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EXAMPLE 1

1. 1. Kate spent of her day playing softball and of her day playing soccer. 12. 8. To answer the real-world question above, find the sum. 1. 1. +. 8. 12. 3. 3. 1. =. 24. 8. 3. 2. 1. 2. +. +. =. 24. 12. 2. 5. 5.

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EXAMPLE 1

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  1. 1 1 Kate spent of her day playing softball and of her day playing soccer. 12 8 To answer the real-world question above, find the sum 1 1 + 8 12 3 3 1 = 24 8 3 2 1 2 + + = 24 12 2 5 5 Kate spent of her day playing sports. 24 24 ANSWER EXAMPLE 1 Adding Fractions Rewrite both fractions using the LCD,24. Add the fractions.

  2. 3 5 . Find the sum + 8 4 5 5 = 8 8 3 2 3 6 + + = Rewrite using the LCD, 8. 8 4 4 2 11 3 1 , or 8 8 EXAMPLE 2 Rewriting Sums of Fractions Add the fractions.

  3. 2 7 1 1 3 4 1 5 1. 3. 2. 4. + + + + 5 6 3 3 10 9 2 4 = = = 4 11 1 9 1 1 20 6 = 8 1 15 GUIDED PRACTICE EXAMPLE 3 for Examples 1 and 2 Comparing Decimals Find the sum. Simplify if possible.

  4. 29 Kate spent of her day in class or studying. 40 GUIDED PRACTICE EXAMPLE 3 for Examples 1 and 2 Comparing Decimals 5.WHAT IF? Suppose you wanted to know the fraction of Kate’s day that was spent in class or studying. Find the fraction. ANSWER

  5. 4 2 5 3 EXAMPLE 3 Subtracting Fractions RAINFALL Last week, inch of rain fell on Monday and inch fell on Tuesday. How much more rain fell on Tuesday than on Monday?

  6. 2 4 You need to find the difference of and 3 5 4 3 12 = 5 3 15 2 5 10 – – = 3 5 15 2 15 2 On Tuesday inch more rain fell than on Monday. 15 EXAMPLE 3 Subtracting Fractions SOLUTION Rewrite both fractions using the LCD, 15 Subtract the fractions. ANSWER

  7. 5 7 3 1 6. 7. – – 6 4 4 = = 5 5 = = 8 8 8 1 8 1 4 12 15 8. – 2 9 5 3 9. – 6 10 for Example 3 GUIDED PRACTICE

  8. 2 Racing: One lap of Speedway A is mile. One lap of Speedway B is mile. How much longer is one lap of Speedway B? 10. 5 3 4 ANSWER 7 One lap of Speedway B is of a mile longer. 20 for Example 3 GUIDED PRACTICE

  9. SOLUTION 3 You need to find the total amount of time, so add 5 3 and . 10 STEP1 STEP 2 STEP 3 Combine to find the sum. Draw models to Redraw the models to divide them the same way. represent the problem. + + = = EXAMPLE 4 Standardized Test Practice

  10. 9 The total amount of time of your workout is hour. 10 So, the correct answer is C. EXAMPLE 4 Standardized Test Practice ANSWER

  11. 1 3 1 5 for Example 4 GUIDED PRACTICE 11. WHAT IF? You ride an exercise bike for hour and do abdominal exercises for hour. Draw a model that represents your workout time. ANSWER

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