18eded48-2451-4316-b23a-0e42bac2da83-image.png

b8a23e73-d42f-4445-8ca9-2bd52e7e25d9-image.png

dbccb952-b19e-4e2b-a906-7687478aa93c-image.png

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A review of how to divide by a fraction:

Consider:

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Think of this as a switched-around multiplication problem:

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where we could say that 3/2 equals how many groups (people) we have,

? equals how much is in each group (how many cookies each person gets), and 2 equals how much stuff (cookies) we are sharing we have altogether.

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To figure out

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let's compare it with something similar that we know, like 2/3, where the "2" means how many cookies altogether we are sharing, and "3" means the number of groups you are sharing them into. For example,

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Let's try to understand why 2/(3/2) should be twice as big as 2/3.

The answer to 2/3 means how much cookie each person gets. As a multiplication problem, this would be:

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And you could represent it as a picture of groups, like this:

1b42cbfc-470a-4e8e-912c-50737bba3921-image.png

Try to think of 2/(3/2) as the amount each person gets when you share 2 cookies, but instead of sharing with three people, you share with half as many people. If fewer people are sharing the cookies, does each person get more cookie or less cookie? More cookie! If there are half as many people as before, how many times as much cookie does each person get? They each get twice as much cookie!

This is why the bottom 2 "jumps" to the top!

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I hope this helps! Thanks for asking, and for being curious about this question which wasn't intended for actual consumption. ðŸ™‚

Happy Learning!

The Daily Challenge Team

]]>Happy Learning!

The Daily Challenge Team

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