Solve 6/7+(-9/14-6/7)

$$\frac { 6 } { 7 } + ( - \frac { 9 } { 14 } - \frac { 6 } { 7 } )$$

Evaluate

$$-\frac{9}{14}\approx -0.642857143$$

Solution Steps

Least common multiple of 7 and 14 is 14. Convert \frac{6}{7} and \frac{9}{14} to fractions with denominator 14.

$$\frac{12}{14}-\frac{9}{14}-\frac{6}{7}$$

Since \frac{12}{14} and \frac{9}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-9}{14}-\frac{6}{7}$$

Subtract 9 from 12 to get 3.

$$\frac{3}{14}-\frac{6}{7}$$

Least common multiple of 14 and 7 is 14. Convert \frac{3}{14} and \frac{6}{7} to fractions with denominator 14.

$$\frac{3}{14}-\frac{12}{14}$$

Since \frac{3}{14} and \frac{12}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-12}{14}$$

Subtract 12 from 3 to get -9.

$$-\frac{9}{14}$$

Factor

$$-\frac{9}{14} = -0.6428571428571429$$