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

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

Evaluate

$$\frac{13}{12}\approx 1.083333333$$

Solution Steps

Least common multiple of 8 and 6 is 24. Convert \frac{7}{8} and \frac{5}{6} to fractions with denominator 24.

$$\frac{21}{24}+\frac{20}{24}-\frac{5}{8}$$

Since \frac{21}{24} and \frac{20}{24} have the same denominator, add them by adding their numerators.

$$\frac{21+20}{24}-\frac{5}{8}$$

Add 21 and 20 to get 41.

$$\frac{41}{24}-\frac{5}{8}$$

Least common multiple of 24 and 8 is 24. Convert \frac{41}{24} and \frac{5}{8} to fractions with denominator 24.

$$\frac{41}{24}-\frac{15}{24}$$

Since \frac{41}{24} and \frac{15}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{41-15}{24}$$

Subtract 15 from 41 to get 26.

$$\frac{26}{24}$$

Reduce the fraction \frac{26}{24} to lowest terms by extracting and canceling out 2.

$$\frac{13}{12}$$

Factor

$$\frac{13}{2 ^ {2} \cdot 3} = 1\frac{1}{12} = 1.0833333333333333$$