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Mastering Fraction Operations

Learn how to add and subtract fractions effectively by rewriting them using the LCD of 40 and 30, simplifying, and evaluating numerators. Guided practice included.

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Mastering Fraction Operations

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  1. 7 35 – 16 a. + + = 8 40 40 – 2 35 +( – 16) 5 = 40 19 = 40 3 25 5 9 b. – – = 10 30 6 30 9 – 25 = 30 – 16 = 30 8 – = 15 EXAMPLE 1 Adding and Subtracting Fractions Rewrite fractions using LCD of 40. Write sum over LCD. Evaluate numerator. Rewrite fractions using LCD of 30. Write difference over LCD. Evaluate numerator. Simplify.

  2. 1 8 3 9 1. + + = 3 8 24 24 8 + 9 = 24 17 = 24 for Example 1 GUIDED PRACTICE Find the sum or difference. Then simplify if possible.

  3. 3 30 9 36 2. – – = 4 10 40 40 30 – 36 = 40 3 – 6 – 3 = = 40 20 20 for Example 1 GUIDED PRACTICE Find the sum or difference. Then simplify if possible.

  4. 5 45 – 7 – 84 3. + + = 12 9 108 108 45 – 84 = 108 13 – 39 13 – = = 108 36 36 for Example 1 GUIDED PRACTICE Find the sum or difference. Then simplify if possible.

  5. 2 32 7 56 4. + + = 8 16 128 128 11 88 = 128 16 11 16 = for Example 1 GUIDED PRACTICE Find the sum or difference. Then simplify if possible.

  6. 1 15 11 66 5. – – = 6 15 90 90 15 – 66 = 90 = – 51 90 – 17 = 30 for Example 1 GUIDED PRACTICE Find the sum or difference. Then simplify if possible.

  7. 1 – 4 – 4 3 6. – – = 11 33 33 33 – 4 – 3 = 33 – 7 = 33 for Example 1 GUIDED PRACTICE Find the sum or difference. Then simplify if possible.

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