Solve 17/14-(1/2+3/7)

$$\frac { 17 } { 14 } - ( \frac { 1 } { 2 } + \frac { 3 } { 7 } )$$

Evaluate

$$\frac{2}{7}\approx 0.285714286$$

Solution Steps

Least common multiple of 2 and 7 is 14. Convert \frac{1}{2} and \frac{3}{7} to fractions with denominator 14.

$$\frac{17}{14}-\left(\frac{7}{14}+\frac{6}{14}\right)$$

Since \frac{7}{14} and \frac{6}{14} have the same denominator, add them by adding their numerators.

$$\frac{17}{14}-\frac{7+6}{14}$$

Add 7 and 6 to get 13.

$$\frac{17}{14}-\frac{13}{14}$$

Since \frac{17}{14} and \frac{13}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17-13}{14}$$

Subtract 13 from 17 to get 4.

$$\frac{4}{14}$$

Reduce the fraction \frac{4}{14} to lowest terms by extracting and canceling out 2.

$$\frac{2}{7}$$

Factor

$$\frac{2}{7} = 0.2857142857142857$$