Solve 1/2+(2/3)^2*sqrt{1/4}-(4/5)^0=

$$\frac { 1 } { 2 } + ( \frac { 2 } { 3 } ) ^ { 2 } \times \sqrt { \frac { 1 } { 4 } } - ( \frac { 4 } { 5 } ) ^ { 0 } =$$

Evaluate

$$-\frac{5}{18}\approx -0.277777778$$

Solution Steps

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

$$\frac{1}{2}+\frac{4}{9}\sqrt{\frac{1}{4}}-\left(\frac{4}{5}\right)^{0}$$

Rewrite the square root of the division \frac{1}{4} as the division of square roots \frac{\sqrt{1}}{\sqrt{4}}. Take the square root of both numerator and denominator.

$$\frac{1}{2}+\frac{4}{9}\times \frac{1}{2}-\left(\frac{4}{5}\right)^{0}$$

Multiply \frac{4}{9} and \frac{1}{2} to get \frac{2}{9}.

$$\frac{1}{2}+\frac{2}{9}-\left(\frac{4}{5}\right)^{0}$$

Add \frac{1}{2} and \frac{2}{9} to get \frac{13}{18}.

$$\frac{13}{18}-\left(\frac{4}{5}\right)^{0}$$

Calculate \frac{4}{5} to the power of 0 and get 1.

$$\frac{13}{18}-1$$

Subtract 1 from \frac{13}{18} to get -\frac{5}{18}.

$$-\frac{5}{18}$$

Factor

$$-\frac{5}{18} = -0.2777777777777778$$