Solve 2/3-5/8+7/6

$$\frac { 2 } { 3 } - \frac { 5 } { 8 } + \frac { 7 } { 6 }$$

Evaluate

$$\frac{29}{24}\approx 1.208333333$$

Solution Steps

Least common multiple of 3 and 8 is 24. Convert \frac{2}{3} and \frac{5}{8} to fractions with denominator 24.

$$\frac{16}{24}-\frac{15}{24}+\frac{7}{6}$$

Since \frac{16}{24} and \frac{15}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-15}{24}+\frac{7}{6}$$

Subtract 15 from 16 to get 1.

$$\frac{1}{24}+\frac{7}{6}$$

Least common multiple of 24 and 6 is 24. Convert \frac{1}{24} and \frac{7}{6} to fractions with denominator 24.

$$\frac{1}{24}+\frac{28}{24}$$

Since \frac{1}{24} and \frac{28}{24} have the same denominator, add them by adding their numerators.

$$\frac{1+28}{24}$$

Add 1 and 28 to get 29.

$$\frac{29}{24}$$

Factor

$$\frac{29}{2 ^ {3} \cdot 3} = 1\frac{5}{24} = 1.2083333333333333$$