Solve 13/8-31/4

$$1 \frac { 3 } { 8 } - 3 \frac { 1 } { 4 }$$

Evaluate

$$-\frac{15}{8}=-1.875$$

Solution Steps

Multiply 1 and 8 to get 8.

$$\frac{8+3}{8}-\frac{3\times 4+1}{4}$$

Add 8 and 3 to get 11.

$$\frac{11}{8}-\frac{3\times 4+1}{4}$$

Multiply 3 and 4 to get 12.

$$\frac{11}{8}-\frac{12+1}{4}$$

Add 12 and 1 to get 13.

$$\frac{11}{8}-\frac{13}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{11}{8} and \frac{13}{4} to fractions with denominator 8.

$$\frac{11}{8}-\frac{26}{8}$$

Since \frac{11}{8} and \frac{26}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-26}{8}$$

Subtract 26 from 11 to get -15.

$$-\frac{15}{8}$$

Factor

$$-\frac{15}{8} = -1\frac{7}{8} = -1.875$$