Solve 7/8-2/5-1/10

$$\frac { 7 } { 8 } - \frac { 2 } { 5 } - \frac { 1 } { 10 }$$

Evaluate

$$\frac{3}{8}=0.375$$

Solution Steps

Least common multiple of 8 and 5 is 40. Convert \frac{7}{8} and \frac{2}{5} to fractions with denominator 40.

$$\frac{35}{40}-\frac{16}{40}-\frac{1}{10}$$

Since \frac{35}{40} and \frac{16}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-16}{40}-\frac{1}{10}$$

Subtract 16 from 35 to get 19.

$$\frac{19}{40}-\frac{1}{10}$$

Least common multiple of 40 and 10 is 40. Convert \frac{19}{40} and \frac{1}{10} to fractions with denominator 40.

$$\frac{19}{40}-\frac{4}{40}$$

Since \frac{19}{40} and \frac{4}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-4}{40}$$

Subtract 4 from 19 to get 15.

$$\frac{15}{40}$$

Reduce the fraction \frac{15}{40} to lowest terms by extracting and canceling out 5.

$$\frac{3}{8}$$

Factor

$$\frac{3}{2 ^ {3}} = 0.375$$