Solve 18/110+18/121

$$\frac { 18 } { 110 } + \frac { 18 } { 121 }$$

Evaluate

$$\frac{189}{605}\approx 0.312396694$$

Solution Steps

Reduce the fraction \frac{18}{110} to lowest terms by extracting and canceling out 2.

$$\frac{9}{55}+\frac{18}{121}$$

Least common multiple of 55 and 121 is 605. Convert \frac{9}{55} and \frac{18}{121} to fractions with denominator 605.

$$\frac{99}{605}+\frac{90}{605}$$

Since \frac{99}{605} and \frac{90}{605} have the same denominator, add them by adding their numerators.

$$\frac{99+90}{605}$$

Add 99 and 90 to get 189.

$$\frac{189}{605}$$

Factor

$$\frac{3 ^ {3} \cdot 7}{5 \cdot 11 ^ {2}} = 0.31239669421487604$$