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

Solution:

The addition of fractions involves the application of LCM.

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.

Thus, the sum of 1/9, 2/3, and 5/18 is 19/18.

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

Summary:

The sum of 1/9, 2/3, and 5/18 is 19/18.