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Adding and Subtracting Unlike Fractions

Learn how to rewrite unlike fractions using equivalent fractions, find the least common multiple (LCM), and simplify your fractions step by step. Practice adding and subtracting fractions with ease.

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Adding and Subtracting Unlike Fractions

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  1. Adding and Subtracting Unlike Fractions Lesson 4-3

  2. Rewrite the problem with equivalent fractions • List the multiples of both denominators. • Find the least common multiple (LCM). • Write new fractions with the LCM as the new denominator. • Find the factor you multiply by to get from your original denominator to your new denominator. • Use that same factor, and multiply it by your original numerator to get a new numerator.

  3. WHAT DOES THAT MEAN? Let’s illustrate the steps with an example. 3 1 + 4 6

  4. 3 1 + 4 6 9 2 x 3 x 2 + 12 12 11 Multiples of 4: 4, 8, 12, 16, 20 12 Multiples of 6: 6, 12, 18, 24, 30

  5. Example 2 9 2 10, 20, 30, 40, 50 5, 10, 15, 20, 25 5 10 5 x 1 x 2 9 4 = 10 10 10 1 = 2

  6. Homework Time!

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