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Get Full AccessDividing Fractions by Fractions
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What you will learn from this videoWhat you will learn
 We'll learn how to divide fractions by fractions.
 We will also learn how to divide mixed numbers by mixed numbers.
 And we will see how this knowledge can help us throw a party, go for a run, and even make our own clothes!

Discussion Questions
Before Video
What happens if you divide 1 pie by 4? What happens if you divide it by [ggfrac]1/4[/ggfrac]?ANSWERIf I divide 1 by 4, I am sharing 1 pie among 4 people, and each person gets [ggfrac]1/4[/ggfrac] of the pie. If I divide a pie by [ggfrac]1/4[/ggfrac], then I want to know how many [ggfrac]1/4[/ggfrac]sized pieces there are in the pie. There are 4.
To multiply fractions, I multiply the numerators together and multiply the denominators together. Therefore, [ggfrac]1/4[/ggfrac] x [ggfrac]5/6[/ggfrac] = [ggfrac]5/24[/ggfrac].
I want to know how many groups of [ggfrac]2/3[/ggfrac] there are in 4 wholes. If I draw a model of the problem, I split each of 4 whole circles into 3 equal parts, and put 2 of those parts into each group. I count 6 groups of [ggfrac]2/3[/ggfrac]. Therefore 4 ÷ [ggfrac]2/3[/ggfrac] = 6. If I multiply 4 x [ggfrac]3/2[/ggfrac], I get [ggfrac]12/2[/ggfrac] = 6, so 4 ÷ [ggfrac]2/3[/ggfrac] is the same as 4 x [ggfrac]3/2[/ggfrac]. I keep the first number the same, change the operation to multiplication, and flip the fraction.
My answer is more than 3. If I divide by a number that is less than 1, that means I am making many little pieces and I want to know how many groups there are. If I divide 3 wholes into pieces of size [ggfrac]1/5[/ggfrac], I count 15 groups of [ggfrac]1/5[/ggfrac].
I can split 2 into fourths as indicated in the denominator, 4. So each of the 2 wholes is split into 4. I have 8 fourths, plus the 3 fourths from [ggfrac]3/4[/ggfrac]. In total, there are 11 fourths, so 2[ggfrac]3/4[/ggfrac] = [ggfrac]11/4[/ggfrac].
After Video
How can you turn [ggfrac]3/4[/ggfrac] ÷ [ggfrac]1/2[/ggfrac] into a multiplication problem?ANSWERI change the operation to multiplication and flip the second fraction. [ggfrac]3/4[/ggfrac] ÷ [ggfrac]1/2[/ggfrac] = [ggfrac]3/4[/ggfrac] x [ggfrac]2/1[/ggfrac].
No, I must keep the first fraction the same and flip the second fraction. The first fraction tells how much I have, and the second fraction tells the size of the groups I am trying to make.
No! To solve [ggfrac]3/4[/ggfrac] ÷ [ggfrac]1/2[/ggfrac], I want to know how many onehalfsized pieces there are in threefourths. [ggfrac]3/4[/ggfrac] ÷ [ggfrac]1/2[/ggfrac] = [ggfrac]3/4[/ggfrac] x [ggfrac]2/1[/ggfrac] = [ggfrac]3/2[/ggfrac] = 1[ggfrac]1/2[/ggfrac]. To solve [ggfrac]1/2[/ggfrac] ÷ [ggfrac]3/4[/ggfrac], I want to know how many threefourthsized pieces there are in one half. [ggfrac]1/2[/ggfrac] ÷ [ggfrac]3/4[/ggfrac] = [ggfrac]1/2[/ggfrac] x [ggfrac]4/3[/ggfrac] = [ggfrac]2/3[/ggfrac]. I get two very different answers!
I need to turn 1[ggfrac]3/5[/ggfrac] into a mixed number. 1[ggfrac]3/5[/ggfrac] = [ggfrac]8/5[/ggfrac].
It should be less than [ggfrac]1/2[/ggfrac], because the number that I am dividing by, 1[ggfrac]3/5[/ggfrac] or [ggfrac]8/5[/ggfrac], is greater than 1.

Vocabulary
 Fraction DEFINE
A number that expresses equal parts of a whole.
 Numerator DEFINE
The number on the top of the fraction, which tells us how many parts of the whole we have.
 Denominator DEFINE
The number on the bottom of the fraction, which tells us how many equal parts the whole has been cut into.
 Mixed number DEFINE
A number that combines whole numbers and fractions.
 Simplify DEFINE
Express a fraction using the smallest numbers possible, without changing the amount that the fraction represents.
 KeepChangeFlip DEFINE
A method that helps us remember how to change a division problem into a multiplication problem.
 Fraction DEFINE

Reading Material

Practice Word Problems

Practice Number Problems

Lesson Plan

Teacher Guide