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This lesson provides examples of dividing fractions and includes vocabulary related to multiplicative inverses and reciprocal. Learn how to divide fractions with whole numbers and negative fractions, and how to simplify the result.

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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 4-6d Objective Divide fractions

  4. Example 4-6d Vocabulary Multiplicative inverses Two numbers whose product is 1

  5. Example 4-6d Vocabulary Reciprocal Another name for multiplicative inverse

  6. Example 4-6d Vocabulary Inverse Property of Multiplication A product of a rational number and its multiplicative inverse is 1

  7. Example 4-6d Review Vocabulary Additive inverse The sum of any number and its additive inverse is zero A + (-a) = 0 4 + (-4) = 0

  8. Lesson 4 Contents Example 1 Divide Fractions Example 2 Divide by a Whole Number Example 3 Divide by Negative Fractions Example 4 Divide Mixed Numbers

  9. Find Write in simplest form. Example 4-2a Write problem Use calculator Put first fraction in the calculator 3 10 a b/c  2 5 a b/c = Push the division symbol () Put second fraction in the calculator Push the equal sign (=) Answer: 1/4

  10. Find Write in simplest form. Example 4-2b Answer: 1/4

  11. Find Write in simplest form. Example 4-3a Write problem Use calculator Put first fraction in the calculator 6 7 a b/c  12 = Push the division symbol () Put the whole number in the calculator Push the equal sign (=) Answer: 2/4

  12. Find Write in simplest form. Example 4-3b Answer: 2/4

  13. Find Write in simplest form. Example 4-4a Write problem Use calculator Put first fraction in the calculator 2 7 a b/c  8 9 a b/c = +/- Push the division symbol () Put second fraction in the calculator Put the negative sign in calculator (+/-) Push the equal sign (=) Answer: 3/4

  14. Find Write in simplest form. Example 4-4b Answer: 3/4

  15. Find Write in simplest form. Example 4-5a Write problem Put first fraction in the calculator Push the division symbol () 3 1 4 a b/c  2 1 8 a b/c a b/c +/- = a b/c Put second fraction in the calculator Put the negative sign in calculator (+/-) Push the equal sign (=) Answer: 4/4

  16. Find Write in simplest form. Example 4-5c Answer: 4/4

  17. End of Lesson 4 Assignment

  18. Write the multiplicative inverse of Example 4-1a Write problem Convert mixed number to improper fraction Put the whole number in the calculator which is -2 2 7 4  + +/- Multiply by the denominator which is 7 Add numerator which is 4

  19. Write the multiplicative inverse of Write as an improper fraction. Answer: Since the multiplicative inverse of Example 4-1a

  20. Write the multiplicative inverse of Example 4-1b Answer:

  21. MOVIESOne summer day, a cinema shows a hit action movie repeatedly for hours. It takes about 150 minutes to run the movie and prepare for the next showing. How many times does the cinema show the movie that day? Example 4-6a Must have same dimensional analysis to divide Change hours to minutes 12 ½ times 60 minutes

  22. Example 4-6a 12 ½ times 60 minutes 750 minutes in 12 ½ hours Each showing is 150 minutes so now divide Answer: The cinema shows the movie 5 times that day.

  23. ZOOSA zoo has a reptile show that runs repeatedly for hours. It takes about 105 minutes to conduct the show and prepare for the next one. How many times does the zoo run the reptile show each day? Example 4-6d * Answer: 6 times

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