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A number sentence is shown below:

45 and 1 over 3Division sign1 over 6 equals 272

Part A: Create a story or context for this number sentence. (4 points)

Part B: Rewrite this number sentence using multiplication. (2 points)

Part C: Give a verbal explanation that describes how these three numbers are related. (4 points)

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Part A: Jim wants to know if 1/6 can go in to 45 1/3 what is the quotient that Jim is looking for.

Part B: 136/3x6/1= 816:3 3/816 =272

Part C: they all relate by making 816:3

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Did you know?

Did you know that a number sentence can be used to solve math problems? In this example, the number sentence is "45 and 1 over 3 divided by 1 over 6 equals 272." Let's break it down! Part A: Imagine you have 45 bags of candy, and you want to share them equally among a group of friends. Each friend gets 1/3 of a bag of candy, but you divide it even smaller by sharing it with 6 different friends. After dividing the candy, each friend ends up with 272 small pieces of candy. Part B: To rewrite this number sentence using multiplication, we can multiply instead of dividing. We can say "45 and 1 over 3 multiplied by 6 equals 272." Part C: These three numbers are related because they represent different stages of division and multiplication within the problem. The number 45 represents the total number of bags of candy, the number 1 over 3 represents the fraction each friend initially receives, and the number 1 over 6 represents the fraction that each initial share is further divided by. Finally, the number 272 represents the final result or the number of smaller pieces of candy each friend ultimately gets.