Solve 1/9+3/11-2/17

$$\frac { 1 } { 9 } + \frac { 3 } { 11 } - \frac { 2 } { 17 }$$

Evaluate

$$\frac{448}{1683}\approx 0.266191325$$

Solution Steps

Least common multiple of 9 and 11 is 99. Convert \frac{1}{9} and \frac{3}{11} to fractions with denominator 99.

$$\frac{11}{99}+\frac{27}{99}-\frac{2}{17}$$

Since \frac{11}{99} and \frac{27}{99} have the same denominator, add them by adding their numerators.

$$\frac{11+27}{99}-\frac{2}{17}$$

Add 11 and 27 to get 38.

$$\frac{38}{99}-\frac{2}{17}$$

Least common multiple of 99 and 17 is 1683. Convert \frac{38}{99} and \frac{2}{17} to fractions with denominator 1683.

$$\frac{646}{1683}-\frac{198}{1683}$$

Since \frac{646}{1683} and \frac{198}{1683} have the same denominator, subtract them by subtracting their numerators.

$$\frac{646-198}{1683}$$

Subtract 198 from 646 to get 448.

$$\frac{448}{1683}$$

Factor

$$\frac{2 ^ {6} \cdot 7}{3 ^ {2} \cdot 11 \cdot 17} = 0.26619132501485443$$