Solve 7/10+3/4-11/20

$$\frac { 7 } { 10 } + \frac { 3 } { 4 } - \frac { 11 } { 20 }$$

Evaluate

$$\frac{9}{10}=0.9$$

Solution Steps

Least common multiple of 10 and 4 is 20. Convert \frac{7}{10} and \frac{3}{4} to fractions with denominator 20.

$$\frac{14}{20}+\frac{15}{20}-\frac{11}{20}$$

Since \frac{14}{20} and \frac{15}{20} have the same denominator, add them by adding their numerators.

$$\frac{14+15}{20}-\frac{11}{20}$$

Add 14 and 15 to get 29.

$$\frac{29}{20}-\frac{11}{20}$$

Since \frac{29}{20} and \frac{11}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{29-11}{20}$$

Subtract 11 from 29 to get 18.

$$\frac{18}{20}$$

Reduce the fraction \frac{18}{20} to lowest terms by extracting and canceling out 2.

$$\frac{9}{10}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 5} = 0.9$$