Solve 11/5*(-2/3)-12/3div(-22/9)

$$1 \frac { 1 } { 5 } \times ( - \frac { 2 } { 3 } ) - 1 \frac { 2 } { 3 } \div ( - 2 \frac { 2 } { 9 } )$$

Evaluate

$$-\frac{1}{20}=-0.05$$

Solution Steps

Multiply 1 and 5 to get 5.

$$\frac{5+1}{5}\left(-\frac{2}{3}\right)-\frac{\frac{1\times 3+2}{3}}{-\frac{2\times 9+2}{9}}$$

Add 5 and 1 to get 6.

$$\frac{6}{5}\left(-\frac{2}{3}\right)-\frac{\frac{1\times 3+2}{3}}{-\frac{2\times 9+2}{9}}$$

Multiply \frac{6}{5} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\left(-2\right)}{5\times 3}-\frac{\frac{1\times 3+2}{3}}{-\frac{2\times 9+2}{9}}$$

Do the multiplications in the fraction \frac{6\left(-2\right)}{5\times 3}.

$$\frac{-12}{15}-\frac{\frac{1\times 3+2}{3}}{-\frac{2\times 9+2}{9}}$$

Reduce the fraction \frac{-12}{15} to lowest terms by extracting and canceling out 3.

$$-\frac{4}{5}-\frac{\frac{1\times 3+2}{3}}{-\frac{2\times 9+2}{9}}$$

Multiply 1 and 3 to get 3.

$$-\frac{4}{5}-\frac{\frac{3+2}{3}}{-\frac{2\times 9+2}{9}}$$

Add 3 and 2 to get 5.

$$-\frac{4}{5}-\frac{\frac{5}{3}}{-\frac{2\times 9+2}{9}}$$

Multiply 2 and 9 to get 18.

$$-\frac{4}{5}-\frac{\frac{5}{3}}{-\frac{18+2}{9}}$$

Add 18 and 2 to get 20.

$$-\frac{4}{5}-\frac{\frac{5}{3}}{-\frac{20}{9}}$$

Divide \frac{5}{3} by -\frac{20}{9} by multiplying \frac{5}{3} by the reciprocal of -\frac{20}{9}.

$$-\frac{4}{5}-\frac{5}{3}\left(-\frac{9}{20}\right)$$

Multiply \frac{5}{3} times -\frac{9}{20} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{4}{5}-\frac{5\left(-9\right)}{3\times 20}$$

Do the multiplications in the fraction \frac{5\left(-9\right)}{3\times 20}.

$$-\frac{4}{5}-\frac{-45}{60}$$

Reduce the fraction \frac{-45}{60} to lowest terms by extracting and canceling out 15.

$$-\frac{4}{5}-\left(-\frac{3}{4}\right)$$

The opposite of -\frac{3}{4} is \frac{3}{4}.

$$-\frac{4}{5}+\frac{3}{4}$$

Least common multiple of 5 and 4 is 20. Convert -\frac{4}{5} and \frac{3}{4} to fractions with denominator 20.

$$-\frac{16}{20}+\frac{15}{20}$$

Since -\frac{16}{20} and \frac{15}{20} have the same denominator, add them by adding their numerators.

$$\frac{-16+15}{20}$$

Add -16 and 15 to get -1.

$$-\frac{1}{20}$$

Factor

$$-\frac{1}{20} = -0.05$$