Solve -2/7+1/3*6/11

$$\frac { - 2 } { 7 } + \frac { 1 } { 3 } \times \frac { 6 } { 11 }$$

Evaluate

$$-\frac{8}{77}\approx -0.103896104$$

Solution Steps

Fraction \frac{-2}{7} can be rewritten as -\frac{2}{7} by extracting the negative sign.

$$-\frac{2}{7}+\frac{1}{3}\times \frac{6}{11}$$

Multiply \frac{1}{3} times \frac{6}{11} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{2}{7}+\frac{1\times 6}{3\times 11}$$

Do the multiplications in the fraction \frac{1\times 6}{3\times 11}.

$$-\frac{2}{7}+\frac{6}{33}$$

Reduce the fraction \frac{6}{33} to lowest terms by extracting and canceling out 3.

$$-\frac{2}{7}+\frac{2}{11}$$

Least common multiple of 7 and 11 is 77. Convert -\frac{2}{7} and \frac{2}{11} to fractions with denominator 77.

$$-\frac{22}{77}+\frac{14}{77}$$

Since -\frac{22}{77} and \frac{14}{77} have the same denominator, add them by adding their numerators.

$$\frac{-22+14}{77}$$

Add -22 and 14 to get -8.

$$-\frac{8}{77}$$

Factor

$$-\frac{8}{77} = -0.1038961038961039$$