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Today we will compute simple division of fractions.

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Today we will compute simple division of fractions. Compute= calculate or work out But First let s review what we ve already learned! When multiplying fractions ... – PowerPoint PPT presentation

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Title: Today we will compute simple division of fractions.


1
Today we will compute simple division of
fractions.
Compute calculate or work out But First lets
review what weve already learned!
2
Remember that when multiplying fractions
  • When multiplying fractions, they do NOT need to
    have a common denominator.
  • To multiply two (or more) fractions, multiply
    across, numerator by numerator and denominator by
    denominator.
  • If the answer can be simplified, then simplify
    it.
  • Example
  • Example

3
Equivalent Fractions
  • Name the same amount but have different
    numerators and denominators.

1
2
1
1

4
2
4
2
1
4
4
Equivalent Fractions
  • Are sometimes called equal fractions two
    or more fractions that name the same number.

1
2
1
1

4
2
4
2
1
4
5
Equivalent Fraction Models
1
2
3


2
4
6
6
Simplifying
Reduce



10 Greatest Common Factor
Write the numerator and denominator as a product
of factors, then cancel common factors and obtain
the result.
7
Simplifying




Write the numerator and denominator as a product
of common factors then cancel the common factors
and obtain the result.
Repeat the simplification process until all
common factors are removed.
8
Converting Mixed Numbers
1
1
5
5
3
3
3
3

16

3
Multiply the whole number by the denominator
Add the numerator to the result
Place over the initial denominator
Compute the final result
9
Converting Mixed Numbers
2
2
6
6
9
9
9
9

56

9
Multiply the whole number by the denominator
Add the numerator to the result
Place over the initial denominator
Compute the final result
10
Lets think about what dividing fractions means.
In this expression it means How many one
eighths are in three fourths?
For example, how many one eighth slices of pizza
are in three fourths of a pizza?
11
How many one eighths are in three fourths?
To find this we must first find 3/4 of the pizza.
We then cut each fourth into halves to make
eighths.
We can see there are 6 eighths in three fourths.
12
EXAMPLE 1
How many one eighths are in one half?
Using a fraction manipulative, we show one half
of a circle.
To find how many one eighths are in one half, we
cover the one half with eighths and count how
many we use.
We find there are 4. There are four one eighths
in one half.
13
Dividing Fractions
  • When dividing fractions, they do NOT need to have
    a common denominator.
  • To divide two fractions, change the operation to
    multiply and take the reciprocal of the second
    fraction (flip the second fraction).
    Keep-Change-Change.

14
Dividing Fractions
  • Finish the problem by following the rules for
    multiplying fractions.

15
Dividing Fractions
Ex) Divide.
16
Dividing Fractions
Ex) Divide.
17
Dividing Fractions
Ex) Divide. Invert and Multiply !
18
Dividing Fractions
Ex) Divide. 15 and 5 have a common
factor.
19
Dividing Fractions
Ex) Divide. Divide them both by 5.
20
Dividing Fractions
Ex) Divide.
21
Dividing Fractions
Ex) Divide. 22 and 6 have a
common factor.
22
Dividing Fractions
Ex) Divide. Divide them both by
2.
23
Dividing Fractions
Ex) Divide. Divide them both by
2.
24
Dividing Fractions
Ex) Divide.
25
Dividing Fractions
Ex) Divide.
26
It is important to know how to compute simple
division of fractions because...
  • You will need to know it for 7th grade math!
  • You will need it for the CSTs!
  • Why else is it important?

27
What weve learned!
  • How do you reduced fractions? Do you use the LCM
    or the GCF?
  • What does compute mean?
  • What happens if you need to multiply or divide
    fractions and the number is mixed?
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