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Division of Fractions and Reciprocals - Lesson 4

This lesson teaches how to divide fractions and find reciprocals. Examples and vocabulary explanations are provided. Includes practice problems and real-life scenarios.

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Division of Fractions and Reciprocals - Lesson 4

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  1. Transparency 4 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 4-5b Objective Divide fractions

  4. Example 4-5b Vocabulary Reciprocal Any two numbers whose product is 1 The numerator goes to the denominator Then the denominator goes to the numerator

  5. Lesson 4 Contents Example 1Find Reciprocals Example 2Find Reciprocals Example 3Divide by a Fraction Example 4Divide by a Whole Number

  6. Example 4-1a Find the reciprocal of 7 7 Write the problem 1 Make 7 a fraction by using a denominator of 1 1 Answer:. 7 Move denominator of 1 into the numerator Move numerator of 7 into the denominator 1/4

  7. Example 4-1b Find the reciprocal of 4 Answer: 1/4

  8. Find the reciprocal of Example 4-2a Write the problem Move denominator of 8 into the numerator Answer: Move numerator of 3 into the denominator 2/4

  9. Find the reciprocal of Answer: Example 4-2b 2/4

  10. Example 4-3a Write the problem Find Write first fraction then change  to  1 6  change next fraction to reciprocal 3 5 1  6 Multiply numerators. 3  5 Multiply denominators 6 15 Simplify 3/4

  11. Example 4-3a Find GCF of 6 and 15  3 6 Divide GCF of 3 into both numerator and denominator  3 15 Answer: 3/4

  12. Example 4-3b Find Answer: 3/4

  13. A relay race is of a mile long. There are 4 runners in the race. What portion of a mile will each racer run? Example 4-5a Determine the process to use  4 “What portion” refers to division The track was of a mile long 4 runners will run a portion of the race 4/4

  14. A relay race is of a mile long. There are 4 runners in the race. What portion of a mile will each racer run? Example 4-5a Remember: To make 4 a fraction, place a denominator of 1  4 1 Write first fraction 1  4 Change division to multiplication Reciprocate second fraction 4/4

  15. A relay race is of a mile long. There are 4 runners in the race. What portion of a mile will each racer run? Example 4-5a Multiply numerators  4 Multiply denominators 1 Find GCF of 3 and 16 1  4 GCF = 1 3 Answer: mile Add dimensional analysis 16 4/4

  16. A bag of jelly beans that is of a pound is to be divided evenly among 4 friends. How much of the bag does each of the friends get? Example 4-5b * 7 pound Answer: 32 4/4

  17. End of Lesson 4 Assignment

  18. PARKING A parking garage charges $1 for every of an hour of parking. How much money will you need to park for 5 hours? Divide 5 by to find the number of thirds of an hour in 5 hours. Example 4-4a Write the problem 4/5

  19. Multiply by the reciprocal of Example 4-4a Write first fraction Change  to  5 3  1 1 Multiply numerators 5  3 Multiply denominators. 1  1 Simplify. Answer: So, you will need $15 to park for 5 hours. 4/5

  20. EQUIPMENT RENTAL A hardware store charges $3 for every hour a tool is rented. How much would it cost to rent the tool for 4 hours? Example 4-4b Answer: $24 4/5

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