Solve 34/27+15/18

$$\frac{ 34 }{ 27 } + \frac{ 15 }{ 18 }$$

Evaluate

$$\frac{113}{54}\approx 2.092592593$$

Solution Steps

Reduce the fraction \frac{15}{18} to lowest terms by extracting and canceling out 3.

$$\frac{34}{27}+\frac{5}{6}$$

Least common multiple of 27 and 6 is 54. Convert \frac{34}{27} and \frac{5}{6} to fractions with denominator 54.

$$\frac{68}{54}+\frac{45}{54}$$

Since \frac{68}{54} and \frac{45}{54} have the same denominator, add them by adding their numerators.

$$\frac{68+45}{54}$$

Add 68 and 45 to get 113.

$$\frac{113}{54}$$

Factor

$$\frac{113}{2 \cdot 3 ^ {3}} = 2\frac{5}{54} = 2.0925925925925926$$