Solve 0.6826div2-+0.5

$$0.6826 \div 2-+0.5$$

Evaluate

$$-0.1587$$

Solution Steps

Expand \frac{0.6826}{2} by multiplying both numerator and the denominator by 10000.

$$\frac{6826}{20000}-0.5$$

Reduce the fraction \frac{6826}{20000} to lowest terms by extracting and canceling out 2.

$$\frac{3413}{10000}-0.5$$

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.

$$\frac{3413}{10000}-\frac{1}{2}$$

Least common multiple of 10000 and 2 is 10000. Convert \frac{3413}{10000} and \frac{1}{2} to fractions with denominator 10000.

$$\frac{3413}{10000}-\frac{5000}{10000}$$

Since \frac{3413}{10000} and \frac{5000}{10000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3413-5000}{10000}$$

Subtract 5000 from 3413 to get -1587.

$$-\frac{1587}{10000}$$

Factor

$$-0.1587$$