4 rules-of-fractions1640

44
This presentation will help you to: add subtract multiply and divide fractions

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Page 1: 4 rules-of-fractions1640

This presentation will help you to: add subtract multiply and divide fractions

Page 2: 4 rules-of-fractions1640

To add fractions together the denominator (the bottom bit) must be the same.

Example

8

2

8

1

Page 3: 4 rules-of-fractions1640

To add fractions together the denominator (the bottom bit) must be the same.

Example

8

2

8

1

8

21

Page 4: 4 rules-of-fractions1640

To add fractions together the denominator (the bottom bit) must be the same.

Example

8

2

8

1

8

21

8

3

Page 5: 4 rules-of-fractions1640

Click to see the next slide to reveal the answers.

1. 2.

3. 4.

3

1

3

1

12

7

12

3

7

4

7

2

4

1

4

2

Page 6: 4 rules-of-fractions1640

1. 2.

3. 4.

3

1

3

1

12

7

12

3

7

4

7

2

4

1

4

2

3

24

3

7

6

12

10

Page 7: 4 rules-of-fractions1640

Subtracting fractions

8

2

8

3

To subtract fractions the denominator (the bottom bit) must be the same.

Example

Page 8: 4 rules-of-fractions1640

Subtracting fractions

8

2

8

3

8

23

To subtract fractions the denominator (the bottom bit) must be the same.

Example

Page 9: 4 rules-of-fractions1640

Subtracting fractions

8

2

8

3

8

23

8

1

To subtract fractions the denominator (the bottom bit) must be the same.

Example

Page 10: 4 rules-of-fractions1640

Now try these

Click on the next slide to reveal the answers.

1. 2.

3. 4.

3

1

3

2

12

3

12

77

3

7

4

4

1

4

2

Page 11: 4 rules-of-fractions1640

Now try these

.

1. 2.

3. 4.

3

1

3

2

12

3

12

77

3

7

4

4

1

4

2

3

14

1

7

1

12

4

Page 12: 4 rules-of-fractions1640

Multiplying fractions

To multiply fractions we multiply the tops and multiply the bottoms

Top x Top

Bottom x Bottom

Page 13: 4 rules-of-fractions1640

Multiplying fractions

Example

3

1

2

1

Page 14: 4 rules-of-fractions1640

Multiplying fractions

Example

3

1

2

1

32

11

Page 15: 4 rules-of-fractions1640

Multiplying fractions

Example

3

1

2

1

32

11

6

1

Page 16: 4 rules-of-fractions1640

Now try these

Click on the next slide to reveal the answers.

1. 2.

3. 4.

3

1

3

1

5

3

3

1

5

4

4

2

4

1

4

2

Page 17: 4 rules-of-fractions1640

Now try these

.

1. 2.

3. 4.

3

1

3

1

5

3

3

1

5

4

4

2

4

1

4

29

116

2

20

8

15

3

Page 18: 4 rules-of-fractions1640

Dividing fractions

Once you know a simple trick, dividing is as easy as multiplying!

• Turn the second fraction upside down

• Change the divide to multiply

• Then multiply!

Page 19: 4 rules-of-fractions1640

Dividing fractions

•Turn the second fraction upside down

Example ?3

1

6

1

1

3

6

1

Page 20: 4 rules-of-fractions1640

Dividing fractions

•Turn the second fraction upside down

Example ?3

1

6

1

1

3

6

1

•Change the divide into a multiply

1

3

6

1

Page 21: 4 rules-of-fractions1640

Dividing fractions

•Turn the second fraction upside down

Example ?3

1

6

1

1

3

6

1

•Change the divide into a multiply

1

3

6

1

•Then multiply

16

31

1

3

6

1

Page 22: 4 rules-of-fractions1640

Dividing fractions

•Turn the second fraction upside down

Example ?3

1

6

1

1

3

6

1

•Change the divide into a multiply

1

3

6

1

•Then multiply

16

31

1

3

6

1

6

3

Page 23: 4 rules-of-fractions1640

Now try these

Click on the next screen to reveal the answers.

1. 2.

3. 4.

2

1

3

1

5

4

2

1

6

2

4

1

3

2

4

1

Page 24: 4 rules-of-fractions1640

Now try these

1. 2.

3. 4.

2

1

3

1

5

4

2

1

6

2

4

1

3

2

4

1

3

28

3

8

6

8

5

Page 25: 4 rules-of-fractions1640

To add or subtract fractions together the denominator (the bottom bit) must be the same.

So, sometimes we have to change the bottoms to make them the same.

In “maths-speak” we say we must get common denominators

Page 26: 4 rules-of-fractions1640

To get a common denominator we have to:

1. Multiply the bottoms together.

2. Then multiply the top bit by the correct number to get an equivalent fraction

Page 27: 4 rules-of-fractions1640

For example ?3

1

2

1

Page 28: 4 rules-of-fractions1640

For example

1. Multiply the bottoms together

?3

1

2

1

632

Page 29: 4 rules-of-fractions1640

For example ?3

1

2

1

2. Write the two fractions as sixths

6

?

2

1

6

?

3

1

Page 30: 4 rules-of-fractions1640

For example

?3

1

2

1

To get ½ into sixths we have multiplied the bottom (2) by 3. To get an equivalent fraction we need to multiply the top by 3 also

Page 31: 4 rules-of-fractions1640

For example

?3

1

2

1

To get ½ into sixths we have multiplied the bottom (2) by 3. To get an equivalent fraction we need to multiply the top by 3 also

6

3

6

31

2

1

Page 32: 4 rules-of-fractions1640

For example

?3

1

2

1

To get 1/3 into sixths we have multiplied the bottom (3) by 2. To get an equivalent fraction we need to multiply the top by 2 also

Page 33: 4 rules-of-fractions1640

For example

?3

1

2

1

To get 1/3 into sixths we have multiplied the bottom (3) by 2. To get an equivalent fraction we need to multiply the top by 2 also

6

2

6

21

3

1

Page 34: 4 rules-of-fractions1640

For example

?3

1

2

1

We can now rewrite

3

1

2

1

Page 35: 4 rules-of-fractions1640

For example

?3

1

2

1

We can now rewrite

6

2

6

3

3

1

2

1

Page 36: 4 rules-of-fractions1640

For example

?3

1

2

1

We can now rewrite

6

2

6

3

3

1

2

1

6

23

Page 37: 4 rules-of-fractions1640

For example

?3

1

2

1

We can now rewrite

6

2

6

3

3

1

2

1

6

23

6

1

Page 38: 4 rules-of-fractions1640

This is what we have done:

3

1

2

1

1. Multiply the bottoms

6

?

6

?

Page 39: 4 rules-of-fractions1640

This is what we have done:

3

1

2

1

1. Multiply the bottoms

6

?

6

?

2.Cross multiply

6

?

6

31

Page 40: 4 rules-of-fractions1640

This is what we have done:

3

1

2

1

1. Multiply the bottoms

6

?

6

?

2.Cross multiply

6

21

6

3

6

?

6

31

Page 41: 4 rules-of-fractions1640

This is what we have done:

3

1

2

1

1. Multiply the bottoms

6

?

6

?

2.Cross multiply

6

21

6

3

6

?

6

31

6

2

6

3

Page 42: 4 rules-of-fractions1640

Now try these

Click on the next slide to reveal the answers.

1. 2.

3. 4.

2

1

3

1

2

1

5

4

6

1

4

3

3

2

4

1

24

14

Page 43: 4 rules-of-fractions1640

Now try these

1. 2.

3. 4.

2

1

3

1

2

1

5

4

6

1

4

3

3

2

4

1

6

512

11

24

1410

3

12

7

Page 44: 4 rules-of-fractions1640

Go to: BBC Bitesize Maths Revision site

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