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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Presentation transcript:

Multiplying fractions by whole numbers 1.What are 4 lots of one quarter? 2.What are 10 lots of one half? x x x 3 6.½ x 7 7.¼ x / / / / 5 = 1 / 5 x ….. = …… 9.10 x 2 / x ¼

Multiplying 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.

Multiplying 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.

Multiplying 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?

Multiplying 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?

Multiplying 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 = ……….