Solve 6/4-5/8

$$\frac{ 6 }{ 4 } - \frac{ 5 }{ 8 }$$

Evaluate

$$\frac{7}{8}=0.875$$

Solution Steps

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

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

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

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

Since \frac{12}{8} and \frac{5}{8} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 5 from 12 to get 7.

$$\frac{7}{8}$$

Factor

$$\frac{7}{2 ^ {3}} = 0.875$$