Solve 5/8+3/20+-1/15

$$\frac { 5 } { 8 } + \frac { 3 } { 20 } + \frac { - 1 } { 15 }$$

Evaluate

$$\frac{17}{24}\approx 0.708333333$$

Solution Steps

Least common multiple of 8 and 20 is 40. Convert \frac{5}{8} and \frac{3}{20} to fractions with denominator 40.

$$\frac{25}{40}+\frac{6}{40}+\frac{-1}{15}$$

Since \frac{25}{40} and \frac{6}{40} have the same denominator, add them by adding their numerators.

$$\frac{25+6}{40}+\frac{-1}{15}$$

Add 25 and 6 to get 31.

$$\frac{31}{40}+\frac{-1}{15}$$

Fraction \frac{-1}{15} can be rewritten as -\frac{1}{15} by extracting the negative sign.

$$\frac{31}{40}-\frac{1}{15}$$

Least common multiple of 40 and 15 is 120. Convert \frac{31}{40} and \frac{1}{15} to fractions with denominator 120.

$$\frac{93}{120}-\frac{8}{120}$$

Since \frac{93}{120} and \frac{8}{120} have the same denominator, subtract them by subtracting their numerators.

$$\frac{93-8}{120}$$

Subtract 8 from 93 to get 85.

$$\frac{85}{120}$$

Reduce the fraction \frac{85}{120} to lowest terms by extracting and canceling out 5.

$$\frac{17}{24}$$

Factor

$$\frac{17}{2 ^ {3} \cdot 3} = 0.7083333333333334$$