Solve 3/5-1/4+3/8

$$\frac { 3 } { 5 } - \frac { 1 } { 4 } + \frac { 3 } { 8 }$$

Evaluate

$$\frac{29}{40}=0.725$$

Solution Steps

Least common multiple of 5 and 4 is 20. Convert \frac{3}{5} and \frac{1}{4} to fractions with denominator 20.

$$\frac{12}{20}-\frac{5}{20}+\frac{3}{8}$$

Since \frac{12}{20} and \frac{5}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-5}{20}+\frac{3}{8}$$

Subtract 5 from 12 to get 7.

$$\frac{7}{20}+\frac{3}{8}$$

Least common multiple of 20 and 8 is 40. Convert \frac{7}{20} and \frac{3}{8} to fractions with denominator 40.

$$\frac{14}{40}+\frac{15}{40}$$

Since \frac{14}{40} and \frac{15}{40} have the same denominator, add them by adding their numerators.

$$\frac{14+15}{40}$$

Add 14 and 15 to get 29.

$$\frac{29}{40}$$

Factor

$$\frac{29}{2 ^ {3} \cdot 5} = 0.725$$