Solve -4*(-2)*1/2+5*{left(1/2right)}^2

$$-4 \times (-2) \times \frac{ 1 }{ 2 } +5 \times { \left( \frac{ 1 }{ 2 } \right) }^{ 2 }$$

Evaluate

$$\frac{21}{4}=5.25$$

Solution Steps

Multiply -4 and -2 to get 8.

$$8\times \frac{1}{2}+5\times \left(\frac{1}{2}\right)^{2}$$

Multiply 8 and \frac{1}{2} to get \frac{8}{2}.

$$\frac{8}{2}+5\times \left(\frac{1}{2}\right)^{2}$$

Divide 8 by 2 to get 4.

$$4+5\times \left(\frac{1}{2}\right)^{2}$$

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

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

Multiply 5 and \frac{1}{4} to get \frac{5}{4}.

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

Convert 4 to fraction \frac{16}{4}.

$$\frac{16}{4}+\frac{5}{4}$$

Since \frac{16}{4} and \frac{5}{4} have the same denominator, add them by adding their numerators.

$$\frac{16+5}{4}$$

Add 16 and 5 to get 21.

$$\frac{21}{4}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {2}} = 5\frac{1}{4} = 5.25$$