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Dividing Fractions

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Dividing Fractions What does 4 2 mean in words? Justify your reasoning by using a model or a drawing. how many groups of 2 are in 4? – PowerPoint PPT presentation

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Title: Dividing Fractions


1
DIVIDING FRACTIONS
2
Dividing Fractions
  • What does 4 2 mean in words? Justify your
    reasoning by using a model or a drawing.

how many groups of 2 are in
4?



There are 2 groups of 2 in 4, therefore 4 2 2
3
Example 1
  • What does 3/4 2/3 mean in words?

(How many groups of 2/3 are in 3/4)?
4
Example 13/4 2/3
  • When dividing fractions, the denominators are
    still the dimensions of the arrays!

Model a 4 by 3 array for each fraction.









5
Example 13/4 2/3
2/3
3/4
Find out how many groups of 2/3 (8 units) are in
3/4 (9 units)









There is 1 whole group of 8 and one more left out
of another group of 8 1 1/8
Is equivalent to 9/12
Is equivalent to 8/12
6
3/4 2/3
2/3
3/4









Is equivalent to 9/12
Is equivalent to 8/12
7
Example 21/2 1/3
1/3
1/2
Find out how many groups of 1/3 (2 units) are in
1/2 (3 units)





Is equivalent to 3/6
Is equivalent to 2/6
There is 1 whole group of 2 and one more left out
of another group of 2 1 1/2
8
1/2 1/3
1/3
1/2





Is equivalent to 3/6
Is equivalent to 2/6
9
Example 32/3 3/4
3/4
2/3
Find out how many groups of 3/4 (9 units) are in
2/3 (8 units)







YOU CANT GET A WHOLE GROUP OF 9 UNITS!
Is equivalent to 8/12
Is equivalent to 9/12
There are only 8 out of a group of 9, so the
quotient is 8/9
10
2/3 3/4
3/4
2/3







Is equivalent to 8/12
Is equivalent to 9/12
11
Guided PracticeSKETCH and SOLVE by using area
model arrays
  • 1. 1/2 1/4
  • 2. 1/2 2/3
  • 3. 2/3 1/2
  • 4. 2/3 1/4
  • 5. 2/5 5/6
  • 6. 1/2 1/5

Test Friday!
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