Solve (-2)^2+(-11/2)*2/3

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

Evaluate

$$3$$

Solution Steps

Calculate -2 to the power of 2 and get 4.

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

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

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

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

Cancel out 2 in both numerator and denominator.

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

Divide -3 by 3 to get -1.

$$4-1$$

Subtract 1 from 4 to get 3.

$$3$$

Factor

$$3$$