Solve 1-17.945%-29.36%-2.447%

$$1-17.945 \% -29.36 \% -2.447 \%$$

Evaluate

$$0.50248$$

Solution Steps

Expand \frac{17.945}{100} by multiplying both numerator and the denominator by 1000.

$$1-\frac{17945}{100000}-\frac{29.36}{100}-\frac{2.447}{100}$$

Reduce the fraction \frac{17945}{100000} to lowest terms by extracting and canceling out 5.

$$1-\frac{3589}{20000}-\frac{29.36}{100}-\frac{2.447}{100}$$

Convert 1 to fraction \frac{20000}{20000}.

$$\frac{20000}{20000}-\frac{3589}{20000}-\frac{29.36}{100}-\frac{2.447}{100}$$

Since \frac{20000}{20000} and \frac{3589}{20000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20000-3589}{20000}-\frac{29.36}{100}-\frac{2.447}{100}$$

Subtract 3589 from 20000 to get 16411.

$$\frac{16411}{20000}-\frac{29.36}{100}-\frac{2.447}{100}$$

Expand \frac{29.36}{100} by multiplying both numerator and the denominator by 100.

$$\frac{16411}{20000}-\frac{2936}{10000}-\frac{2.447}{100}$$

Reduce the fraction \frac{2936}{10000} to lowest terms by extracting and canceling out 8.

$$\frac{16411}{20000}-\frac{367}{1250}-\frac{2.447}{100}$$

Least common multiple of 20000 and 1250 is 20000. Convert \frac{16411}{20000} and \frac{367}{1250} to fractions with denominator 20000.

$$\frac{16411}{20000}-\frac{5872}{20000}-\frac{2.447}{100}$$

Since \frac{16411}{20000} and \frac{5872}{20000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16411-5872}{20000}-\frac{2.447}{100}$$

Subtract 5872 from 16411 to get 10539.

$$\frac{10539}{20000}-\frac{2.447}{100}$$

Expand \frac{2.447}{100} by multiplying both numerator and the denominator by 1000.

$$\frac{10539}{20000}-\frac{2447}{100000}$$

Least common multiple of 20000 and 100000 is 100000. Convert \frac{10539}{20000} and \frac{2447}{100000} to fractions with denominator 100000.

$$\frac{52695}{100000}-\frac{2447}{100000}$$

Since \frac{52695}{100000} and \frac{2447}{100000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{52695-2447}{100000}$$

Subtract 2447 from 52695 to get 50248.

$$\frac{50248}{100000}$$

Reduce the fraction \frac{50248}{100000} to lowest terms by extracting and canceling out 8.

$$\frac{6281}{12500}$$

Factor

$$\frac{11 \cdot 571}{2 ^ {2} \cdot 5 ^ {5}} = 0.50248$$