Solve 3*1+2{left(-1/2right)}^2*(1*(-1/2))

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

Evaluate

$$\frac{11}{4}=2.75$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

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

Multiply 3 and 1 to get 3.

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

Calculate -\frac{1}{2} to the power of 3 and get -\frac{1}{8}.

$$3+2\left(-\frac{1}{8}\right)\times 1$$

Express 2\left(-\frac{1}{8}\right) as a single fraction.

$$3+\frac{2\left(-1\right)}{8}\times 1$$

Multiply 2 and -1 to get -2.

$$3+\frac{-2}{8}\times 1$$

Reduce the fraction \frac{-2}{8} to lowest terms by extracting and canceling out 2.

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

Convert 3 to fraction \frac{12}{4}.

$$\frac{12}{4}-\frac{1}{4}$$

Since \frac{12}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-1}{4}$$

Subtract 1 from 12 to get 11.

$$\frac{11}{4}$$

Factor

$$\frac{11}{2 ^ {2}} = 2\frac{3}{4} = 2.75$$