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Adding and Subtracting Unlike Fractions. Lesson 4-3. 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.
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Adding and Subtracting Unlike Fractions Lesson 4-3
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.
WHAT DOES THAT MEAN? Let’s illustrate the steps with an example. 3 1 + 4 6
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
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