Solve 12/8-(-1/8)-26/8=

$$1 \frac { 2 } { 8 } - ( - \frac { 1 } { 8 } ) - 2 \frac { 6 } { 8 } =$$

Evaluate

$$-\frac{11}{8}=-1.375$$

Solution Steps

Multiply 1 and 8 to get 8.

$$\frac{8+2}{8}-\left(-\frac{1}{8}\right)-\frac{2\times 8+6}{8}$$

Add 8 and 2 to get 10.

$$\frac{10}{8}-\left(-\frac{1}{8}\right)-\frac{2\times 8+6}{8}$$

Reduce the fraction \frac{10}{8} to lowest terms by extracting and canceling out 2.

$$\frac{5}{4}-\left(-\frac{1}{8}\right)-\frac{2\times 8+6}{8}$$

The opposite of -\frac{1}{8} is \frac{1}{8}.

$$\frac{5}{4}+\frac{1}{8}-\frac{2\times 8+6}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{5}{4} and \frac{1}{8} to fractions with denominator 8.

$$\frac{10}{8}+\frac{1}{8}-\frac{2\times 8+6}{8}$$

Since \frac{10}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

$$\frac{10+1}{8}-\frac{2\times 8+6}{8}$$

Add 10 and 1 to get 11.

$$\frac{11}{8}-\frac{2\times 8+6}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{11}{8}-\frac{16+6}{8}$$

Add 16 and 6 to get 22.

$$\frac{11}{8}-\frac{22}{8}$$

Since \frac{11}{8} and \frac{22}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-22}{8}$$

Subtract 22 from 11 to get -11.

$$-\frac{11}{8}$$

Factor

$$-\frac{11}{8} = -1\frac{3}{8} = -1.375$$