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Dividing fractions: 2/5 ÷ 7/3

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

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  • aqualine tree style avatar for user e661brown
    can khan academy become drawing academy instesd so we can just take a brake from school
    (18 votes)
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  • male robot hal style avatar for user yehhh
    is there another method to do this
    (8 votes)
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    • male robot hal style avatar for user Leon Tong
      (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)
  • female robot ada style avatar for user sarathomsen24
    at 0.29 i didn't understand why we flipped it
    (8 votes)
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  • piceratops sapling style avatar for user Riley Kirshtner
    How the heck does a reciprocal even work?! I'm mind blown. Can somebody tell me why?
    (6 votes)
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  • leaf blue style avatar for user parkerc3
    Do you still have to do the extra math to the side to get the actual answer.
    (1 vote)
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  • blobby green style avatar for user jay.delorenzo
    how do you know when to cross multiply
    (3 votes)
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  • old spice man green style avatar for user hirt promise
    I don't get it how do you divid fractions
    (3 votes)
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    • starky tree style avatar for user Alexis
      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)
  • mr pants teal style avatar for user mrranawaqas
    how do you multiply a fraction once its reached it max and has to become a whole fraction
    (2 votes)
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    • spunky sam blue style avatar for user sanah
      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)
  • blobby green style avatar for user shouryapatankar09
    can you just divide first then multipy
    (3 votes)
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  • starky seedling style avatar for user MARCELC
    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)
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    • piceratops ultimate style avatar for user BlackmoonTheDragon
      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.