Solve 6/5-3/10+5/20

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

Evaluate

$$\frac{23}{20}=1.15$$

Solution Steps

Least common multiple of 5 and 10 is 10. Convert \frac{6}{5} and \frac{3}{10} to fractions with denominator 10.

$$\frac{12}{10}-\frac{3}{10}+\frac{5}{20}$$

Since \frac{12}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-3}{10}+\frac{5}{20}$$

Subtract 3 from 12 to get 9.

$$\frac{9}{10}+\frac{5}{20}$$

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

$$\frac{9}{10}+\frac{1}{4}$$

Least common multiple of 10 and 4 is 20. Convert \frac{9}{10} and \frac{1}{4} to fractions with denominator 20.

$$\frac{18}{20}+\frac{5}{20}$$

Since \frac{18}{20} and \frac{5}{20} have the same denominator, add them by adding their numerators.

$$\frac{18+5}{20}$$

Add 18 and 5 to get 23.

$$\frac{23}{20}$$

Factor

$$\frac{23}{2 ^ {2} \cdot 5} = 1\frac{3}{20} = 1.15$$