Solve -18/5div27/5-6/-11

$$- \frac { 18 } { 5 } \div \frac { 27 } { 5 } - \frac { 6 } { - 11 }$$

Evaluate

$$-\frac{4}{33}\approx -0.121212121$$

Solution Steps

Divide -\frac{18}{5} by \frac{27}{5} by multiplying -\frac{18}{5} by the reciprocal of \frac{27}{5}.

$$-\frac{18}{5}\times \frac{5}{27}-\frac{6}{-11}$$

Multiply -\frac{18}{5} times \frac{5}{27} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-18\times 5}{5\times 27}-\frac{6}{-11}$$

Cancel out 5 in both numerator and denominator.

$$\frac{-18}{27}-\frac{6}{-11}$$

Reduce the fraction \frac{-18}{27} to lowest terms by extracting and canceling out 9.

$$-\frac{2}{3}-\frac{6}{-11}$$

Fraction \frac{6}{-11} can be rewritten as -\frac{6}{11} by extracting the negative sign.

$$-\frac{2}{3}-\left(-\frac{6}{11}\right)$$

The opposite of -\frac{6}{11} is \frac{6}{11}.

$$-\frac{2}{3}+\frac{6}{11}$$

Least common multiple of 3 and 11 is 33. Convert -\frac{2}{3} and \frac{6}{11} to fractions with denominator 33.

$$-\frac{22}{33}+\frac{18}{33}$$

Since -\frac{22}{33} and \frac{18}{33} have the same denominator, add them by adding their numerators.

$$\frac{-22+18}{33}$$

Add -22 and 18 to get -4.

$$-\frac{4}{33}$$

Factor

$$-\frac{4}{33} = -0.12121212121212122$$