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How do you solve fractions with like denominators?

Published in Fractions Arithmetic 2 mins read

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:

  • Identify the Denominator: Ensure that all fractions you are working with have the same denominator. This is crucial.

  • Add or Subtract the Numerators: Perform the required operation (addition or subtraction) on the numerators (the top numbers) of the fractions.

  • Keep the Denominator: The denominator (the bottom number) remains the same in the resulting fraction.

  • 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:

  1. Denominators are the same: Both fractions have a denominator of 8.
  2. Add the numerators: 2 + 3 = 5
  3. Keep the denominator: The denominator remains 8.
  4. Result: 2/8 + 3/8 = 5/8

Example 2: Subtracting Fractions

Let's subtract 1/4 from 3/4:

  1. Denominators are the same: Both fractions have a denominator of 4.
  2. Subtract the numerators: 3 - 1 = 2
  3. Keep the denominator: The denominator remains 4.
  4. Result: 3/4 - 1/4 = 2/4
  5. 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.

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