Title: Fractions
1Fractions
Level F
Reminder and Mixed Fractions
Add Subtract basic Fractions
Add Sub Harder Fractions
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Multiplying Fractions
Dividing Fractions
2Level F Starter
Level F
X
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3Mixed Fractions
Level F
Learning Intention
Success Criteria
 To know what the terms fraction, topheavy and
mixed fraction are.
 To understand the
 term Fraction and Mixed Fraction.
 Convert between topheavy and mixed fraction.
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 Solve problems involving fractions.
4Fraction Reminder
Level F
A Fraction consists of 2 parts.
Top number called the NUMERATOR
Bottom number called the DENOMINATOR
5Fractions
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
6Fractions
Level F
7Top Heavy to Mixed
Level F
means seven thirds
8Top Heavy to Mixed
Level F
NUMERATOR ? DENOMINATOR
can be written as 7 ? 3
9Top Heavy to Mixed
Level F
NUMERATOR ? DENOMINATOR
can be written as 17 ? 5
10Mixed to Top Heavy
Level F
WHOLE NUMBER ? DENOMINATOR then add NUMERATOR
Changing a mixed fraction to a topheavy.
5 ? 4 ? 3
? 23 quarters
7 ? 5 ? 2
? 37 fifths
11Mixed Fractions
Level F
Now try Exercise 1 Ch31 (page 128)
12Level F Starter Questions
Level F
5cm
7cm
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13Add / Sub Fractions
Level F
Learning Intention
Success Criteria
 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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 To be able to do simple fraction calculations.
14Add / Sub Fractions
Level F
You can only add or subtract fractions if
DENOMINATORS ARE THE SAME NUMBER
Example 1
Example 2
15Add Fractions
Level F
When dealing with mixed fractions deal with
whole part first then the fraction part
16Subtract 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)
18Level F Starter Questions
Level F
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19Harder Fractions
Level F
Learning Intention
Success Criteria
 Apply kiss and smile method.
 To understand how to add and subtract fractions
with different denominators.
 Convert top heavy fractions to mixed fractions.
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 Simplify fractions.
20We 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
21Harder Fractions
Level F
2
4
2
2
22Harder Fractions
Level F
6
25

23Harder Fractions
Level F
18
20
2
2
24Harder 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
25Harder Fractions
Level F
4
3
26Harder Fractions
Level F
16
21

27Harder Fractions
Level F
20
18
28Most Difficult Fractions
Level F
8
3

29Most Difficult Fractions
Level F
10
3

30Harder Fractions
Level F
Now try Ex 9.1 9.2 Ch15 (page 360)
31Level F Starter Questions
Level F
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32Multiplying Fractions
Level F
Learning Intention
Success Criteria
 To know the simply rules for multiplying basic
and mixed fractions.
1. To show how to multiply basic and mixed
fractions.
 Calculate fractions.
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33Multiplying Fractions
Level F
Multiply basic fractions
1. Multiply the numerators
2. Multiply the denominators
Example 1
Example 2
34Multiplying Fractions
Level F
Multiplying Mixed Fractions
 Make fractions topheavy
2. Multiply the numerators
3. Multiply the denominators
35Multiplying Fractions
Level F
Example 1
36Multiplying Fractions
Level F
Example 2
37Multiplying Fractions
Level F
Now try Ex 10.1 10.2 Ch15 (page 363)
38Level F Starter Questions
Level F
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39Dividing Fractions
Level F
Learning Intention
Success Criteria
 To know the simply rules for dividing basic and
mixed fractions.
1. To show how to divide basic and mixed
fractions.
 Calculate fractions.
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40Dividing Fractions
Level F
It is almost impossible to divide fractions like
by actually dividing.
Instead we change it into a multiplication by
Always 1
41Dividing Fractions
Level F
Easy rule to remember is
Example 1
Example 2
42Dividing Fractions
Level F
For mixed fractions YOU MUST make them topheavy
first !!
Example 1
43Dividing Fractions
Level F
Example 2
44Dividing Fractions
Level F
Now try Ex 11.1 Ch15 (page 364)