Relate fraction division to fraction multiplication

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Bailey Moroz

11 september 2022 22:58

I'm having a hard time understanding which number is the total, which number is the number of groups and which number is the size of the groups in fractional division / multiplication. For example, w=5÷1/5, convert to multiplication. I don't really know where to start, so I look at the hints and it just tells me that the total is 5, the group number is w and the size of groups is 1/5. It doesn't tell me how to understand which is which. The accompanying video doesn't help much and the diagram doesn't help with my specific problem I find. Is this something that I should know intuitively, based on knowledge of how division works? I can't seem to find a pattern between the practice questions either. If anyone can help me with this I'd greatly appreciate it, thank you.

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SP

12 september 2022 00:56
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When you divide fractions, you're multiplying by the reciprocal. The reciprocal is the opposite of a fraction (e.g. the reciprocal of 1/5 is 5/1, or 5).

In your example, you have 5 / (1 / 5), which can also be written as 5 * 5. Which is 25.

Now remember, with division, you're putting the first number (the "dividend") into groups of the second number (the "divisor"). If your dividend is 6, and your divisor is 2, 6 / 2 = 3. You can check this by doing 3 * 2 (answer * divisor) = 6 (dividend).

In the future, you can try going to the video that you're confused on and asking a question.
Bailey Moroz

12 september 2022 01:20
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Thanks that's a great explanation, sorry I'm pretty new to Khan academy lol
Shaun Walton

25 maart 2024 10:36
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I downvoted your comment.

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Relate fraction division to fraction multiplication

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