Solve 5%+10%-1.1%=

$$5 \% +10 \% -1.1 \% =$$

Evaluate

$$0.139$$

Solution Steps

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

$$\frac{1}{20}+\frac{10}{100}-\frac{1.1}{100}$$

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$\frac{1}{20}+\frac{1}{10}-\frac{1.1}{100}$$

Least common multiple of 20 and 10 is 20. Convert \frac{1}{20} and \frac{1}{10} to fractions with denominator 20.

$$\frac{1}{20}+\frac{2}{20}-\frac{1.1}{100}$$

Since \frac{1}{20} and \frac{2}{20} have the same denominator, add them by adding their numerators.

$$\frac{1+2}{20}-\frac{1.1}{100}$$

Add 1 and 2 to get 3.

$$\frac{3}{20}-\frac{1.1}{100}$$

Expand \frac{1.1}{100} by multiplying both numerator and the denominator by 10.

$$\frac{3}{20}-\frac{11}{1000}$$

Least common multiple of 20 and 1000 is 1000. Convert \frac{3}{20} and \frac{11}{1000} to fractions with denominator 1000.

$$\frac{150}{1000}-\frac{11}{1000}$$

Since \frac{150}{1000} and \frac{11}{1000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{150-11}{1000}$$

Subtract 11 from 150 to get 139.

$$\frac{139}{1000}$$

Factor

$$\frac{139}{2 ^ {3} \cdot 5 ^ {3}} = 0.139$$