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Fractions

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Dividing Fractions. Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com ... 1. To show how to divide basic and mixed fractions. ... – PowerPoint PPT presentation

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Title: Fractions


1
Fractions
Level F
Reminder and Mixed Fractions
Add Subtract basic Fractions
Add Sub Harder Fractions
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Multiplying Fractions
Dividing Fractions
2
Level F Starter
Level F
X
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3
Mixed Fractions
Level F
Learning Intention
Success Criteria
  1. To know what the terms fraction, top-heavy and
    mixed fraction are.
  • To understand the
  • term Fraction and Mixed Fraction.
  1. Convert between top-heavy and mixed fraction.

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  1. Solve problems involving fractions.

4
Fraction Reminder
Level F
A Fraction consists of 2 parts.
Top number called the NUMERATOR
Bottom number called the DENOMINATOR
5
Fractions
Level F
We can sometimes simplify a fraction by
dividing by the HCF of the numerator and
denominator
F15 1 and 15 3 and 5
F27 1 and 27 3 and 9
6
Fractions
Level F
7
Top Heavy to Mixed
Level F
means seven thirds
8
Top Heavy to Mixed
Level F
NUMERATOR ? DENOMINATOR
can be written as 7 ? 3
9
Top Heavy to Mixed
Level F
NUMERATOR ? DENOMINATOR
can be written as 17 ? 5
10
Mixed to Top Heavy
Level F
WHOLE NUMBER ? DENOMINATOR then add NUMERATOR
Changing a mixed fraction to a top-heavy.
5 ? 4 ? 3
? 23 quarters
7 ? 5 ? 2
? 37 fifths
11
Mixed Fractions
Level F
Now try Exercise 1 Ch31 (page 128)
12
Level F Starter Questions
Level F
5cm
7cm
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13
Add / Sub Fractions
Level F
Learning Intention
Success Criteria
  1. To know that to add and subtract fractions the
    denominators must be the same.
  • To understand how to
  • add and subtract basic fractions.

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  1. To be able to do simple fraction calculations.

14
Add / Sub Fractions
Level F
You can only add or subtract fractions if
DENOMINATORS ARE THE SAME NUMBER
Example 1
Example 2
15
Add Fractions
Level F
When dealing with mixed fractions deal with
whole part first then the fraction part
16
Subtract Fractions
Level F
When dealing with mixed fractions deal with
whole part first then the fraction part
17
Add / Sub Fractions
Level F
Now try Exercise 2 Ch31 (page 131)
18
Level F Starter Questions
Level F
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19
Harder Fractions
Level F
Learning Intention
Success Criteria
  1. Apply kiss and smile method.
  1. To understand how to add and subtract fractions
    with different denominators.
  1. Convert top heavy fractions to mixed fractions.

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  1. Simplify fractions.

20
We are going to use the kiss and smile method
Harder Fractions
Level F
How can we add /subtract fractions that have
different denominators
Step 1 Do the smile
Step 2 Do the kiss
Step 3 Add/Subtract the numerator
and simplify
21
Harder Fractions
Level F
2
4

2
2
22
Harder Fractions
Level F
6
25
-
23
Harder Fractions
Level F
18
20

2
2
24
Harder Fractions
Level F
How can we add /subtract mixed fractions that
have different denominators
Simple !
When dealing with mixed fractions deal with
whole part first then the fraction part
25
Harder Fractions
Level F
4
3

26
Harder Fractions
Level F
16
21
-
27
Harder Fractions
Level F
20
18

28
Most Difficult Fractions
Level F
8
3
-
29
Most Difficult Fractions
Level F
10
3
-
30
Harder Fractions
Level F
Now try Ex 9.1 9.2 Ch15 (page 360)
31
Level F Starter Questions
Level F
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32
Multiplying Fractions
Level F
Learning Intention
Success Criteria
  1. To know the simply rules for multiplying basic
    and mixed fractions.

1. To show how to multiply basic and mixed
fractions.
  1. Calculate fractions.

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33
Multiplying Fractions
Level F
Multiply basic fractions
1. Multiply the numerators
2. Multiply the denominators
Example 1
Example 2
34
Multiplying Fractions
Level F
Multiplying Mixed Fractions
  1. Make fractions top-heavy

2. Multiply the numerators
3. Multiply the denominators
35
Multiplying Fractions
Level F
Example 1
36
Multiplying Fractions
Level F
Example 2
37
Multiplying Fractions
Level F
Now try Ex 10.1 10.2 Ch15 (page 363)
38
Level F Starter Questions
Level F
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39
Dividing Fractions
Level F
Learning Intention
Success Criteria
  1. To know the simply rules for dividing basic and
    mixed fractions.

1. To show how to divide basic and mixed
fractions.
  1. Calculate fractions.

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40
Dividing Fractions
Level F
It is almost impossible to divide fractions like
by actually dividing.
Instead we change it into a multiplication by
Always 1
41
Dividing Fractions
Level F
Easy rule to remember is
Example 1
Example 2
42
Dividing Fractions
Level F
For mixed fractions YOU MUST make them top-heavy
first !!
Example 1
43
Dividing Fractions
Level F
Example 2
44
Dividing Fractions
Level F
Now try Ex 11.1 Ch15 (page 364)
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