Adding Fractions: 1 1/3 + 1/3
Adding fractions can seem a bit daunting, but it's actually quite simple once you understand the steps. Let's break down how to add 1 1/3 + 1/3 and express the answer as a fraction.
Understanding Mixed Numbers
First, let's understand what a mixed number is. A mixed number combines a whole number with a fraction. In our example, 1 1/3 represents one whole and one-third.
Finding a Common Denominator
To add fractions, they need to have the same denominator (the bottom number). In this case, our fractions already have a common denominator of 3.
Adding the Fractions
Now, we can simply add the numerators (the top numbers):
- 1/3 + 1/3 = 2/3
Adding the Whole Number
We still need to add the whole number from our mixed number:
- 1 + 2/3 = 1 2/3
Final Answer
Therefore, 1 1/3 + 1/3 = 1 2/3.
Remember, always simplify your fractions if possible. In this case, the fraction 2/3 is already in its simplest form.