This is the most down to earth and easy explanation without all of those “technical” terms. I actually knew that fractions that divide evenly do not have to be flipped. The funny thing is, I accidentally discovered that on my own before I even knew it was a thing. There are some other neat things (due to my accidental discovery) I learned about division of fractions, but your explanation about the reciprocal was the best yet! It makes absolute sense!!
This is one of those math practices that you tell your kids "this is how we do it" and then they stare into your soul and you begin to question your own education. Thank you Miss Rumbaugh wherever you are.
Thanks so much. Very brilliantly explained. I was struggling to explain to my son why/how the multiplication by reciprocal works, really helped. As soon as you mentioned about complex fraction and cancelling the denominator we were like "Eureka! "😂❤
Excellent - I'm 62 years old and been working with numbers all my life, and had never seen that "you don't have to flip them if they actually divide evenly", as Troy C points out (0:50 in the video). Now I just have to go and remind myself why I can go from (a/b) x (c/d) to (a x b) / (c x d) - !! Thanks
The reciprocal of x is 1/x: If you multiply a number by its reciprocal the result is 1 We use this property when creating equivalent fractions. a/b x n/n = na/nb because a x nb = b x na (or abn = abn) If you are multiplying two fraction a/b x c/d then you get (a x c)/(b x d) So even though a & d might be in different fractions if they have a common factor they can be simplified because one number is in the numerator and the other number is in the denominator.
@@sarahhudson4006 The whole purpose in teaching fractions is to prepare the ground for Algebra. I put it into algebraic form so people can see the general rule and avoid the confusion students often experience in first seeing a fraction over a fraction (which often freaks them out). Proofs of basic arithmetic are rarely taught for natural numbers, integers or fractions. Yet they are all different types so the laws or arithmetic need to be tested and proved for each type.
But why can't we keep a fraction like 1/1.666.. , She told that we do by the reciprocal method to not work with this kind of fraction but the question is: Why can't we?
She explained why through her example. She took that same number and just changed its form, not the value-all to show that when dividing fractions, we multiply by the reciprocal.
I dont like how you wrote the 6/5 above before you went back down to the reciprocals and then you glanced over why youd cross devide the numerators with denominators......
Uh... yes it does. She showed that two times already lol. 3/2 x 2/3 = 6/6 = 1 5/6 x 6/5 = 30/30 = 1 5/8 x 8/5 = 40/40 = 1 And it’s logical if you know basic multiplication.
We multiply reciprocals to better simplify or get a greater accuracy in the answer we calculate. You get rid of the denominator by multiplying by its reciprocal. Like 5/10 / 5/6. You can’t really divide these denominators into its simplest form because when you divide, again you will get another fraction: 1 4/6 so it is a fraction or decimal inside of a fraction. So we use the reciprocal method. Why the reciprocal method works. When multiplying 5/6 and 6/5, it gives you 1 like it always does when multiplying a fraction and its reciprocal. It gets rid of the denominator, transforming it rather. You DO the same to 5/10. Multiply 6/5 and 5/10. Why? To keep the equation balanced. By keeping the equation balanced means that the value of the problem would NOT change. Hence, it means you’re on the right track and actually solving the original problem instead of creating a new problem or having a method that evolves the problem into a different problem.
If you and a lot of others had questioned it kids wouldn't have to learn it because it would have been put in the bull shit file Why use such big numbers to demonstrate it ?.
![[Part 1] ทารกน้อยถูกทิ้ง👶 หญิงชราเก็บขวดขายเลี้ยงดูเขาจนโต #โลกการละคร](http://i.ytimg.com/vi/nPTDvFCExks/mqdefault.jpg)
I show this video to my students every year! Thank you so much!!!😁😁
Thank you so much!!! I've seen about 5 videos and this is by far the best explanation for why you multiply by the reciprocal.
Excellent explanation! 2:23 made a new understanding happen for me. Thanks Jill
lol Brilliant. Jill is the first person I've ever heard explain that you don't have to flip them if they actually divide evenly.
I never knew that. I always thought you HAD to flip the reciprocal.
thank you so much, Jill. my brain is huge now. IT FINALLY MAKES SENSE
This is such a simple and clear explanation. Great job!
This is the most down to earth and easy explanation without all of those “technical” terms. I actually knew that fractions that divide evenly do not have to be flipped. The funny thing is, I accidentally discovered that on my own before I even knew it was a thing. There are some other neat things (due to my accidental discovery) I learned about division of fractions, but your explanation about the reciprocal was the best yet! It makes absolute sense!!
This is one of those math practices that you tell your kids "this is how we do it" and then they stare into your soul and you begin to question your own education. Thank you Miss Rumbaugh wherever you are.
If you learned fractions before the 2000s there's a good chance you were never taught this explicitly.
Hands down the best explanation of this concept I've found! Thank you!!
Thanks so much. Very brilliantly explained. I was struggling to explain to my son why/how the multiplication by reciprocal works, really helped. As soon as you mentioned about complex fraction and cancelling the denominator we were like "Eureka! "😂❤
This does an excellent job to show why we multiply by the reciprocal.
Excellent - I'm 62 years old and been working with numbers all my life, and had never seen that "you don't have to flip them if they actually divide evenly", as Troy C points out (0:50 in the video).
Now I just have to go and remind myself why I can go from (a/b) x (c/d) to (a x b) / (c x d) - !!
Thanks
Finally I understand! Thank you!!
I love your explanation!! Now I can make a lesson plan using reciprocal!! Thank you!!
This is amazing. Thank you!
Bravo!!!!! Thanks so much! Appreciated
You are a hero!!! Thank you!
Beautiful, thank you!
Thank you very much for explaining this in such a easy way
Love it literally
Amazing explanation!
I actually understand it now !
The reciprocal of x is 1/x:
If you multiply a number by its reciprocal the result is 1
We use this property when creating equivalent fractions.
a/b x n/n = na/nb because a x nb = b x na (or abn = abn)
If you are multiplying two fraction a/b x c/d then you get (a x c)/(b x d)
So even though a & d might be in different fractions if they have a common factor they can be simplified because one number is in the numerator and the other number is in the denominator.
Why are you repeating what she just said?
@@sarahhudson4006 The whole purpose in teaching fractions is to prepare the ground for Algebra. I put it into algebraic form so people can see the general rule and avoid the confusion students often experience in first seeing a fraction over a fraction (which often freaks them out). Proofs of basic arithmetic are rarely taught for natural numbers, integers or fractions. Yet they are all different types so the laws or arithmetic need to be tested and proved for each type.
why in second example is it 1 over 1.6 as 10 divided by 6 is 1 and four left over .
But why can't we keep a fraction like 1/1.666.. , She told that we do by the reciprocal method to not work with this kind of fraction but the question is: Why can't we?
She explained why through her example. She took that same number and just changed its form, not the value-all to show that when dividing fractions, we multiply by the reciprocal.
You just solved problems but you didnt gave the actual proof of why multiplying with reciprocals or maybe i didnt understood
I dont like how you wrote the 6/5 above before you went back down to the reciprocals and then you glanced over why youd cross devide the numerators with denominators......
why is this video in the category of comedy?
Yeah but this still doesn't show the proof of why multiplying a fraction by its reciprocal always equals 1.
Uh... yes it does. She showed that two times already lol. 3/2 x 2/3 = 6/6 = 1
5/6 x 6/5 = 30/30 = 1
5/8 x 8/5 = 40/40 = 1
And it’s logical if you know basic multiplication.
doesnt really explainwhy ot makes sense though just know it does
We multiply reciprocals to better simplify or get a greater accuracy in the answer we calculate.
You get rid of the denominator by multiplying by its reciprocal.
Like 5/10 / 5/6. You can’t really divide these denominators into its simplest form because when you divide, again you will get another fraction: 1 4/6 so it is a fraction or decimal inside of a fraction. So we use the reciprocal method.
Why the reciprocal method works. When multiplying 5/6 and 6/5, it gives you 1 like it always does when multiplying a fraction and its reciprocal. It gets rid of the denominator, transforming it rather. You DO the same to 5/10. Multiply 6/5 and 5/10. Why? To keep the equation balanced. By keeping the equation balanced means that the value of the problem would NOT change. Hence, it means you’re on the right track and actually solving the original problem instead of creating a new problem or having a method that evolves the problem into a different problem.
If you and a lot of others had questioned it kids wouldn't have to learn it because it would have been put in the bull shit file Why use such big numbers to demonstrate it ?.