Dividing a whole number by a fraction with reciprocal
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- Опубліковано 7 бер 2022
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Think about how many groups of a fraction are in 1, then scale up to find how many groups are in a larger whole number.
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Is there a tangible application of this? It's confusing because 1/5 is larger than 1/7. It's size to me. The bar of 5ths isn't divided in the same way a bar of 7ths would be.
1=5/5 how is it 5/7?
1÷⁷/5 = 1÷1.4 = ~.71
(1÷7)•5 is the same thing.
Idk it just seems like an accepted mathematics anomaly/rule that doesn't fit tangible observation; since when I see a fraction I "see" size seperation.
Folding paper. Staring and thinking.
1.4 = 7/7 so 1 = 5/7
1 = 5/5 so 1.4 = 7/5
edit: context
1.4 ÷ 7 = .2 so every 1/7 = .2
1 ÷ 5 = .2 so every 1/5 = .2
It's basically asking how many 7/5ths are in 1. Since 7/5th is larger than 1, the answer will be less than 1. It's like asking how many 2s are in 1. The answer is found by doing 1/2 = 0.5. In other words there is half a 2 in 1. So there are 5/7ths of 7/5th in 1, which is what the number line shows.
@@Son96601 Once I realized the only way for the size of separation on the bar to make tangible sense is for 7/5 to = 7/7 it "clicked".
It's weird to say though and I still doubt I :understand: it even though I think I can do equations properly.
7/5 is 1.4 .. 1.4 ÷ 7 = .2 .. 1.4 = 7/7 .. 1 = 5/7
Converting it into whole numbers leads to lost values or overly strenuous equations, which is probably why we use reciprocals when dividing fractions, it gets the same answer. But it helped with the visualization of this simple example.
I think I struggled with this same thing in 6th grade. I could follow the rules but the rules didn't make sense; so I'd try to do the process that made sense instead of following the rules. I remember stressing over the .0000000+ decimal many equations. Never saw a fractioned number bar before this.
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Wait, am I the only one who doesn't get this?? Like how did he get 5/7???
Khan academy quality has gone down...
No