Solve 150%-111/2+13/8+(-2.375)

$$150 \% - 11 \frac { 1 } { 2 } + 1 \frac { 3 } { 8 } + ( - 2.375 )$$

Evaluate

$$-11$$

Solution Steps

Reduce the fraction \frac{150}{100} to lowest terms by extracting and canceling out 50.

$$\frac{3}{2}-\frac{11\times 2+1}{2}+\frac{1\times 8+3}{8}-2.375$$

Multiply 11 and 2 to get 22.

$$\frac{3}{2}-\frac{22+1}{2}+\frac{1\times 8+3}{8}-2.375$$

Add 22 and 1 to get 23.

$$\frac{3}{2}-\frac{23}{2}+\frac{1\times 8+3}{8}-2.375$$

Since \frac{3}{2} and \frac{23}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-23}{2}+\frac{1\times 8+3}{8}-2.375$$

Subtract 23 from 3 to get -20.

$$\frac{-20}{2}+\frac{1\times 8+3}{8}-2.375$$

Divide -20 by 2 to get -10.

$$-10+\frac{1\times 8+3}{8}-2.375$$

Multiply 1 and 8 to get 8.

$$-10+\frac{8+3}{8}-2.375$$

Add 8 and 3 to get 11.

$$-10+\frac{11}{8}-2.375$$

Convert -10 to fraction -\frac{80}{8}.

$$-\frac{80}{8}+\frac{11}{8}-2.375$$

Since -\frac{80}{8} and \frac{11}{8} have the same denominator, add them by adding their numerators.

$$\frac{-80+11}{8}-2.375$$

Add -80 and 11 to get -69.

$$-\frac{69}{8}-2.375$$

Convert decimal number 2.375 to fraction \frac{2375}{1000}. Reduce the fraction \frac{2375}{1000} to lowest terms by extracting and canceling out 125.

$$-\frac{69}{8}-\frac{19}{8}$$

Since -\frac{69}{8} and \frac{19}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-69-19}{8}$$

Subtract 19 from -69 to get -88.

$$\frac{-88}{8}$$

Divide -88 by 8 to get -11.

$$-11$$

Factor

$$-11$$