To solve fractions with like denominators, you simply add or subtract the numerators and keep the denominator the same.
Here's a breakdown of the process:
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Identify the Denominator: Ensure that all fractions you are working with have the same denominator. This is crucial.
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Add or Subtract the Numerators: Perform the required operation (addition or subtraction) on the numerators (the top numbers) of the fractions.
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Keep the Denominator: The denominator (the bottom number) remains the same in the resulting fraction.
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Simplify (If Possible): If the resulting fraction can be simplified (i.e., both the numerator and denominator share a common factor), reduce it to its simplest form.
Example 1: Adding Fractions
Let's add 2/8 and 3/8:
- Denominators are the same: Both fractions have a denominator of 8.
- Add the numerators: 2 + 3 = 5
- Keep the denominator: The denominator remains 8.
- Result: 2/8 + 3/8 = 5/8
Example 2: Subtracting Fractions
Let's subtract 1/4 from 3/4:
- Denominators are the same: Both fractions have a denominator of 4.
- Subtract the numerators: 3 - 1 = 2
- Keep the denominator: The denominator remains 4.
- Result: 3/4 - 1/4 = 2/4
- Simplify: 2/4 can be simplified to 1/2.
In summary: When adding or subtracting fractions with like denominators, focus on performing the operation on the numerators while keeping the denominator constant. Always remember to simplify the resulting fraction if possible.
