Solve 1/10+1/5+3/100-100

$$\frac{ 1 }{ 10 } + \frac{ 1 }{ 5 } + \frac{ 3 }{ 100 } -100$$

Evaluate

$$-\frac{9967}{100}=-99.67$$

Solution Steps

Least common multiple of 10 and 5 is 10. Convert \frac{1}{10} and \frac{1}{5} to fractions with denominator 10.

$$\frac{1}{10}+\frac{2}{10}+\frac{3}{100}-100$$

Since \frac{1}{10} and \frac{2}{10} have the same denominator, add them by adding their numerators.

$$\frac{1+2}{10}+\frac{3}{100}-100$$

Add 1 and 2 to get 3.

$$\frac{3}{10}+\frac{3}{100}-100$$

Least common multiple of 10 and 100 is 100. Convert \frac{3}{10} and \frac{3}{100} to fractions with denominator 100.

$$\frac{30}{100}+\frac{3}{100}-100$$

Since \frac{30}{100} and \frac{3}{100} have the same denominator, add them by adding their numerators.

$$\frac{30+3}{100}-100$$

Add 30 and 3 to get 33.

$$\frac{33}{100}-100$$

Convert 100 to fraction \frac{10000}{100}.

$$\frac{33}{100}-\frac{10000}{100}$$

Since \frac{33}{100} and \frac{10000}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-10000}{100}$$

Subtract 10000 from 33 to get -9967.

$$-\frac{9967}{100}$$

Factor

$$-\frac{9967}{100} = -99\frac{67}{100} = -99.67$$