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Fractions. Reminder and Mixed Fractions. Add & Subtract basic Fractions. Add & Sub Harder Fractions. www.mathsrevision.com. Multiplying Fractions . Dividing Fractions . Starter. X. www.mathsrevision.com. Mixed Fractions. Learning Intention. Success Criteria.

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fractions

Fractions

Reminder and Mixed Fractions

Add & Subtract basic Fractions

Add & Sub Harder Fractions

www.mathsrevision.com

Multiplying Fractions

Dividing Fractions

Compiled by Mr. Lafferty Maths Dept.

starter

Starter

X

www.mathsrevision.com

Compiled by Mr. Lafferty Maths Dept.

mixed fractions

Mixed Fractions

Learning Intention

Success Criteria

  • Understand what the terms fraction, top-heavy and mixed fraction are.
  • We are learning the
  • term Fraction and Mixed Fraction.
  • Convert between top-heavy and mixed fraction.

www.mathsrevision.com

  • Solve problems involving fractions.

Compiled by Mr. Lafferty Maths Dept.

slide4

Fraction Reminder

MTH 3-07b

MTH 3-07c

MTH 4-07b

A Fraction consists of 2 parts.

Top number called the NUMERATOR

Bottom number called the DENOMINATOR

Compiled by Mr. Lafferty Maths Dept.

slide5

Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

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

Compiled by Mr. Lafferty Maths Dept.

slide6

A fraction, like, where the numerator is bigger

than the denominator is called a ‘Top-Heavy’ fraction.

A number like, consisting of

a ‘wholenumber’ part and a ‘fraction’ part

is called a Mixed fraction

Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

Compiled by Mr. Lafferty Maths Dept.

slide7

Top Heavy to Mixed

MTH 3-07b

MTH 3-07c

MTH 4-07b

means seven thirds

Compiled by Mr. Lafferty Maths Dept.

slide8

remainder 1

Top Heavy to Mixed

MTH 3-07b

MTH 3-07c

MTH 4-07b

NUMERATOR  DENOMINATOR

can be written as 7  3

Compiled by Mr. Lafferty Maths Dept.

slide9

remainder 2

Top Heavy to Mixed

MTH 3-07b

MTH 3-07c

MTH 4-07b

NUMERATOR  DENOMINATOR

can be written as 17  5

Compiled by Mr. Lafferty Maths Dept.

slide10

Mixed to Top Heavy

MTH 3-07b

MTH 3-07c

MTH 4-07b

WHOLE NUMBER  DENOMINATOR

then add NUMERATOR

Changing a mixed fraction to a top-heavy.

5  4  3

 23 quarters

7  5  2

 37 fifths

Compiled by Mr. Lafferty Maths Dept.

slide11

Mixed Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

Now try Exercise 1

Ch31 (page 128)

Compiled by Mr. Lafferty Maths Dept.

starter questions

Starter Questions

5cm

7cm

www.mathsrevision.com

Compiled by Mr. Lafferty Maths Dept.

slide13

Add / Sub Fractions

Learning Intention

Success Criteria

  • Understand that to add and subtract fractions the denominators must be the same.
  • We are learning how to
  • add and subtract basic fractions.

www.mathsrevision.com

  • To be able to do simple fraction calculations.

Compiled by Mr. Lafferty Maths Dept.

slide14

Add / Sub Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

You can only add or subtract fractions if:

DENOMINATORS ARE THE SAME NUMBER

Example 1

Example 2

Compiled by Mr. Lafferty Maths Dept.

slide15

Add Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

When dealing with mixed fractions

deal with ‘whole’ part first then the fraction part

Compiled by Mr. Lafferty Maths Dept.

slide16

Subtract Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

When dealing with mixed fractions

deal with ‘whole’ part first then the fraction part

Compiled by Mr. Lafferty Maths Dept.

slide17

Add / Sub Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

Now try Exercise 2

Ch31 (page 131)

Compiled by Mr. Lafferty Maths Dept.

starter questions18

Starter Questions

www.mathsrevision.com

Compiled by Mr. Lafferty Maths Dept.

harder fractions

Harder Fractions

Learning Intention

Success Criteria

  • Understand and apply rules for adding and subtracting fractions.
  • We are learning how to add and subtract fractions with different denominators.
  • Convert top heavy fractions to mixed fractions.

www.mathsrevision.com

Compiled by Mr. Lafferty Maths Dept.

slide20

Before we can add or subtract they MUST have the same denominator

Harder Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

How can we add or subtract fractions that have

different denominators

Step 1 : Find the LCM for the denominators

Step 2 : Convert to equivalent fractions

Step 3 : Add or Subtract the numerator

and simplify

Compiled by Mr. Lafferty Maths Dept.

slide21

LCM of 2 and 4

4

Harder Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

Step 1 : Find LCM

Step 2 : Equivalent

Fractions

2

1

+

4

4

4

Example 1

Step 3 : Add/Subtract

the numerator

and simplify

3

Compiled by Mr. Lafferty Maths Dept.

slide22

LCM of 5 and 6

30

Harder Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

Step 1 : Find LCM

Step 2 : Equivalent

Fractions

25

12

-

30

30

30

Example 1

Step 3 : Add/Subtract

the numerator

and simplify

13

Compiled by Mr. Lafferty Maths Dept.

slide23

LCM of 4 and 6

12

Harder Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

Step 1 : Find LCM

Step 2 : Equivalent

Fractions

10

9

+

12

12

12

12

Example 1

Step 3 : Add/Subtract

the numerator

and simplify

19

7

=

=

1

Compiled by Mr. Lafferty Maths Dept.

slide24

Harder Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

Now try Exercise 3

Ch31 (page 133)

Q1 and Q2

Compiled by Mr. Lafferty Maths Dept.

slide25

Harder Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

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

Compiled by Mr. Lafferty Maths Dept.

slide26

LCM of 2 and 3

6

Harder Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

3

4

+

= 5 +

1

6

6

6

6

6

6

7

1

1

1

= 6

=

1

Compiled by Mr. Lafferty Maths Dept.

slide27

LCM of 8 and 3

24

Harder Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

21

16

-

= 3 +

24

24

24

24

24

5

5

5

= 3

=

Compiled by Mr. Lafferty Maths Dept.

slide28

LCM of 4 and 6

12

Harder Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

9

10

+

= 4 +

1

12

12

12

12

12

12

19

7

7

7

= 5

=

1

Compiled by Mr. Lafferty Maths Dept.

slide29

Harder Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

Now try Exercise 3

Ch31 (page 134)

Q4 to Q8

Compiled by Mr. Lafferty Maths Dept.

slide30

Adding a negative is the same as subtracting

LCM of 4 and 3

12

Most Difficult Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

3

8

-

= 4 +

12

12

12

12

12

12

5

5

5

7

= 4

= 3

-

-

-

=

Compiled by Mr. Lafferty Maths Dept.

slide31

Adding a negative is the same as subtracting

LCM of 5 and 3

15

Most Difficult Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

3

10

-

= 6 +

15

15

15

15

15

15

7

7

7

8

= 6

= 5

-

-

-

=

Compiled by Mr. Lafferty Maths Dept.

slide32

Harder Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

Now try Exercise 3

Ch31 (page 134)

Q9 to Q15

Compiled by Mr. Lafferty Maths Dept.

starter questions33

Starter Questions

www.mathsrevision.com

Compiled by Mr. Lafferty Maths Dept.

multiplying fractions

Multiplying Fractions

Learning Intention

Success Criteria

  • Understand the simply rules for multiplying basic and mixed fractions.

1. We are learning how to multiply basic and mixed fractions.

  • Apply rules correctly.

www.mathsrevision.com

Compiled by Mr. Lafferty Maths Dept.

slide35

Multiplying Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

Multiply basic fractions

1. Multiply the numerators

2. Multiply the denominators

Example 1

Example 2

Compiled by Mr. Lafferty Maths Dept.

slide36

Multiplying Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

Now try Exercise 4

Ch31 (page 136)

Q1 to Q4

Compiled by Mr. Lafferty Maths Dept.

slide37

Multiplying Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

Multiplying Mixed Fractions

  • Make fractions top-heavy

2. Multiply the numerators

3. Multiply the denominators

Compiled by Mr. Lafferty Maths Dept.

slide38

Multiplying Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

Example

  • Make fractions top-heavy

2. Multiply the numerators

3. Multiply the denominators

Compiled by Mr. Lafferty Maths Dept.

slide39

Multiplying Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

Example

  • Make fractions top-heavy

2. Multiply the numerators

3. Multiply the denominators

Compiled by Mr. Lafferty Maths Dept.

slide40

Multiplying Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

Now try Exercise 4

Ch31 (page 136)

Q5 to Q10

Compiled by Mr. Lafferty Maths Dept.

starter questions41

Starter Questions

www.mathsrevision.com

Compiled by Mr. Lafferty Maths Dept.

dividing fractions

Dividing Fractions

Learning Intention

Success Criteria

  • Understand how the simply rules for dividing basic and mixed fractions.

1. We are learning how to divide basic and mixed fractions.

  • Apply rules correctly.

www.mathsrevision.com

Compiled by Mr. Lafferty Maths Dept.

slide43

Dividing Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

It is almost impossible to divide fractions like

by actually dividing.

Instead we change it into a multiplication by:

Always = 1

Compiled by Mr. Lafferty Maths Dept.

slide44

, multiply by

Instead of dividing by

Dividing Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

Easy rule to remember :

Example

Example

Compiled by Mr. Lafferty Maths Dept.

slide45

Dividing Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

Now try Exercise 5

Ch31 (page 138)

Q1 to Q4

Compiled by Mr. Lafferty Maths Dept.

slide46

, multiply by

Instead of dividing by

Dividing Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

For mixed fractions YOU MUST make them

top-heavy first !!

Example

Compiled by Mr. Lafferty Maths Dept.

slide47

Dividing Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

Example 2

Compiled by Mr. Lafferty Maths Dept.

slide48

Dividing Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

Now try Exercise 5

Ch31 (page 138)

Q5 to Q10

Compiled by Mr. Lafferty Maths Dept.