Solve 442.5-2%

$$442.5-2 \%$$

Evaluate

$$442.48$$

Solution Steps

Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$442.5-\frac{1}{50}$$

Convert decimal number 442.5 to fraction \frac{4425}{10}. Reduce the fraction \frac{4425}{10} to lowest terms by extracting and canceling out 5.

$$\frac{885}{2}-\frac{1}{50}$$

Least common multiple of 2 and 50 is 50. Convert \frac{885}{2} and \frac{1}{50} to fractions with denominator 50.

$$\frac{22125}{50}-\frac{1}{50}$$

Since \frac{22125}{50} and \frac{1}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{22125-1}{50}$$

Subtract 1 from 22125 to get 22124.

$$\frac{22124}{50}$$

Reduce the fraction \frac{22124}{50} to lowest terms by extracting and canceling out 2.

$$\frac{11062}{25}$$

Factor

$$\frac{2 \cdot 5531}{5 ^ {2}} = 442\frac{12}{25} = 442.48$$