Solve 10/100-3+6/50-5/20+5/30

$$\frac { 10 } { 100 } - 3 + \frac { 6 } { 50 } - \frac { 5 } { 20 } + \frac { 5 } { 30 }$$

Evaluate

$$-\frac{859}{300}\approx -2.863333333$$

Solution Steps

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

$$\frac{1}{10}-3+\frac{6}{50}-\frac{5}{20}+\frac{5}{30}$$

Convert 3 to fraction \frac{30}{10}.

$$\frac{1}{10}-\frac{30}{10}+\frac{6}{50}-\frac{5}{20}+\frac{5}{30}$$

Since \frac{1}{10} and \frac{30}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-30}{10}+\frac{6}{50}-\frac{5}{20}+\frac{5}{30}$$

Subtract 30 from 1 to get -29.

$$-\frac{29}{10}+\frac{6}{50}-\frac{5}{20}+\frac{5}{30}$$

Reduce the fraction \frac{6}{50} to lowest terms by extracting and canceling out 2.

$$-\frac{29}{10}+\frac{3}{25}-\frac{5}{20}+\frac{5}{30}$$

Least common multiple of 10 and 25 is 50. Convert -\frac{29}{10} and \frac{3}{25} to fractions with denominator 50.

$$-\frac{145}{50}+\frac{6}{50}-\frac{5}{20}+\frac{5}{30}$$

Since -\frac{145}{50} and \frac{6}{50} have the same denominator, add them by adding their numerators.

$$\frac{-145+6}{50}-\frac{5}{20}+\frac{5}{30}$$

Add -145 and 6 to get -139.

$$-\frac{139}{50}-\frac{5}{20}+\frac{5}{30}$$

Reduce the fraction \frac{5}{20} to lowest terms by extracting and canceling out 5.

$$-\frac{139}{50}-\frac{1}{4}+\frac{5}{30}$$

Least common multiple of 50 and 4 is 100. Convert -\frac{139}{50} and \frac{1}{4} to fractions with denominator 100.

$$-\frac{278}{100}-\frac{25}{100}+\frac{5}{30}$$

Since -\frac{278}{100} and \frac{25}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-278-25}{100}+\frac{5}{30}$$

Subtract 25 from -278 to get -303.

$$-\frac{303}{100}+\frac{5}{30}$$

Reduce the fraction \frac{5}{30} to lowest terms by extracting and canceling out 5.

$$-\frac{303}{100}+\frac{1}{6}$$

Least common multiple of 100 and 6 is 300. Convert -\frac{303}{100} and \frac{1}{6} to fractions with denominator 300.

$$-\frac{909}{300}+\frac{50}{300}$$

Since -\frac{909}{300} and \frac{50}{300} have the same denominator, add them by adding their numerators.

$$\frac{-909+50}{300}$$

Add -909 and 50 to get -859.

$$-\frac{859}{300}$$

Factor

$$-\frac{859}{300} = -2\frac{259}{300} = -2.8633333333333333$$