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Fraction rules

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Fractions Super-ultra-mega solving skills ;) Mr. Standring Math
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Page 1: Fraction rules

Mr. Standring Math

FractionsSuper-ultra-mega solving skills ;)

Page 2: Fraction rules

Mr. Standring Math

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

Fractions

Page 3: Fraction rules

Mr. Standring Math

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

Example

Adding fractions

8

2

8

1

Page 4: Fraction rules

Mr. Standring Math

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

Example

Adding fractions

8

2

8

1

8

21

Page 5: Fraction rules

Mr. Standring Math

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

Example

Adding fractions

8

2

8

1

8

21

8

3

Page 6: Fraction rules

Mr. Standring Math

Click to see the next slide to reveal the answers.

1. 2.

3. 4.

Now try these

3

1

3

1

12

7

12

3

7

4

7

2

4

1

4

2

Page 7: Fraction rules

Mr. Standring Math

1. 2.

3. 4.

Now try these

3

1

3

1

12

7

12

3

7

4

7

2

4

1

4

2

3

24

3

7

6

12

10

Page 8: Fraction rules

Mr. Standring Math

Subtracting fractions

8

2

8

3

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

Example

Page 9: Fraction rules

Mr. Standring Math

Subtracting fractions

8

2

8

3

8

23

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

Example

Page 10: Fraction rules

Mr. Standring Math

Subtracting fractions

8

2

8

3

8

23

8

1

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

Example

Page 11: Fraction rules

Mr. Standring Math

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 12: Fraction rules

Mr. Standring Math

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 13: Fraction rules

Mr. Standring Math

Multiplying fractions

To multiply fractions we multiply the tops and multiply the bottoms

Top x Top

Bottom x Bottom

Page 14: Fraction rules

Mr. Standring Math

Multiplying fractions

Example

3

1

2

1

Page 15: Fraction rules

Mr. Standring Math

Multiplying fractions

Example

3

1

2

1

32

11

Page 16: Fraction rules

Mr. Standring Math

Multiplying fractions

Example

3

1

2

1

32

11

6

1

Page 17: Fraction rules

Mr. Standring Math

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 18: Fraction rules

Mr. Standring Math

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 19: Fraction rules

Mr. Standring Math

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 20: Fraction rules

Mr. Standring Math

Dividing fractions

• Turn the second fraction upside down

Example ?3

1

6

1

1

3

6

1

Page 21: Fraction rules

Mr. Standring Math

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 22: Fraction rules

Mr. Standring Math

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 23: Fraction rules

Mr. Standring Math

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 24: Fraction rules

Mr. Standring Math

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 25: Fraction rules

Mr. Standring Math

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 26: Fraction rules

Mr. Standring Math

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

Common denominators

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

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

Page 27: Fraction rules

Mr. Standring Math

To get a common denominator we have to:

Common denominators

1. Multiply the bottoms together.

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

Page 28: Fraction rules

Mr. Standring Math

For example

Common denominators

?3

1

2

1

Page 29: Fraction rules

Mr. Standring Math

For example

Common denominators

1. Multiply the bottoms together

?3

1

2

1

632

Page 30: Fraction rules

Mr. Standring Math

For example

Common denominators

?3

1

2

1

2. Write the two fractions as sixths

6

?

2

1

6

?

3

1

Page 31: Fraction rules

Mr. Standring Math

For example

Common denominators

?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 32: Fraction rules

Mr. Standring Math

For example

Common denominators

?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 33: Fraction rules

Mr. Standring Math

For example

Common denominators

?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 34: Fraction rules

Mr. Standring Math

For example

Common denominators

?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 35: Fraction rules

Mr. Standring Math

For example

Common denominators

?3

1

2

1

We can now rewrite

3

1

2

1

Page 36: Fraction rules

Mr. Standring Math

For example

Common denominators

?3

1

2

1

We can now rewrite

6

2

6

3

3

1

2

1

Page 37: Fraction rules

Mr. Standring Math

For example

Common denominators

?3

1

2

1

We can now rewrite

6

2

6

3

3

1

2

1

6

23

Page 38: Fraction rules

Mr. Standring Math

For example

Common denominators

?3

1

2

1

We can now rewrite

6

2

6

3

3

1

2

1

6

23

6

1

Page 39: Fraction rules

Mr. Standring Math

Common denominators

This is what we have done:

3

1

2

1

1. Multiply the bottoms

6

?

6

?

Page 40: Fraction rules

Mr. Standring Math

Common denominators

This is what we have done:

3

1

2

1

1. Multiply the bottoms

6

?

6

?

2.Cross multiply

6

?

6

31

Page 41: Fraction rules

Mr. Standring Math

Common denominators

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 42: Fraction rules

Mr. Standring Math

Common denominators

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 43: Fraction rules

Mr. Standring Math

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 44: Fraction rules

Mr. Standring Math

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 45: Fraction rules

Mr. Standring Math

Go to: BBC Bitesize Maths Revision site

by clicking here:

For further info


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