# What is the sum of 1/9, 2/3, and 5/18?

The addition of fractions involves the knowledge of LCM.

## Answer: The sum of 1/9, 2/3, and 5/18 is 19/18 or 1 1/18.

Let's understand the addition of fractions with unequal denominators.

**Explanation:**

The given fractions are 1/9, 2/3, and 5/18 are fractions with unequal denominators. So we need to find the equivalent fractions of them with the denominator as LCM(9,3,18)

The LCM of 9, 3, and 18 is 18.

So,

- 1/9 = (1 × 2)/(9 × 2) = 2/18
- 2/3 = (2 × 6)/(3 × 6) = 12/18
- 1/9 + 2/3 + 5/18 = 2/18 + 12/18 + 5/18 = (2 + 12 + 5)/18 = 19/18.

19/18 is an improper fraction it can be expressed as 1 1/18.