Solve 31/2-53/6

$$\frac { 31 } { 2 } - \frac { 53 } { 6 }$$

Evaluate

$$\frac{20}{3}\approx 6.666666667$$

Solution Steps

Least common multiple of 2 and 6 is 6. Convert \frac{31}{2} and \frac{53}{6} to fractions with denominator 6.

$$\frac{93}{6}-\frac{53}{6}$$

Since \frac{93}{6} and \frac{53}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{93-53}{6}$$

Subtract 53 from 93 to get 40.

$$\frac{40}{6}$$

Reduce the fraction \frac{40}{6} to lowest terms by extracting and canceling out 2.

$$\frac{20}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{3} = 6\frac{2}{3} = 6.666666666666667$$