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4 x 6 = 24

Does the inverse relationship between multiplication and division stay the same when multiplying and dividing fractions?. In this lesson you will learn how to check your answers when dividing fractions by thinking about the inverse relationship between multiplication and division.

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4 x 6 = 24

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  1. Does the inverse relationship between multiplication and division stay the same when multiplying and dividing fractions?

  2. In this lesson you will learn how to check your answers when dividing fractions by thinking about the inverse relationship between multiplication and division.

  3. Fact Families are a collection of related facts. 4 6 4 x 6 = 24 6 x 4 = 24 24 24 _ 6 = 4 24 _ 4 = 6

  4. 35 _ 7 = 5 How can I check to see if my answer is correct? I know that seven groups of five is 35… So… 35 divided into 7 equal groups results in 5 per group.

  5. A common mistake is to forget that the inverse relationship of multiplication and division remains the same, no matter what kind of numbers you are working with. 2 _ 3 = 3 x = 2 x 3 = 2 2 _ = 3

  6. _ = ? 3 1 whole 1 whole Does this answer make sense? 1 3 2

  7. _ = x = 1 whole This answer makes sense!

  8. My answer should be less than 1. _ = ? This answer makes sense because it is less than 1. One set of …

  9. _ = x = x = =

  10. In this lesson you have learned how to check your answers when dividing fractions by thinking about the inverse relationship between multiplication and division.

  11. _ =

  12. _ =

  13. Charlie solved these three division problems. Please check his work by using related multiplication facts. Are his answers correct? _ = _ = 2 _ =

  14. Use a deck of cards (1 – 10 only) to create division problems. If you happen to create an improper fraction (numerator greater than denominator), you may switch the order of the cards or change it to a mixed number if you wish. • Now SOLVE. • (If necessary, use fraction bars to build and solve the problems.) Place four cards as shown. CARD _ CARD CARD CARD Be sure to check your answers by using multiplication!

  15. Solve each problem. Use multiplication to check your answers. _ = ? 1 _ = ?

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