Solve 11/5*(-2/3)+11/5=

$$1 \frac { 1 } { 5 } \times ( - \frac { 2 } { 3 } ) + 1 \frac { 1 } { 5 } =$$

Evaluate

$$\frac{2}{5}=0.4$$

Solution Steps

Multiply 1 and 5 to get 5.

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

Add 5 and 1 to get 6.

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

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

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

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

$$\frac{-12}{15}+\frac{1\times 5+1}{5}$$

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

$$-\frac{4}{5}+\frac{1\times 5+1}{5}$$

Multiply 1 and 5 to get 5.

$$-\frac{4}{5}+\frac{5+1}{5}$$

Add 5 and 1 to get 6.

$$-\frac{4}{5}+\frac{6}{5}$$

Since -\frac{4}{5} and \frac{6}{5} have the same denominator, add them by adding their numerators.

$$\frac{-4+6}{5}$$

Add -4 and 6 to get 2.

$$\frac{2}{5}$$

Factor

$$\frac{2}{5} = 0.4$$