Dividing Fractions

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Dividing Fractions

• A Visual Lesson

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Some of you know what to do

• BUT most of you dont know why.

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True or False

• When you multiply a number by another number,
  your product will always be larger than your
  factors.

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Multiplication with Whole Numbers
4 sets of 3
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Multiplication with Fractions







of
X

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True or False

• When you divide a number by another number, your
  quotient will always be smaller than your
  dividend.

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Division with Whole Numbers
3
?
6 ? 2 ?
How many sets of 2 fit into 6?
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Division with Fractions
1
2
3
4
How many 1/2s go into 2/3?
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True or False
False
False

• When you multiply a number by another number,
  your product will always be larger than your
  factors.

• When you divide a number by another number, your
  quotient will always be smaller than your
  dividend.

10
?
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How many 1/8s make a 1/4?
1
2
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Division as Equivalent Fractions

• Another thing you could do is ask yourself
• How many 1/8 parts make up 1/4?

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?
x
14
x
?
8 ? 4
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Need Proof?
?
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1
x
x
x
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x
x
x
1
x
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Think of it like this...
You have half a carton of eggs. How many of
the eggs (each egg is 1/12 of the cartoon) can
you fit into half a carton of eggs?


1/2 ? 1/12 6
OR
1/2 12/1 12/2 6
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Division as Equivalent Fractions

• Another thing you could do is ask yourself
• How many 1/12 parts make up 1/2?