Solve 14/6-15/8

$$\frac { 14 } { 6 } - \frac { 15 } { 8 }$$

Evaluate

$$\frac{11}{24}\approx 0.458333333$$

Solution Steps

Reduce the fraction \frac{14}{6} to lowest terms by extracting and canceling out 2.

$$\frac{7}{3}-\frac{15}{8}$$

Least common multiple of 3 and 8 is 24. Convert \frac{7}{3} and \frac{15}{8} to fractions with denominator 24.

$$\frac{56}{24}-\frac{45}{24}$$

Since \frac{56}{24} and \frac{45}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{56-45}{24}$$

Subtract 45 from 56 to get 11.

$$\frac{11}{24}$$

Factor

$$\frac{11}{2 ^ {3} \cdot 3} = 0.4583333333333333$$