Solve 9/17+11/34+1/34

$$\frac{ 9 }{ 17 } + \frac{ 11 }{ 34 } + \frac{ 1 }{ 34 }$$

Evaluate

$$\frac{15}{17}\approx 0.882352941$$

Solution Steps

Least common multiple of 17 and 34 is 34. Convert \frac{9}{17} and \frac{11}{34} to fractions with denominator 34.

$$\frac{18}{34}+\frac{11}{34}+\frac{1}{34}$$

Since \frac{18}{34} and \frac{11}{34} have the same denominator, add them by adding their numerators.

$$\frac{18+11}{34}+\frac{1}{34}$$

Add 18 and 11 to get 29.

$$\frac{29}{34}+\frac{1}{34}$$

Since \frac{29}{34} and \frac{1}{34} have the same denominator, add them by adding their numerators.

$$\frac{29+1}{34}$$

Add 29 and 1 to get 30.

$$\frac{30}{34}$$

Reduce the fraction \frac{30}{34} to lowest terms by extracting and canceling out 2.

$$\frac{15}{17}$$

Factor

$$\frac{3 \cdot 5}{17} = 0.8823529411764706$$