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Multiplying fractions by whole Multiplying fractions by whole numbers numbers 1. What are 4 lots of one quarter? 2. What are 10 lots of one half? 3. 0.25 x 8 4. 0.1 x 5 5. 0.5 x 3 6. ½ x 7 7. ¼ x 6 8. 1 / 5 + 1 / 5 + 1 / 5 + 1 / 5 = 1 / 5 x ….. = …… 9. 10 x 2 / 3 10.24 x ¼

Multiplying fractions by whole numbers 1.What are 4 lots of one quarter? 2.What are 10 lots of one half? 3.0.25 x 8 4.0.1 x 5 5.0.5 x 3 6.½ x 7 7.¼ x 6

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Page 1: Multiplying fractions by whole numbers 1.What are 4 lots of one quarter? 2.What are 10 lots of one half? 3.0.25 x 8 4.0.1 x 5 5.0.5 x 3 6.½ x 7 7.¼ x 6

Multiplying fractions by whole numbersMultiplying fractions by whole numbers

1. What are 4 lots of one quarter?2. What are 10 lots of one half?3. 0.25 x 84. 0.1 x 55. 0.5 x 36. ½ x 77. ¼ x 68. 1/5 + 1/5 + 1/5 + 1/5 = 1/5 x ….. = ……

9. 10 x 2/3

10.24 x ¼

Page 2: Multiplying fractions by whole numbers 1.What are 4 lots of one quarter? 2.What are 10 lots of one half? 3.0.25 x 8 4.0.1 x 5 5.0.5 x 3 6.½ x 7 7.¼ x 6

Multiplying a fraction by a halfMultiplying a fraction by a half

What is ½ x ¼?

It is the same as a half of a quarter.

½ x ¼ = 1/8

What is 1/3 x ½ ?

What is 1/7 x ½ ?

Write down a method for multiplying by ½.

Page 3: Multiplying fractions by whole numbers 1.What are 4 lots of one quarter? 2.What are 10 lots of one half? 3.0.25 x 8 4.0.1 x 5 5.0.5 x 3 6.½ x 7 7.¼ x 6

Multiplying a fraction by a quarterMultiplying a fraction by a quarter

What is 1/3 x ¼?

It is the same as a quarter of a third.

1/3 x ¼ = 1/12

What is 1/8 x 1/4 ?

What is 1/6 x 1/4 ?

Write down a method for multiplying by ¼.

Page 4: Multiplying fractions by whole numbers 1.What are 4 lots of one quarter? 2.What are 10 lots of one half? 3.0.25 x 8 4.0.1 x 5 5.0.5 x 3 6.½ x 7 7.¼ x 6

Multiplying any two fractionsMultiplying any two fractions

1. Can you work out a method for ¾ of ½ ?You might want to use this diagram:

2. Can you use the same method to work out ¾ of 1/3 ?

What diagram would you need?

Page 5: Multiplying fractions by whole numbers 1.What are 4 lots of one quarter? 2.What are 10 lots of one half? 3.0.25 x 8 4.0.1 x 5 5.0.5 x 3 6.½ x 7 7.¼ x 6

Multiplying any two fractionsMultiplying any two fractions

3. Work out 2/3 of ½ using this diagram:

4. Is this the same as ½ of 2/3? Explain.

5. Can you use the same method to work out 3/5 of 2/3 ?

What diagram would you need?

Page 6: Multiplying fractions by whole numbers 1.What are 4 lots of one quarter? 2.What are 10 lots of one half? 3.0.25 x 8 4.0.1 x 5 5.0.5 x 3 6.½ x 7 7.¼ x 6

Multiplying any two fractionsMultiplying any two fractions

2/3 of ½ is the same as ½ of 2/3.

These are also the same as 2/3 x ½

and ½ x 2/3.

To multiply two fractions together, times the numerators together and the denominators together.

Example 2/5 x 6/7 = ……….