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### Course: Math (NSDC) - English>Unit 3

Lesson 9: Dividing fractions

# Understanding fractions as division

In this video, we learn about the relationship between multiplication and division. Let's watch how they can undo each other. We can understand this concept with whole numbers and fractions. Created by Sal Khan.

## Want to join the conversation?

• so we can do division or multiplecarion
• yes you can
(1 vote)
• If you still don't understand how to divide fractions. I will show you. There are 3 steps.
So say you were doing 1/3 divided by 6 or 6 divided by a third.
We will do 1/3 divided by 6 first.
Step 1: Keep the number 1/3
Step 2: Switch the division symbol to multiplication
Step 3: Find the reciprocal of 6. And its 1/6 so 1/3 times 1/6 is 1/18. Sometimes you need to simplify.
Now 6 divided by 1/3
Keep 6.
Turn to muliplication
Switch 1/3 to 3/1
its easier as 6/1x3/1 and that's 18/1 which can be reduced to 18
Hope this helped
• Bruh what I want to know is how to divide a fraction with a fraction that has a different denominator.
• So multiplying fractions is the almost same as dividing them?
• In a way, yes. However, when we divide fractions, we need to do the extra step of flipping the second fraction before multiplyIng the numerators together and multiplying the denominators together.

Have a blessed, wonderful day!
• Ok so question! I want to find (3/4) / (7/8) = x. Now the initial 3/4 = 0.75 and 7/8 = 0.875 then take 0.75 / 0.875 = 0.857 (rounding) then it becomes 857/1000 <- what is the best way of finding out 857/1000 in its simplest form aside from rounding.

Another question so (3/4) / 7 = x. becomes 0.6 / 7 = 0.086 (rounding) 86/1000 simplified = 43/500? (Then once again how do I know I have found the lowest simplified form)
• you're really overcomplicating it, just mutiply their denomiators by eachother to get a common whole. whatever you had to mutiply by to get that number from the previous denomiator is how much you mutiply numerator. now you have equal fractions, and you can divide or mutiply them easily.
• Any tips? I would love that please! I still cant do it myself.
• Swap the numerator and the denominator, (the top and bottom numbers in a fraction) on the second fraction. WHATEVER YOU DO, DO NOT DO IT FOR THE FIRST FRACTION. For example, 1/2 x 3/9, so it would be re-written as 1/2 x 9/3, and then you just multiply it, which would be 9/6, and then, you divide the numerator by the denominator, so just think, "how many times can 6 go into 9? And how much is left over?" So, if you were to do that, the answer would be 1 3/9, which, by the way, was you second fraction that you swapped. And, if you know how to, then you would simplify, and your final answer would be 1 1/3. (Oh, and by the way, the word for swapping the numerator and the denominator is called recipricals. So if you ever see that word in a test or a math question, then you know what it is.
• Sam'' it actually makes a lot of sense with fractions'' Me '' Bro what is 2 times 4?''
• that was boring and easy to understand
• if you have infinity forths how would you divide it
• You can't. Infinity is a concept. For the people who will try to correct me and say it's a number, it's not. Either way, if it was a number, you can't divide it. Dividing something that's endless will end in an endless number. If you say "what about infinite/infinite", remember, it's a concept. Have a great 6th grade!
• sal khan on top
• How do you divide 1 into 3? I know it will equal a fraction but I don't know how it becomes a fraction. That is the only part that I don't understand in the video.
• Fractions represent literally the top number (numerator) divided by the bottom number (denominator). 1 divided by 3 is equivalent to 1/3. In this fraction, 1, the numerator, is 'over' or being divided by 3, the denominator.