Solve 6/7-(2/5+8/15)

$$\frac { 6 } { 7 } - ( \frac { 2 } { 5 } + \frac { 8 } { 15 } )$$

Evaluate

$$-\frac{8}{105}\approx -0.076190476$$

Solution Steps

Least common multiple of 5 and 15 is 15. Convert \frac{2}{5} and \frac{8}{15} to fractions with denominator 15.

$$\frac{6}{7}-\left(\frac{6}{15}+\frac{8}{15}\right)$$

Since \frac{6}{15} and \frac{8}{15} have the same denominator, add them by adding their numerators.

$$\frac{6}{7}-\frac{6+8}{15}$$

Add 6 and 8 to get 14.

$$\frac{6}{7}-\frac{14}{15}$$

Least common multiple of 7 and 15 is 105. Convert \frac{6}{7} and \frac{14}{15} to fractions with denominator 105.

$$\frac{90}{105}-\frac{98}{105}$$

Since \frac{90}{105} and \frac{98}{105} have the same denominator, subtract them by subtracting their numerators.

$$\frac{90-98}{105}$$

Subtract 98 from 90 to get -8.

$$-\frac{8}{105}$$

Factor

$$-\frac{8}{105} = -0.0761904761904762$$