Solve 11/8-0.8-3/8=

$$\frac { 11 } { 8 } - 0.8 - \frac { 3 } { 8 } =$$

Evaluate

$$0.2$$

Solution Steps

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{11}{8}-\frac{4}{5}-\frac{3}{8}$$

Least common multiple of 8 and 5 is 40. Convert \frac{11}{8} and \frac{4}{5} to fractions with denominator 40.

$$\frac{55}{40}-\frac{32}{40}-\frac{3}{8}$$

Since \frac{55}{40} and \frac{32}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{55-32}{40}-\frac{3}{8}$$

Subtract 32 from 55 to get 23.

$$\frac{23}{40}-\frac{3}{8}$$

Least common multiple of 40 and 8 is 40. Convert \frac{23}{40} and \frac{3}{8} to fractions with denominator 40.

$$\frac{23}{40}-\frac{15}{40}$$

Since \frac{23}{40} and \frac{15}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{23-15}{40}$$

Subtract 15 from 23 to get 8.

$$\frac{8}{40}$$

Reduce the fraction \frac{8}{40} to lowest terms by extracting and canceling out 8.

$$\frac{1}{5}$$

Factor

$$\frac{1}{5} = 0.2$$