Solve 33/100-1/25-21/50-21/100

$$\frac{ 33 }{ 100 } - \frac{ 1 }{ 25 } - \frac{ 21 }{ 50 } - \frac{ 21 }{ 100 }$$

Evaluate

$$-\frac{17}{50}=-0.34$$

Solution Steps

Least common multiple of 100 and 25 is 100. Convert \frac{33}{100} and \frac{1}{25} to fractions with denominator 100.

$$\frac{33}{100}-\frac{4}{100}-\frac{21}{50}-\frac{21}{100}$$

Since \frac{33}{100} and \frac{4}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-4}{100}-\frac{21}{50}-\frac{21}{100}$$

Subtract 4 from 33 to get 29.

$$\frac{29}{100}-\frac{21}{50}-\frac{21}{100}$$

Least common multiple of 100 and 50 is 100. Convert \frac{29}{100} and \frac{21}{50} to fractions with denominator 100.

$$\frac{29}{100}-\frac{42}{100}-\frac{21}{100}$$

Since \frac{29}{100} and \frac{42}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{29-42}{100}-\frac{21}{100}$$

Subtract 42 from 29 to get -13.

$$-\frac{13}{100}-\frac{21}{100}$$

Since -\frac{13}{100} and \frac{21}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-13-21}{100}$$

Subtract 21 from -13 to get -34.

$$\frac{-34}{100}$$

Reduce the fraction \frac{-34}{100} to lowest terms by extracting and canceling out 2.

$$-\frac{17}{50}$$

Factor

$$-\frac{17}{50} = -0.34$$