Solve 125/8-15/6

$$\frac{ 125 }{ 8 } - \frac{ 15 }{ 6 }$$

Evaluate

$$\frac{105}{8}=13.125$$

Solution Steps

Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.

$$\frac{125}{8}-\frac{5}{2}$$

Least common multiple of 8 and 2 is 8. Convert \frac{125}{8} and \frac{5}{2} to fractions with denominator 8.

$$\frac{125}{8}-\frac{20}{8}$$

Since \frac{125}{8} and \frac{20}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{125-20}{8}$$

Subtract 20 from 125 to get 105.

$$\frac{105}{8}$$

Factor

$$\frac{3 \cdot 5 \cdot 7}{2 ^ {3}} = 13\frac{1}{8} = 13.125$$