is there another method to do this

(Prepare for a long answer) Srivish, To answer your question, there IS another way to solve it. Cross multiplication. Here are some steps to help solve it 1: First take your Equation, and if you've already written an answer. Erase it, then write a new set of brackets to have your fractions in. 2: Secondly, take your equation. Let's ignore that division sign for now. So you have your two pairs of fractions, Correct? 3: TO do this, you will have to multiply a bit. First, take the numerator of your first fraction, and multiply it with the denominator of the second Fraction. This will turn into your new Numerator. Now cross off the fractions you just used. 4: Following this, Take your remaining fractions and multiply. This will turn into your new denominator. And complete your answer. However, if your Equation with variables, such as X, the whole question will change. In order to adapt to this, you will have to change the way you solve it. Here is a link detailing how to. https://www.wikihow.com/Cross-Multiply Hope this helps!

at 0.29 i didn't understand why we flipped it

Because dividing is the same thing as multiplying by the reciprocal of a number. A reciprocal is basically just a number flipped upside down. Example: 4 ÷ 2 is the same thing as 4 * 1/2.

How the _heck_ does a reciprocal even work?! I'm mind blown. Can somebody tell me why?

A reciprocal is the complete opposite of a fraction. you reverse the numerator and the denominator. It is used in division fraction. (i don't know why)

how do you know when to cross multiply

when it says 2 fractions with a multiplication sign next to it. eg: 2/3 X 5/3 is when to cross multiply. :)

how do you multiply a fraction once its reached it max and has to become a whole fraction

we can divide it as 11/3 as this is also reached its max but it can be divided and answer in decimal or fraction there are many numbers which we have to divide and w get stuck in the same problem but it is not possible that a number in lowest term cannnot be divided we will get the answer but it will be in decimal and that is why decimals are made . for eg 23/2=11.5 29/2=14.5

I'm confused for when to simplify. I cut the numbers in half as much as I can. but when I get my answer it is wrong

Sometimes you can't just keep cutting the numbers in half. If you get a decimal you should probably divide it by another number. An example would be 18/33. If you split it in half, then the fraction would be 9/16.5, and that is not a correct fraction. You would have to divide it by 3, and that would get you 6/11, which is equal to 18/33. 6/11 is the lowest that you can simplify to, so that is your answer. Hope this helps! #YouKhanLearnAnything

Do you still have to do the extra math to the side to get the actual answer.

not if you feel like torchuring yourself lol (no seriously, if you dont, it'll take forever to do it).

Main content

6th grade (Illustrative Mathematics)

Unit 4: Lesson 3

Lesson 11: Using an algorithm to divide fractions

Dividing fractions: 2/5 ÷ 7/3

Name: Dividing fractions: 2/5 ÷ 7/3
Uploaded: 2013-12-27T20:42:57Z
Description: Learn to divide two fractions. The answer is a fraction.

CCSS.Math:

6.NS.A.1

Google Classroom

Learn to divide two fractions. The answer is a fraction. Created by Sal Khan.

Sort by:

Want to join the conversation?

e661brown
Posted 2 years ago. Direct link to e661brown's post “can khan academy become d...”
can khan academy become drawing academy instesd so we can just take a brake from school
(18 votes)
Answer
yehhh
Posted 5 years ago. Direct link to yehhh's post “is there another method t...”
is there another method to do this
(8 votes)
Answer
- Leon Tong
  Posted 4 years ago. Direct link to Leon Tong's post “(Prepare for a long answe...”
  (Prepare for a long answer) Srivish, To answer your question, there IS another way to solve it. Cross multiplication. Here are some steps to help solve it
  1: First take your Equation, and if you've already written an answer. Erase it, then write a new set of brackets to have your fractions in.
  2: Secondly, take your equation. Let's ignore that division sign for now. So you have your two pairs of fractions, Correct?
  3: TO do this, you will have to multiply a bit. First, take the numerator of your first fraction, and multiply it with the denominator of the second Fraction. This will turn into your new Numerator. Now cross off the fractions you just used.
  4: Following this, Take your remaining fractions and multiply. This will turn into your new denominator. And complete your answer.
  
  However, if your Equation with variables, such as X, the whole question will change. In order to adapt to this, you will have to change the way you solve it. Here is a link detailing how to.
  https://www.wikihow.com/Cross-Multiply
  Hope this helps!
  (18 votes)
sarathomsen24
Posted 5 years ago. Direct link to sarathomsen24's post “at 0.29 i didn't understa...”
at 0.29 i didn't understand why we flipped it
(8 votes)
Answer
- [sobbing mathematically]
  Posted 5 years ago. Direct link to [sobbing mathematically]'s post “Because dividing is the s...”
  Because dividing is the same thing as multiplying by the reciprocal of a number. A reciprocal is basically just a number flipped upside down. Example: 4 ÷ 2 is the same thing as 4 * 1/2.
  (6 votes)
Riley Kirshtner
Posted 3 years ago. Direct link to Riley Kirshtner's post “How the _heck_ does a rec...”
How the heck does a reciprocal even work?! I'm mind blown. Can somebody tell me why?
(6 votes)
Answer
- Thomas Nguyen
  Posted 3 years ago. Direct link to Thomas Nguyen's post “A reciprocal is the compl...”
  A reciprocal is the complete opposite of a fraction. you reverse the numerator and the denominator. It is used in division fraction. (i don't know why)
  (2 votes)
parkerc3
Posted 4 years ago. Direct link to parkerc3's post “Do you still have to do t...”
Do you still have to do the extra math to the side to get the actual answer.
(1 vote)
Answer
- vinc3e
  Posted 3 years ago. Direct link to vinc3e's post “not if you feel like torc...”
  not if you feel like torchuring yourself lol (no seriously, if you dont, it'll take forever to do it).
  (9 votes)
jay.delorenzo
Posted 4 years ago. Direct link to jay.delorenzo's post “how do you know when to c...”
how do you know when to cross multiply
(3 votes)
Answer
- vinc3e
  Posted 3 years ago. Direct link to vinc3e's post “when it says 2 fractions ...”
  when it says 2 fractions with a multiplication sign next to it. eg: 2/3 X 5/3 is when to cross multiply. :)
  (2 votes)
hirt promise
Posted 8 years ago. Direct link to hirt promise's post “I don't get it how do you...”
I don't get it how do you divid fractions
(3 votes)
Answer
- Alexis
  Posted 3 years ago. Direct link to Alexis's post “you can just take the fra...”
  you can just take the fraction on the right and switch the two numbers around (so the numerator becomes the denominator and the denominator becomes the numerator) then just multiply the two fractions and you have your answer!
  (1 vote)
mrranawaqas
Posted 7 years ago. Direct link to mrranawaqas's post “how do you multiply a fra...”
how do you multiply a fraction once its reached it max and has to become a whole fraction
(2 votes)
Answer
- sanah
  Posted 7 years ago. Direct link to sanah's post “we can divide it as 11/3...”
  we can divide it as
  11/3
  as this is also reached its max but it can be divided and answer in decimal or fraction
  there are many numbers which we have to divide and w get stuck in the same problem but it is not possible that a number in lowest term cannnot be divided we will get the answer but it will be in decimal and that is why decimals are made .
  for eg 23/2=11.5
  29/2=14.5
  (3 votes)
shouryapatankar09
Posted 2 years ago. Direct link to shouryapatankar09's post “can you just divide first...”
can you just divide first then multipy
(3 votes)
Answer
MARCELC
Posted a year ago. Direct link to MARCELC's post “I'm confused for when to ...”
I'm confused for when to simplify. I cut the numbers in half as much as I can. but when I get my answer it is wrong
(2 votes)
Answer
- BlackmoonTheDragon
  Posted 4 months ago. Direct link to BlackmoonTheDragon's post “Sometimes you can't just ...”
  Sometimes you can't just keep cutting the numbers in half. If you get a decimal you should probably divide it by another number.
  
  An example would be 18/33. If you split it in half, then the fraction would be 9/16.5, and that is not a correct fraction. You would have to divide it by 3, and that would get you 6/11, which is equal to 18/33. 6/11 is the lowest that you can simplify to, so that is your answer.
  
  Hope this helps!
  
  #YouKhanLearnAnything
  (2 votes)

Video transcript

So let's calculate what 2/5 divided by 7/3 is, and I encourage you to pause this video and try to calculate this on your own. Well we just have to remind ourselves that this is going to be the exact same thing as 2 over 5 times the reciprocal of 7/3, which is 3 over 7. And then multiplying two fractions is pretty straightforward. This is just going to be equal to the product of the numerators. So 2 times 3 over the product of the denominators, over 5 times 7-- I'm trying to keep the colors consistent-- which of course is going to be equal to 2 times 3 is equal to 6. And 5 times 7-- I'll do this in a new color, let's see, I haven't used this shade of blue yet-- 5 times 7 of course is equal to 35. So this is equal to 6/35.

Creative Commons Attribution/Non-Commercial/Share-Alike Video on YouTube