Solve 13/20+2/5-7/10

$$\frac { 13 } { 20 } + \frac { 2 } { 5 } - \frac { 7 } { 10 }$$

Evaluate

$$\frac{7}{20}=0.35$$

Solution Steps

Least common multiple of 20 and 5 is 20. Convert \frac{13}{20} and \frac{2}{5} to fractions with denominator 20.

$$\frac{13}{20}+\frac{8}{20}-\frac{7}{10}$$

Since \frac{13}{20} and \frac{8}{20} have the same denominator, add them by adding their numerators.

$$\frac{13+8}{20}-\frac{7}{10}$$

Add 13 and 8 to get 21.

$$\frac{21}{20}-\frac{7}{10}$$

Least common multiple of 20 and 10 is 20. Convert \frac{21}{20} and \frac{7}{10} to fractions with denominator 20.

$$\frac{21}{20}-\frac{14}{20}$$

Since \frac{21}{20} and \frac{14}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-14}{20}$$

Subtract 14 from 21 to get 7.

$$\frac{7}{20}$$

Factor

$$\frac{7}{2 ^ {2} \cdot 5} = 0.35$$