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Lesson 6: 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.

## Want to join the conversation?

• 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.
• 2 equal groups, WHAT THAT LOOKS SO UNEVEN
• 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.
• You could also say he has 1.5 bars of soap, right?
• wait so 1/2 can mean 1 divided by 2? why am i just now learning that?
• Yes it is indeed true that 1/2 is 1 divided by 2 (or 2 into 1). In general, the fraction a/b means a divided by b (or b into a). Every fraction is really the result of a division problem! This is an important concept to understand about fractions.

Have a blessed, wonderful day!
• does the video show u a easy way to divide ur fractions
• Not so sure… but I do have an easy way to divide your fractions! it’s called KCF Keep Change Flip. You keep the fraction on the left hand side, change the division sign to multiplication, and then flip the number to your right hand side for example: 5/6 ➗ 7/10 would change in to 5/6 ✖️10/7. Then you solve from there. Hope this helped

-Hopper