Solve 171/14-11/2

$$\frac { 171 } { 14 } - \frac { 11 } { 2 }$$

Evaluate

$$\frac{47}{7}\approx 6.714285714$$

Solution Steps

Least common multiple of 14 and 2 is 14. Convert \frac{171}{14} and \frac{11}{2} to fractions with denominator 14.

$$\frac{171}{14}-\frac{77}{14}$$

Since \frac{171}{14} and \frac{77}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{171-77}{14}$$

Subtract 77 from 171 to get 94.

$$\frac{94}{14}$$

Reduce the fraction \frac{94}{14} to lowest terms by extracting and canceling out 2.

$$\frac{47}{7}$$

Factor

$$\frac{47}{7} = 6\frac{5}{7} = 6.714285714285714$$