Solve 5/7-3/2+11/13

$$\frac { 5 } { 7 } - \frac { 3 } { 2 } + \frac { 11 } { 13 }$$

Evaluate

$$\frac{11}{182}\approx 0.06043956$$

Solution Steps

Least common multiple of 7 and 2 is 14. Convert \frac{5}{7} and \frac{3}{2} to fractions with denominator 14.

$$\frac{10}{14}-\frac{21}{14}+\frac{11}{13}$$

Since \frac{10}{14} and \frac{21}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-21}{14}+\frac{11}{13}$$

Subtract 21 from 10 to get -11.

$$-\frac{11}{14}+\frac{11}{13}$$

Least common multiple of 14 and 13 is 182. Convert -\frac{11}{14} and \frac{11}{13} to fractions with denominator 182.

$$-\frac{143}{182}+\frac{154}{182}$$

Since -\frac{143}{182} and \frac{154}{182} have the same denominator, add them by adding their numerators.

$$\frac{-143+154}{182}$$

Add -143 and 154 to get 11.

$$\frac{11}{182}$$

Factor

$$\frac{11}{2 \cdot 7 \cdot 13} = 0.06043956043956044$$