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Course: Arithmetic (all content)>Unit 5

Lesson 24: Fractions as division

Creating a fraction through division

In this video, we'll learn about the relationship between division and multiplication using fractions. Watch how dividing by a number is the same as multiplying by its reciprocal. Then watch as Sal practices this concept using a fun, everyday example. Created by Sal Khan.

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• No matter how many times fractions are explained to me I can't get it to click in my head.
So when you are dividing a number by a number smaller than itself, does the product represent how many sections of the whole you have?
How does changing the division sign to a times sign, and flipping the fraction express the same thing?
• I feel you I can never understand fractions as decimals.
• is the 3/4 equation always like that? Please explain.
• 3/4 really just means 3 divided by 4. Just like 1/4 means one divided by four. I like to use money as an example. If you have a one dollar bill and give it to your sister for "quarters" you get back four quarters. Another way to write that is 4/4 or four fourths of a dollar. If you reduce 4/4 to lowest terms by dividing the top and the bottom by four you get 1/1 which is just 1 - one dollar. Did that help?
• I love fraction and my teacher says to leave the first faction alone here is and example 2/6 divided by 1/6 so the multiplication is 2/6 times 6/1.
• Wouldn't it be 3/6 not 3/2?
• i know that this is an old question and you probably got the hang of it by now, but just in case someone else has the same problem - it is 3/6 of a whole, which is 3 bars, but a single bar represents one whole. so 3/2 here means that we have 3 halves of a bar of soap.
(1 vote)
• if you have 5/14-6/28 how is that possible? p.s that is one thing I learned. please explain.
• first turn 5/14 into 10/28 by multiplying 5 and 14 by 2. then you will get 10/28. after that you should subtract 6/28 from 10/28 and get 4/28. finally you simplify 4/28 by dividing it by 4 and you get the answer 1/7
• Why is 3 x 1/2 =3/2 and not 7/2? I don't understand. EDIT: So I learned that the whole number which is 3 goes over the number being divided so it would equal 3/2.
• Imagine you have a 50 cent coin🪙. Your coin is worth 1/2 a dollar💵, right?
Now, you receive 2 more 50 cent coins for working so hard on math. You have 3 different 50 cent coins now.
Now I'm going to repeat that each coin is worth 1/2 a dollar, or ONE-half of a dollar. Since you have THREE coins, or THREE one-halves of a dollar, you have THREE-halves of a dollar or three over two (3/2).
• Guys there is also a method you can use ( KFC )
Keep the first number,
Flip the 2nd number ( example: 6 turn it into 1/6 )
Change division into multiplication
• Actually it's (kcf) you go that goofy!
(1 vote)
• In dont understand this s