How to Add Fractions with Like Denominators Type 01 MathoGuide

MathoGuide 2024-08-25

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How to Add Fractions with Like Denominators | Type 01 | MathoGuide

To add fractions with like denominators, simply add the numerators while keeping the common denominator unchanged. The result will have the same denominator.
For example, to add 2/9 and 7/9, add the numerators (2 + 7) to get 4, and the denominator remains 9.
Therefore, 2/9 + 7/9 = 9/9,
which simplifies to 1 whole.


When you add fractions with like denominators, it means the bottom numbers (denominators) are already the same. Here are step-by-step instructions:

1. **Identify the denominators:** Ensure that the fractions have the same denominator. For instance, if you're adding 2/9 and 7/9, both fractions already have a denominator of 9.

2. **Add the numerators:** The numerator is the top number in the fraction. In our example, you would add 2 + 7, which equals 9.

3. **Keep the common denominator:** Since the denominators are the same, you don't need to change them. The common denominator in our case is 9.

4. **Write the result:** Combine the sum of the numerators with the common denominator. In this example, it would be 9/9.

5. **Simplify if needed:** In this case, 9/9 simplifies to 1, since both the numerator and denominator are divisible by 9.

So, 2/9 + 7/9 = 9/9 = 1. This method works whenever you're adding fractions with the same denominator.

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