Solve 1/20+2/5+3/10

$$\frac{ 1 }{ 20 } + \frac{ 2 }{ 5 } + \frac{ 3 }{ 10 }$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Least common multiple of 20 and 5 is 20. Convert \frac{1}{20} and \frac{2}{5} to fractions with denominator 20.

$$\frac{1}{20}+\frac{8}{20}+\frac{3}{10}$$

Since \frac{1}{20} and \frac{8}{20} have the same denominator, add them by adding their numerators.

$$\frac{1+8}{20}+\frac{3}{10}$$

Add 1 and 8 to get 9.

$$\frac{9}{20}+\frac{3}{10}$$

Least common multiple of 20 and 10 is 20. Convert \frac{9}{20} and \frac{3}{10} to fractions with denominator 20.

$$\frac{9}{20}+\frac{6}{20}$$

Since \frac{9}{20} and \frac{6}{20} have the same denominator, add them by adding their numerators.

$$\frac{9+6}{20}$$

Add 9 and 6 to get 15.

$$\frac{15}{20}$$

Reduce the fraction \frac{15}{20} to lowest terms by extracting and canceling out 5.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$