Solve 1/2-1/20.6826

$$\frac{ 1 }{ 2 } - \frac{ 1 }{ 2 } 0.6826$$

Evaluate

$$0.1587$$

Solution Steps

Convert decimal number 0.6826 to fraction \frac{6826}{10000}. Reduce the fraction \frac{6826}{10000} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}-\frac{1}{2}\times \frac{3413}{5000}$$

Multiply \frac{1}{2} times \frac{3413}{5000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{2}-\frac{1\times 3413}{2\times 5000}$$

Do the multiplications in the fraction \frac{1\times 3413}{2\times 5000}.

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

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

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

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

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

Subtract 3413 from 5000 to get 1587.

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

Factor

$$\frac{3 \cdot 23 ^ {2}}{2 ^ {4} \cdot 5 ^ {4}} = 0.1587$$