Solve 3/4+2/3-5/8

$$\frac { 3 } { 4 } + \frac { 2 } { 3 } - \frac { 5 } { 8 }$$

Evaluate

$$\frac{19}{24}\approx 0.791666667$$

Solution Steps

Least common multiple of 4 and 3 is 12. Convert \frac{3}{4} and \frac{2}{3} to fractions with denominator 12.

$$\frac{9}{12}+\frac{8}{12}-\frac{5}{8}$$

Since \frac{9}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+8}{12}-\frac{5}{8}$$

Add 9 and 8 to get 17.

$$\frac{17}{12}-\frac{5}{8}$$

Least common multiple of 12 and 8 is 24. Convert \frac{17}{12} and \frac{5}{8} to fractions with denominator 24.

$$\frac{34}{24}-\frac{15}{24}$$

Since \frac{34}{24} and \frac{15}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{34-15}{24}$$

Subtract 15 from 34 to get 19.

$$\frac{19}{24}$$

Factor

$$\frac{19}{2 ^ {3} \cdot 3} = 0.7916666666666666$$