Solve -9.35*8+(-97/20)*2-10*|-9.35|

$$- 9.35 \times 8 + ( - 9 \frac { 7 } { 20 } ) \times 2 - 10 \times | - 9.35 |$$

Evaluate

$$-187$$

Solution Steps

Multiply -9.35 and 8 to get -74.8.

$$-74.8+\left(-\frac{9\times 20+7}{20}\right)\times 2-10|-9.35|$$

Multiply 9 and 20 to get 180.

$$-74.8+\left(-\frac{180+7}{20}\right)\times 2-10|-9.35|$$

Add 180 and 7 to get 187.

$$-74.8-\frac{187}{20}\times 2-10|-9.35|$$

Express -\frac{187}{20}\times 2 as a single fraction.

$$-74.8+\frac{-187\times 2}{20}-10|-9.35|$$

Multiply -187 and 2 to get -374.

$$-74.8+\frac{-374}{20}-10|-9.35|$$

Reduce the fraction \frac{-374}{20} to lowest terms by extracting and canceling out 2.

$$-74.8-\frac{187}{10}-10|-9.35|$$

Convert decimal number -74.8 to fraction -\frac{748}{10}. Reduce the fraction -\frac{748}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{374}{5}-\frac{187}{10}-10|-9.35|$$

Least common multiple of 5 and 10 is 10. Convert -\frac{374}{5} and \frac{187}{10} to fractions with denominator 10.

$$-\frac{748}{10}-\frac{187}{10}-10|-9.35|$$

Since -\frac{748}{10} and \frac{187}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-748-187}{10}-10|-9.35|$$

Subtract 187 from -748 to get -935.

$$\frac{-935}{10}-10|-9.35|$$

Reduce the fraction \frac{-935}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{187}{2}-10|-9.35|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -9.35 is 9.35.

$$-\frac{187}{2}-10\times 9.35$$

Multiply 10 and 9.35 to get 93.5.

$$-\frac{187}{2}-93.5$$

Convert decimal number 93.5 to fraction \frac{935}{10}. Reduce the fraction \frac{935}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{187}{2}-\frac{187}{2}$$

Since -\frac{187}{2} and \frac{187}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-187-187}{2}$$

Subtract 187 from -187 to get -374.

$$\frac{-374}{2}$$

Divide -374 by 2 to get -187.

$$-187$$

Factor

$$-187$$