Solve 33/110+55/109

$$\frac { 33 } { 110 } + \frac { 55 } { 109 }$$

Evaluate

$$\frac{877}{1090}\approx 0.804587156$$

Solution Steps

Reduce the fraction \frac{33}{110} to lowest terms by extracting and canceling out 11.

$$\frac{3}{10}+\frac{55}{109}$$

Least common multiple of 10 and 109 is 1090. Convert \frac{3}{10} and \frac{55}{109} to fractions with denominator 1090.

$$\frac{327}{1090}+\frac{550}{1090}$$

Since \frac{327}{1090} and \frac{550}{1090} have the same denominator, add them by adding their numerators.

$$\frac{327+550}{1090}$$

Add 327 and 550 to get 877.

$$\frac{877}{1090}$$

Factor

$$\frac{877}{2 \cdot 5 \cdot 109} = 0.8045871559633028$$