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EXAMPLE 1

1. 2. –. Find the difference . 2. 1. 3. 3. 2. 1. You can’t subtract from . . 3. 3. 1. 3. 1. 1. Think of as . 2. +. +. 3. 3. 3. 4. 4. 1. 1. 1. Rename as. 1. 2. 2. =. 3. 3. 3. 3. 2. 2. –. 1. 1. –. =. 3. 3. 2. 3.

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EXAMPLE 1

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  1. 1 2 – Find the difference . 2 1 3 3 2 1 You can’t subtract from . 3 3 1 3 1 1 Think of as . 2 + + 3 3 3 4 4 1 1 1 Renameas 1 2 2 = 3 3 3 3 2 2 – 1 1 – = 3 3 2 3 EXAMPLE 1 Subtracting Mixed Numbers Subtract.

  2. 1 . – Find the difference 5 3 7 7 Think of as or 5 4 + 1 4 + 7 7 7 4 Renameas . 5 4 = 5 7 7 1 1 3 3 – – = 7 7 6 1 7 EXAMPLE 2 Subtracting from a Whole Number Subtract.

  3. 1 3 . – 5 3 You need to find the difference 3 4 Use the LCD, 12. EXAMPLE 3 Solving Subtraction Problems Horses The height of a horse is measured from its shoulders, as shown in the figure. How much taller is the Clydesdale than the Shetland?

  4. 4 16 Renameas 5 4 12 12 3 9 9 – 3 3 – = – = 3 4 12 12 7 1 12 7 1 The Clydesdale is feet taller than the Shetland. 12 EXAMPLE 3 EXAMPLE 3 Solving Subtraction Problems Solving Subtraction Problems 4 1 16 5 5 4 = = 12 3 12 Subtract. ANSWER

  5. 1 3 – 3 1 = 4 4 = 6 1 1 1 1 1 7 2 – 3 2 = 2 2 for Example 1, 2 and 3 GUIDED PRACTICE Find the difference. Simplify if possible. 2 3 – 6 4 7 7

  6. 1 2 5 3 = – – 10 6 2 7 3 4 6 5 = 5 2 13 5 2 3 8 20 6 = for Example 1, 2 and 3 GUIDED PRACTICE Find the difference. Simplify if possible. 3 – 8 5 8

  7. 7 4 10 ANSWER 19 The Arabian horse is feet shorter than the Clydesdale. 30 for Example 1, 2 and 3 GUIDED PRACTICE WHAT IF? Suppose an Arabian horse is feet tall. How much shorter is it than the Clydesdale from Example 3?

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