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Adding and Subtracting Fractions With Common Denominators

Learn how to efficiently add and subtract fractions with both common and unlike denominators. We'll explore the steps necessary to solve problems like 2 + 3 and 1/6 + 2/5, breaking each down for clarity. For common denominators, simply add or subtract the numerators and keep the denominator unchanged. For unlike denominators, find the least common denominator and convert the fractions before performing the operation. This comprehensive guide is perfect for students looking to strengthen their fraction skills.

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Adding and Subtracting Fractions With Common Denominators

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  1. Adding and Subtracting Fractions With Common Denominators • 2 + 3 = 2+3 = 5 7 7 7 7 When the denominator (the bottom part of the fractions) is the same, all we need to do is add or subtract across the top and leave the bottom unchanged. Solve: 4 + 3 = 1 + 2 = 9 9 5 5

  2. With Unlike Denominators • 1 + 2 = The first step is to find the lowest 3 5 common denominator. That is the smallest number that the two “bottoms” of the fractions will go into. In this case it is 15. We change the original question to two fractions with the same denominator (15) 1+ 21 = 52 = 6 so 5 + 6 = 11 3 5 3 15 5 15 15 15 15

  3. Adding and Subtracting Fractions • Solve: • ¼ + 2/3 = • What is the lowest common denominator? • ¼ = and 2/3 = • So, rewrite the original question as:

  4. Adding and Subtracting Fractions • Solve 1/6 + 2/5

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