Solve 100*45%-19.2%-4%-100

$$100 \times 45 \% -19.2 \% -4 \% -100$$

Evaluate

$$-55.232$$

Solution Steps

Reduce the fraction \frac{45}{100} to lowest terms by extracting and canceling out 5.

$$100\times \frac{9}{20}-\frac{19.2}{100}-\frac{4}{100}-100$$

Express 100\times \frac{9}{20} as a single fraction.

$$\frac{100\times 9}{20}-\frac{19.2}{100}-\frac{4}{100}-100$$

Multiply 100 and 9 to get 900.

$$\frac{900}{20}-\frac{19.2}{100}-\frac{4}{100}-100$$

Divide 900 by 20 to get 45.

$$45-\frac{19.2}{100}-\frac{4}{100}-100$$

Expand \frac{19.2}{100} by multiplying both numerator and the denominator by 10.

$$45-\frac{192}{1000}-\frac{4}{100}-100$$

Reduce the fraction \frac{192}{1000} to lowest terms by extracting and canceling out 8.

$$45-\frac{24}{125}-\frac{4}{100}-100$$

Convert 45 to fraction \frac{5625}{125}.

$$\frac{5625}{125}-\frac{24}{125}-\frac{4}{100}-100$$

Since \frac{5625}{125} and \frac{24}{125} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5625-24}{125}-\frac{4}{100}-100$$

Subtract 24 from 5625 to get 5601.

$$\frac{5601}{125}-\frac{4}{100}-100$$

Reduce the fraction \frac{4}{100} to lowest terms by extracting and canceling out 4.

$$\frac{5601}{125}-\frac{1}{25}-100$$

Least common multiple of 125 and 25 is 125. Convert \frac{5601}{125} and \frac{1}{25} to fractions with denominator 125.

$$\frac{5601}{125}-\frac{5}{125}-100$$

Since \frac{5601}{125} and \frac{5}{125} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5601-5}{125}-100$$

Subtract 5 from 5601 to get 5596.

$$\frac{5596}{125}-100$$

Convert 100 to fraction \frac{12500}{125}.

$$\frac{5596}{125}-\frac{12500}{125}$$

Since \frac{5596}{125} and \frac{12500}{125} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5596-12500}{125}$$

Subtract 12500 from 5596 to get -6904.

$$-\frac{6904}{125}$$

Factor

$$-55.232$$