Thinking about how to solve questions in unique ways takes practice. One of the goals of this course is to equip you with the experience necessary to view problems in new ways. Focus on the lesson of each video. For example, this video shows us that there is more than one way to think about fractions. In the future, we'd be able to apply this knowledge to different problems. Always take a step back and consider if there is a different way to think of a problem than the first way you think of it. Keep practicing, and you'll be able to find the most efficient solution to a problem in no time!

Happy Learning!

The Daily Challenge Team

That's funny that you noticed that. 🙂 It wasn't supposed to be a real question, just a joke about the dog doing math! However, if you are really curious about the answer, here is how to do it!

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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:

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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. 🙂

Happy Learning!

The Daily Challenge Team