Solve 13/8-27/8

$$1 \frac { 3 } { 8 } - 2 \frac { 7 } { 8 }$$

Evaluate

$$-\frac{3}{2}=-1.5$$

Solution Steps

Multiply 1 and 8 to get 8.

$$\frac{8+3}{8}-\frac{2\times 8+7}{8}$$

Add 8 and 3 to get 11.

$$\frac{11}{8}-\frac{2\times 8+7}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{11}{8}-\frac{16+7}{8}$$

Add 16 and 7 to get 23.

$$\frac{11}{8}-\frac{23}{8}$$

Since \frac{11}{8} and \frac{23}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-23}{8}$$

Subtract 23 from 11 to get -12.

$$\frac{-12}{8}$$

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

$$-\frac{3}{2}$$

Factor

$$-\frac{3}{2} = -1\frac{1}{2} = -1.5$$