Solution:
The addition of fractions involves the application of LCM.
1/9, 2/3, and 5/18 arefractions 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, thesum of 1/9, 2/3, and 5/18 is 19/18.
Summary:
The sum of 1/9, 2/3, and 5/18 is 19/18.