Why does flipping the second fraction around and then multiplying work when dividing two fractions?

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Eg. 8 over 3 divided by 1 over 3 = 8 over 3 times 3 over 1

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Anonymous 0 Comments

Ok, let’s simplify this a bit.

When you take any number and divide it by 1/3, let’s say you’re dividing 5 (instead of 8 over 3, it works the same, 5 is just a simpler example.)

So you have 5 divided by 1/3.

This is like taking 5 apples, and dividing them into groups where each group only has 1/3rd of an apple.

Which is like cutting an apple into thirds.

Which is like taking 1 Apple and making it 3 pieces. One piece for each group.

So for each apple, you get 3 pieces, so if you divide all 5 apples, you get 15 pieces. 5 divided by 1/3 is 15.

Just like multiplying 5 by 3.

Multiplication and division are just opposite functions.

For example, you could do this in reverse. Say you want to take 10, and divide it by 2. That gives you 5. Or you could take 10, and multiply it by 1/2 (or 0.5). Which also gives you 5.

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