Evaluating the Expression: 1/9 + 1/3 + 1/6 as a Fraction
When dealing with fractions, it's essential to understand how to add and simplify them. In this article, we'll evaluate the expression 1/9 + 1/3 + 1/6 as a fraction.
Step 1: Find the Least Common Multiple (LCM)
To add these fractions, we need to find the least common multiple (LCM) of the denominators, which are 9, 3, and 6. The LCM of these numbers is 18.
Step 2: Convert Each Fraction to Have a Denominator of 18
Now, we'll convert each fraction to have a denominator of 18:
- 1/9 = 2/18
- 1/3 = 6/18
- 1/6 = 3/18
Step 3: Add the Fractions
Next, we'll add the fractions:
2/18 + 6/18 + 3/18 = 11/18
Simplifying the Result
The result of the addition is 11/18. Since the numerator (11) and denominator (18) do not have any common factors, the fraction is in its simplest form.
Conclusion
Therefore, the expression 1/9 + 1/3 + 1/6 as a fraction is equal to 11/18.
