Solve 22/2div(-12/2)-(-1/2)*(-2/3)^2

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

Evaluate

$$-\frac{23}{18}\approx -1.277777778$$

Solution Steps

Multiply 2 and 2 to get 4.

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

Add 4 and 2 to get 6.

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

Divide 6 by 2 to get 3.

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

Multiply 1 and 2 to get 2.

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

Add 2 and 2 to get 4.

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

Divide 4 by 2 to get 2.

$$\frac{3}{-2}-\left(-\frac{1}{2}\left(-\frac{2}{3}\right)^{2}\right)$$

Fraction \frac{3}{-2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

$$-\frac{3}{2}-\left(-\frac{1}{2}\left(-\frac{2}{3}\right)^{2}\right)$$

Calculate -\frac{2}{3} to the power of 2 and get \frac{4}{9}.

$$-\frac{3}{2}-\left(-\frac{1}{2}\times \frac{4}{9}\right)$$

Multiply -\frac{1}{2} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{-4}{2\times 9}.

$$-\frac{3}{2}-\frac{-4}{18}$$

Reduce the fraction \frac{-4}{18} to lowest terms by extracting and canceling out 2.

$$-\frac{3}{2}-\left(-\frac{2}{9}\right)$$

The opposite of -\frac{2}{9} is \frac{2}{9}.

$$-\frac{3}{2}+\frac{2}{9}$$

Least common multiple of 2 and 9 is 18. Convert -\frac{3}{2} and \frac{2}{9} to fractions with denominator 18.

$$-\frac{27}{18}+\frac{4}{18}$$

Since -\frac{27}{18} and \frac{4}{18} have the same denominator, add them by adding their numerators.

$$\frac{-27+4}{18}$$

Add -27 and 4 to get -23.

$$-\frac{23}{18}$$

Factor

$$-\frac{23}{18} = -1\frac{5}{18} = -1.2777777777777777$$