Solve 11/2*(-2/3)-(-4/15)div2/3

$$1 \frac { 1 } { 2 } \times ( - \frac { 2 } { 3 } ) - ( - \frac { 4 } { 15 } ) \div \frac { 2 } { 3 }$$

Evaluate

$$-\frac{3}{5}=-0.6$$

Solution Steps

Multiply 1 and 2 to get 2.

$$\frac{2+1}{2}\left(-\frac{2}{3}\right)-\frac{-\frac{4}{15}}{\frac{2}{3}}$$

Add 2 and 1 to get 3.

$$\frac{3}{2}\left(-\frac{2}{3}\right)-\frac{-\frac{4}{15}}{\frac{2}{3}}$$

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

$$\frac{3\left(-2\right)}{2\times 3}-\frac{-\frac{4}{15}}{\frac{2}{3}}$$

Cancel out 3 in both numerator and denominator.

$$\frac{-2}{2}-\frac{-\frac{4}{15}}{\frac{2}{3}}$$

Divide -2 by 2 to get -1.

$$-1-\frac{-\frac{4}{15}}{\frac{2}{3}}$$

Divide -\frac{4}{15} by \frac{2}{3} by multiplying -\frac{4}{15} by the reciprocal of \frac{2}{3}.

$$-1-\left(-\frac{4}{15}\times \frac{3}{2}\right)$$

Multiply -\frac{4}{15} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$-1-\frac{-4\times 3}{15\times 2}$$

Do the multiplications in the fraction \frac{-4\times 3}{15\times 2}.

$$-1-\frac{-12}{30}$$

Reduce the fraction \frac{-12}{30} to lowest terms by extracting and canceling out 6.

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

The opposite of -\frac{2}{5} is \frac{2}{5}.

$$-1+\frac{2}{5}$$

Convert -1 to fraction -\frac{5}{5}.

$$-\frac{5}{5}+\frac{2}{5}$$

Since -\frac{5}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$\frac{-5+2}{5}$$

Add -5 and 2 to get -3.

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

Factor

$$-\frac{3}{5} = -0.6$$