Solve 0,1(1/2)^2-0,5(1/2)+0,2

$$0,1 ( \frac { 1 } { 2 } ) ^ { 2 } - 0,5 ( \frac { 1 } { 2 } ) + 0,2$$

Evaluate

$$-0,025$$

Solution Steps

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

$$0,1\times \frac{1}{4}-0,5\times \frac{1}{2}+0,2$$

Convert decimal number 0,1 to fraction \frac{1}{10}.

$$\frac{1}{10}\times \frac{1}{4}-0,5\times \frac{1}{2}+0,2$$

Multiply \frac{1}{10} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{10\times 4}-0,5\times \frac{1}{2}+0,2$$

Do the multiplications in the fraction \frac{1\times 1}{10\times 4}.

$$\frac{1}{40}-0,5\times \frac{1}{2}+0,2$$

Convert decimal number 0,5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{40}-\frac{1}{2}\times \frac{1}{2}+0,2$$

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

$$\frac{1}{40}-\frac{1\times 1}{2\times 2}+0,2$$

Do the multiplications in the fraction \frac{1\times 1}{2\times 2}.

$$\frac{1}{40}-\frac{1}{4}+0,2$$

Least common multiple of 40 and 4 is 40. Convert \frac{1}{40} and \frac{1}{4} to fractions with denominator 40.

$$\frac{1}{40}-\frac{10}{40}+0,2$$

Since \frac{1}{40} and \frac{10}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-10}{40}+0,2$$

Subtract 10 from 1 to get -9.

$$-\frac{9}{40}+0,2$$

Convert decimal number 0,2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{9}{40}+\frac{1}{5}$$

Least common multiple of 40 and 5 is 40. Convert -\frac{9}{40} and \frac{1}{5} to fractions with denominator 40.

$$-\frac{9}{40}+\frac{8}{40}$$

Since -\frac{9}{40} and \frac{8}{40} have the same denominator, add them by adding their numerators.

$$\frac{-9+8}{40}$$

Add -9 and 8 to get -1.

$$-\frac{1}{40}$$

Factor

$$-0,025$$