frac{1}{4}\right)\left(1-2\right)$$

Convert 1 to fraction \frac{5}{5}.

$$300\left(\frac{5}{5}-\frac{1}{5}\right)\left(1-\frac{1}{4}\right)\left(1-2\right)$$

Since \frac{5}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$300\times \frac{5-1}{5}\left(1-\frac{1}{4}\right)\left(1-2\right)$$

Subtract 1 from 5 to get 4.

$$300\times \frac{4}{5}\left(1-\frac{1}{4}\right)\left(1-2\right)$$

Express 300\times \frac{4}{5} as a single fraction.

$$\frac{300\times 4}{5}\left(1-\frac{1}{4}\right)\left(1-2\right)$$

Multiply 300 and 4 to get 1200.

$$\frac{1200}{5}\left(1-\frac{1}{4}\right)\left(1-2\right)$$

Divide 1200 by 5 to get 240.

$$240\left(1-\frac{1}{4}\right)\left(1-2\right)$$

Convert 1 to fraction \frac{4}{4}.

$$240\left(\frac{4}{4}-\frac{1}{4}\right)\left(1-2\right)$$

Since \frac{4}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$240\times \frac{4-1}{4}\left(1-2\right)$$

Subtract 1 from 4 to get 3.

$$240\times \frac{3}{4}\left(1-2\right)$$

Express 240\times \frac{3}{4} as a single fraction.

$$\frac{240\times 3}{4}\left(1-2\right)$$

Multiply 240 and 3 to get 720.

$$\frac{720}{4}\left(1-2\right)$$

Divide 720 by 4 to get 180.

$$180\left(1-2\right)$$

Subtract 2 from 1 to get -1.

$$180\left(-1\right)$$

Multiply 180 and -1 to get -180.

$$-180$$

Factor

$$-180$$