Thanks for watching this clip for more related information please take a look at this playlist, th-cam.com/play/PLsX0tNIJwRTze0CGfU9VGZUJrDHYk63nI.html
Mr. Speller, we were just trying to help our daughter with dividing fractions, and we realized that we knew THAT we were supposed to multiply by the reciprocal, but we didn't know WHY. I always just did it, because I was told to do it, and it gave me the right answer. My husband likes to know WHY, and he failed math classes, because of the confusion and frustration caused by "just do it" math teachers. We were both SO relieved to find this clear tutorial on the why. It helped him not feel like he was dumb all those years for asking why, and it helped me and our daughter fully understand too. You rock! Thanks so much!
Thank you for the thoughtful comment. I am glad I could add some clarity. Finding out why removes some of the "magic" from math which can be very helpful to a lot of students like your husband. I was more of a student like you and just did it cause "Ms. Danielson", my middle school teacher, said so. lol. Have a great day!
Hands down the most elegant explanation. There are other videos that explain the concept through graphical representation however this video shows the arithmetic proof. I never thought to question why we multiply reciprocals to divide fractions - I just did so because my 4th grade teacher told me to.
Thanks. I had a middle school student ask me that question years ago. I was determined to get that student the answer and to explain it so that they could really understand the process. Glad that you enjoyed the explanation as well. Have a great weekend! Please be sure to check out my newest content every Tuesday and Thursday,
I've experienced a strange sense of satisfaction after understanding your explanation. It's the same (or a similar) sense of satisfaction and order that I feel when (for example) my room has been messy for a while and then I clean it all up. It isn't like when I solve a sudoku, for instance, even though solving a sudoku and understanding a math concept should be more related than a cleaned up room and math. Very interesting. Thank you! You've earned a new subscriber.
So basically, multiplying by the reciprocal makes sure that the denominator of the complex fraction is 1. After that, you multiply the numerator of the complex fraction as usual (that is, numerator times numerator and denominator times denominator). Thanks for the clear explanation, Mr. Speller. You've earned a new subscriber. Keep up the good work. Do you plan on making any SAT Math prep videos?
Yes, you summed that up perfectly. You're welcome. As we speak, I do not have plans for SAT Math prep tutorials. I have so many other grade school basics that I hope to start covering soon.
So basically, when you divide fractions, you're simplifying the equation by multiplying the equation by the reciprocal of the (second) fraction. For example, (4/9)/(2/3) = [(3/2)*(4/9)]/[(2/3)*(3/2)], and since you can simplify (2/3)*(3/2) because (2/3)*(3/2) = 1, what you're left with is [(3/2)*(4/9)]/1, which is the same as if you had written (4/9)*(3/2) to begin with (ie as if you had skipped all intermediary steps and had just multiplied the first fraction by the reciprocal of the second one to begin with).
AH. Ah HAH. That's why. It's dimensional analysis with numbers instead of units. And now I understand why this other weird conversion thingy in university works and can finally move on with my day. Thank you for saving my sanity from the school of "thing just work, move on."
@@SpellerMathTutorials It's not that you weren't clear, quite the opposite. It's that I have a hard time visualizing the concept in my mind of fractions as a fraction divided by another fraction by multiplying by the reciprocal, but each different approach that I see it becomes more and more clear. It helps me when I try to represent a fraction division graphically on a sheet.
Hi.. we have to have various methods to manipulate numbers. We add, subtract, divide and multiply all types of numbers for many reasons. Some reasons are everyday life altering recipes, accounting and making purchases. Other reasons are more science or engineering based.
So basically fractions breaks all of the rules for math. It's no wonder why I only memorized it when needed and need to be taught every time I use it again
This doesn’t really explain why. Its a demonstration of a conventional process. How would this be visualized or explained with manipulatives? The mental image is that a divided amount is being made larger in order to multiply to get a smaller amount within a larger whole.
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Thanks for watching this clip for more related information please take a look at this playlist, th-cam.com/play/PLsX0tNIJwRTze0CGfU9VGZUJrDHYk63nI.html
Thx IT MAKES MY TEST EASY NOW :)
Thanks for letting me know. I am glad that I could help.
Mr. Speller, we were just trying to help our daughter with dividing fractions, and we realized that we knew THAT we were supposed to multiply by the reciprocal, but we didn't know WHY. I always just did it, because I was told to do it, and it gave me the right answer. My husband likes to know WHY, and he failed math classes, because of the confusion and frustration caused by "just do it" math teachers. We were both SO relieved to find this clear tutorial on the why. It helped him not feel like he was dumb all those years for asking why, and it helped me and our daughter fully understand too. You rock! Thanks so much!
Thank you for the thoughtful comment. I am glad I could add some clarity. Finding out why removes some of the "magic" from math which can be very helpful to a lot of students like your husband. I was more of a student like you and just did it cause "Ms. Danielson", my middle school teacher, said so. lol. Have a great day!
Fantastic explanation! Now, after finishing university i understand this also on conceptual level :D
Thanks. So glad I could help.
I wish ALL teachers would explain this well to their students!!
Glad I could help. Have a great day!
Always wondered this. Very simple, easy, to understand explanation. Thank you👍
Glad I could help!
This is a fantastic explanation!
Thank you. Glad that I could help!
Excellent explanation. Thank You !!
You're welcome!
Hands down the most elegant explanation. There are other videos that explain the concept through graphical representation however this video shows the arithmetic proof. I never thought to question why we multiply reciprocals to divide fractions - I just did so because my 4th grade teacher told me to.
Thanks. I had a middle school student ask me that question years ago. I was determined to get that student the answer and to explain it so that they could really understand the process. Glad that you enjoyed the explanation as well. Have a great weekend! Please be sure to check out my newest content every Tuesday and Thursday,
Speller Math Tutorials we need more teachers like you. Thank you! Subbed!
I never write comments. This was an excellent and clear tutorial. Keep them coming. You have a new subscriber. Thank you so much!
You're welcome. And thank you!
I've experienced a strange sense of satisfaction after understanding your explanation. It's the same (or a similar) sense of satisfaction and order that I feel when (for example) my room has been messy for a while and then I clean it all up. It isn't like when I solve a sudoku, for instance, even though solving a sudoku and understanding a math concept should be more related than a cleaned up room and math. Very interesting. Thank you! You've earned a new subscriber.
Thanks for the comment. Glad I could help.
So basically, multiplying by the reciprocal makes sure that the denominator of the complex fraction is 1. After that, you multiply the numerator of the complex fraction as usual (that is, numerator times numerator and denominator times denominator). Thanks for the clear explanation, Mr. Speller. You've earned a new subscriber. Keep up the good work. Do you plan on making any SAT Math prep videos?
Yes, you summed that up perfectly. You're welcome. As we speak, I do not have plans for SAT Math prep tutorials. I have so many other grade school basics that I hope to start covering soon.
@@SpellerMathTutorials OMG, didn't think you'd reply! That's alright, looking forward to the videos. Have a great day, Mr. Speller.
this was so helpful to an eighth grader, thanks!!
Glad I could help!
Holy shit, I just completed multivariable calculus and I still never thought of it that way. Thanks!
Thanks for the comment. Glad I could help.
@@SpellerMathTutorials Of course. I'm currently tutoring students in math and I'll be sure to check out more of your videos to aid me.
Why did u say bad word?
@@YoufPlayz My bad, but I used it in a non-threatening way.
thank you bro thank you, no one was explaining WHY but finally you made me understand. god bless dude
Glad I could help.
Finally an explanation I can understand
Glad that I could help. Please subscribe to the channel.
Brilliant! Thanks!
Glad I could help.
Thank you, I appreciate that you made this video.
Glad I could help.
Awesome thanks man this video was very helpful
Great, glad I could help. Thanks for the comment.
This explanation is better than the 3M one I also got recommended
Thank you. Glad I could help.
You explained really good! Keep it up!
Thanks, I will. Please share with your colleagues. Also please subscribe.
So basically, when you divide fractions, you're simplifying the equation by multiplying the equation by the reciprocal of the (second) fraction. For example,
(4/9)/(2/3) = [(3/2)*(4/9)]/[(2/3)*(3/2)],
and since you can simplify (2/3)*(3/2) because (2/3)*(3/2) = 1, what you're left with is [(3/2)*(4/9)]/1, which is the same as if you had written (4/9)*(3/2) to begin with (ie as if you had skipped all intermediary steps and had just multiplied the first fraction by the reciprocal of the second one to begin with).
Exactly!
@@SpellerMathTutorials Thanks again, now I understand it!
Great video great explanation 👍
Thanks . Glad you liked it!
Seriously I completed my school journey without this knowledge.....😂
Superb explanation 👍👍
Thanks for the comment!
AH. Ah HAH. That's why. It's dimensional analysis with numbers instead of units. And now I understand why this other weird conversion thingy in university works and can finally move on with my day. Thank you for saving my sanity from the school of "thing just work, move on."
Thanks for the comment! I feel the same way. I like to know why & how the 'magic' works!
Yes i learned alot
Glad that you did
@@SpellerMathTutorials my teacher is ms Gillum Rome
I have a question when do we multiply it by recipical? Sorry if u already explained it I didn’t really get it...🙁
You multiply my the reciprocal when you are dividing a fraction by a fraction.
Please watch again and let me know if you still have question(s). Also subscribe if you have not already. Thanks.
thanks man that helps a lot
Great! So glad I could help.
Still I don't grasp it to a full extent but this video helped a lot.
Which part is still unclear? I want to try to make it 100% clear for you.
@@SpellerMathTutorials It's not that you weren't clear, quite the opposite. It's that I have a hard time visualizing the concept in my mind of fractions as a fraction divided by another fraction by multiplying by the reciprocal, but each different approach that I see it becomes more and more clear. It helps me when I try to represent a fraction division graphically on a sheet.
Okay, I have a tutorial that uses models to show how division with fractions works. I will attach it in just a moment.
Here is a link to that clip. I don't particularly like this method but I hope it helps. Let me know. th-cam.com/video/0xNcwO-vvgg/w-d-xo.html
@@SpellerMathTutorials great video. Very Helpful
Y do we multiply and divide fractions?
Hi.. we have to have various methods to manipulate numbers. We add, subtract, divide and multiply all types of numbers for many reasons. Some reasons are everyday life altering recipes, accounting and making purchases. Other reasons are more science or engineering based.
Nice
Great. Glad that you liked it. New content every Tue and Thu @ 8pm EST.
So basically fractions breaks all of the rules for math.
It's no wonder why I only memorized it when needed and need to be taught every time I use it again
Thanks for the comment
My math teacher sent it
Thanks for watching
This doesn’t really explain why. Its a demonstration of a conventional process. How would this be visualized or explained with manipulatives?
The mental image is that a divided amount is being made larger in order to multiply to get a smaller amount within a larger whole.
Thanks for the comment.
@@SpellerMathTutorials You’re welcome
You might find the tutorial using a graphical representation of dividing fractions helpful. th-cam.com/video/0xNcwO-vvgg/w-d-xo.html
Noice