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How to Add Fractions With Like Denominators

Last Updated : 14 Feb, 2024
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Answer: To add fractions with like denominators, simply add the numerators and keep the common denominator unchanged.

When you add fractions with like denominators, it means the fractions represent parts of a whole that have been divided into the same number of equal parts.

To add fractions with like denominators:

  1. Add the Numerators: Start by adding the numerators of the fractions together. The numerator represents the number of equal parts you’re considering.
  2. Keep the Denominator Unchanged: The denominator remains the same. It represents the total number of equal parts the whole is divided into.

For example, consider the fractions 3/5 and 2/5:

  1. Add the Numerators: 3/5 + 2/5 = (3 + 2)/5 = 5/5.
    • Here, we add the numerators 3 and 2 together to get 5.
  2. Keep the Denominator Unchanged: Since both fractions have the same denominator (5), we keep it unchanged.
    • The denominator remains 5.

So, the sum of 3/5 and 2/5 is 5/5, which is equivalent to 1 whole.

In summary, when adding fractions with like denominators, you’re essentially combining the parts represented by the numerators while keeping the total number of parts (denominator) unchanged. This process allows you to find the total fraction of the whole being represented by adding up the parts


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