Solve 25/24-7/8

$$\frac { 25 } { 24 } - \frac { 7 } { 8 }$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Least common multiple of 24 and 8 is 24. Convert \frac{25}{24} and \frac{7}{8} to fractions with denominator 24.

$$\frac{25}{24}-\frac{21}{24}$$

Since \frac{25}{24} and \frac{21}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-21}{24}$$

Subtract 21 from 25 to get 4.

$$\frac{4}{24}$$

Reduce the fraction \frac{4}{24} to lowest terms by extracting and canceling out 4.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$