Solve 1-6(200.5+2(0-1)+2(0-1)+2(0-1)+2(0-1)/12)

$$1 - 6 ( 200.5 + \frac { 2 ( 0 - 1 ) + 2 ( 0 - 1 ) + 2 ( 0 - 1 ) + 2 ( 0 - 1 ) } { 12 } )$$

Evaluate

$$-1198$$

Solution Steps

Subtract 1 from 0 to get -1.

$$1-6\left(200.5+\frac{2\left(-1\right)+2\left(0-1\right)+2\left(0-1\right)+2\left(0-1\right)}{12}\right)$$

Multiply 2 and -1 to get -2.

$$1-6\left(200.5+\frac{-2+2\left(0-1\right)+2\left(0-1\right)+2\left(0-1\right)}{12}\right)$$

Subtract 1 from 0 to get -1.

$$1-6\left(200.5+\frac{-2+2\left(-1\right)+2\left(0-1\right)+2\left(0-1\right)}{12}\right)$$

Multiply 2 and -1 to get -2.

$$1-6\left(200.5+\frac{-2-2+2\left(0-1\right)+2\left(0-1\right)}{12}\right)$$

Subtract 2 from -2 to get -4.

$$1-6\left(200.5+\frac{-4+2\left(0-1\right)+2\left(0-1\right)}{12}\right)$$

Subtract 1 from 0 to get -1.

$$1-6\left(200.5+\frac{-4+2\left(-1\right)+2\left(0-1\right)}{12}\right)$$

Multiply 2 and -1 to get -2.

$$1-6\left(200.5+\frac{-4-2+2\left(0-1\right)}{12}\right)$$

Subtract 2 from -4 to get -6.

$$1-6\left(200.5+\frac{-6+2\left(0-1\right)}{12}\right)$$

Subtract 1 from 0 to get -1.

$$1-6\left(200.5+\frac{-6+2\left(-1\right)}{12}\right)$$

Multiply 2 and -1 to get -2.

$$1-6\left(200.5+\frac{-6-2}{12}\right)$$

Subtract 2 from -6 to get -8.

$$1-6\left(200.5+\frac{-8}{12}\right)$$

Reduce the fraction \frac{-8}{12} to lowest terms by extracting and canceling out 4.

$$1-6\left(200.5-\frac{2}{3}\right)$$

Convert decimal number 200.5 to fraction \frac{2005}{10}. Reduce the fraction \frac{2005}{10} to lowest terms by extracting and canceling out 5.

$$1-6\left(\frac{401}{2}-\frac{2}{3}\right)$$

Least common multiple of 2 and 3 is 6. Convert \frac{401}{2} and \frac{2}{3} to fractions with denominator 6.

$$1-6\left(\frac{1203}{6}-\frac{4}{6}\right)$$

Since \frac{1203}{6} and \frac{4}{6} have the same denominator, subtract them by subtracting their numerators.

$$1-6\times \frac{1203-4}{6}$$

Subtract 4 from 1203 to get 1199.

$$1-6\times \frac{1199}{6}$$

Cancel out 6 and 6.

$$1-1199$$

Subtract 1199 from 1 to get -1198.

$$-1198$$

Factor

$$-1198$$