Solve 0.6826div2+0.5-1

$$0.6826 \div 2+0.5-1$$

Evaluate

$$-0.1587$$

Solution Steps

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

$$\frac{6826}{20000}+0.5-1$$

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

$$\frac{3413}{10000}+0.5-1$$

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.

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

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

$$\frac{3413}{10000}+\frac{5000}{10000}-1$$

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

$$\frac{3413+5000}{10000}-1$$

Add 3413 and 5000 to get 8413.

$$\frac{8413}{10000}-1$$

Convert 1 to fraction \frac{10000}{10000}.

$$\frac{8413}{10000}-\frac{10000}{10000}$$

Since \frac{8413}{10000} and \frac{10000}{10000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8413-10000}{10000}$$

Subtract 10000 from 8413 to get -1587.

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

Factor

$$-0.1587$$