Fractions

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# Fractions - PowerPoint PPT Presentation

Fractions. Reminder and Mixed Fractions. Add &amp; Subtract basic Fractions. Add &amp; 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

Reminder and Mixed Fractions

www.mathsrevision.com

Multiplying Fractions

Dividing Fractions

Compiled by Mr. Lafferty Maths Dept.

### Starter

X

www.mathsrevision.com

Compiled by Mr. Lafferty Maths Dept.

### 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.

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• Solve problems involving fractions.

Compiled by Mr. Lafferty Maths Dept.

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.

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.

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.

Top Heavy to Mixed

MTH 3-07b

MTH 3-07c

MTH 4-07b

means seven thirds

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remainder 1

Top Heavy to Mixed

MTH 3-07b

MTH 3-07c

MTH 4-07b

NUMERATOR  DENOMINATOR

can be written as 7  3

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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.

Mixed to Top Heavy

MTH 3-07b

MTH 3-07c

MTH 4-07b

WHOLE NUMBER  DENOMINATOR

Changing a mixed fraction to a top-heavy.

5  4  3

 23 quarters

7  5  2

 37 fifths

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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

5cm

7cm

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Compiled by Mr. Lafferty Maths Dept.

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.

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• To be able to do simple fraction calculations.

Compiled by Mr. Lafferty Maths Dept.

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.

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.

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.

MTH 3-07b

MTH 3-07c

MTH 4-07b

Now try Exercise 2

Ch31 (page 131)

Compiled by Mr. Lafferty Maths Dept.

### Starter Questions

www.mathsrevision.com

Compiled by Mr. Lafferty Maths Dept.

### 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.

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.

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

the numerator

and simplify

3

Compiled by Mr. Lafferty Maths Dept.

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

the numerator

and simplify

13

Compiled by Mr. Lafferty Maths Dept.

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

the numerator

and simplify

19

7

=

=

1

Compiled by Mr. Lafferty Maths Dept.

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.

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.

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.

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.

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.

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.

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.

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.

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 Questions

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Compiled by Mr. Lafferty Maths Dept.

### 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.

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.

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.

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.

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.

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.

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 Questions

www.mathsrevision.com

Compiled by Mr. Lafferty Maths Dept.

### 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.

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

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, multiply by

Dividing Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

Easy rule to remember :

Example

Example

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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.

, multiply 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.

Dividing Fractions

MTH 3-07b

MTH 3-07c

MTH 4-07b

Example 2

Compiled by Mr. Lafferty Maths Dept.

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.