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Subtracting Mixed Numbers
LESSON 5-5 Additional Examples A black bear is about 5 ft long. An Alaskan brown bear is about 7 ft tall. How much taller is an Alaskan brown bear than a black bear? 1 4 1 2 To calculate the difference in heights, find 7 – 5 . 1 4 2 – The LCD is 4. Write as . 7 5 1 2 4 Subtract the whole numbers. Then subtract the fractions. 2 1 4 An Alaskan brown bear is 2 ft taller than a black bear. 1 4 Check for Reasonableness Round each mixed number: ; Then subtract: 8 – 5 = 3. The answer 2 is close to the estimate. So, the answer is reasonable. 1 4 2
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Subtracting Mixed Numbers
LESSON 5-5 Additional Examples Find 9 – 1 . 2 3 Write 9 as a mixed number. Use 3 for the denominator since you must subtract . 2 3 3 9 8 Rename 9 as = , or 8 . 2 3 – 1 Then subtract the fractions. 7 Subtract the whole numbers.
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Subtracting Mixed Numbers
LESSON 5-5 Additional Examples A two-week-old panda bear weighed pound. At age one month, the cub weighed pounds. How many pounds did it gain? 3 4 3 10 To answer the question, find – . 3 10 4 Since < , rename Estimate – – 1 = 1. 3 10 4 3 10 2 Rename as = , or 13 1 The LCD is 20. Write as . 26 20 13 10 1 3 4 15 20 – The LCD is 20. Write as . 11 20 1 Subtract. Check for Reasonableness The answer is close to the estimate of 1. 11 20 The panda bear gained pounds. 11 20
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