Solve 5/8-3/10+1/4

$$\frac { 5 } { 8 } - \frac { 3 } { 10 } + \frac { 1 } { 4 }$$

Evaluate

$$\frac{23}{40}=0.575$$

Solution Steps

Least common multiple of 8 and 10 is 40. Convert \frac{5}{8} and \frac{3}{10} to fractions with denominator 40.

$$\frac{25}{40}-\frac{12}{40}+\frac{1}{4}$$

Since \frac{25}{40} and \frac{12}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-12}{40}+\frac{1}{4}$$

Subtract 12 from 25 to get 13.

$$\frac{13}{40}+\frac{1}{4}$$

Least common multiple of 40 and 4 is 40. Convert \frac{13}{40} and \frac{1}{4} to fractions with denominator 40.

$$\frac{13}{40}+\frac{10}{40}$$

Since \frac{13}{40} and \frac{10}{40} have the same denominator, add them by adding their numerators.

$$\frac{13+10}{40}$$

Add 13 and 10 to get 23.

$$\frac{23}{40}$$

Factor

$$\frac{23}{2 ^ {3} \cdot 5} = 0.575$$