Solve 3/5-(7/8-2/5)

$$\frac { 3 } { 5 } - ( \frac { 7 } { 8 } - \frac { 2 } { 5 } )$$

Evaluate

$$\frac{1}{8}=0.125$$

Solution Steps

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

$$\frac{3}{5}-\left(\frac{35}{40}-\frac{16}{40}\right)$$

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

$$\frac{3}{5}-\frac{35-16}{40}$$

Subtract 16 from 35 to get 19.

$$\frac{3}{5}-\frac{19}{40}$$

Least common multiple of 5 and 40 is 40. Convert \frac{3}{5} and \frac{19}{40} to fractions with denominator 40.

$$\frac{24}{40}-\frac{19}{40}$$

Since \frac{24}{40} and \frac{19}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{24-19}{40}$$

Subtract 19 from 24 to get 5.

$$\frac{5}{40}$$

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

$$\frac{1}{8}$$

Factor

$$\frac{1}{2 ^ {3}} = 0.125$$