Solve 20/50-25/50+100/50

$$\frac{ 20 }{ 50 } - \frac{ 25 }{ 50 } + \frac{ 100 }{ 50 }$$

Evaluate

$$\frac{19}{10}=1.9$$

Solution Steps

Reduce the fraction \frac{20}{50} to lowest terms by extracting and canceling out 10.

$$\frac{2}{5}-\frac{25}{50}+\frac{100}{50}$$

Reduce the fraction \frac{25}{50} to lowest terms by extracting and canceling out 25.

$$\frac{2}{5}-\frac{1}{2}+\frac{100}{50}$$

Least common multiple of 5 and 2 is 10. Convert \frac{2}{5} and \frac{1}{2} to fractions with denominator 10.

$$\frac{4}{10}-\frac{5}{10}+\frac{100}{50}$$

Since \frac{4}{10} and \frac{5}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-5}{10}+\frac{100}{50}$$

Subtract 5 from 4 to get -1.

$$-\frac{1}{10}+\frac{100}{50}$$

Divide 100 by 50 to get 2.

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

Convert 2 to fraction \frac{20}{10}.

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

Since -\frac{1}{10} and \frac{20}{10} have the same denominator, add them by adding their numerators.

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

Add -1 and 20 to get 19.

$$\frac{19}{10}$$

Factor

$$\frac{19}{2 \cdot 5} = 1\frac{9}{10} = 1.9$$