By Brian Speed, Keith Gordon, Kevin Evans
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Extra resources for 2tier-foundation for Edexcel A
Each small square is called a twenty-fourth or 24 Cut one of the rectangles into quarters, another into sixths, another into thirds and the remaining one into eighths. 1 4 1 4 1 4 You can see that the strip equal to a quarter takes up 6 squares, so: 1 4 6 1 = 4 24 This is another example of equivalent fractions. 1 6 1 6 1 6 1 6 1 6 1 6 This idea is used to add fractions together. qxd 13/03/06 14:17 Page 30 CHAPTER 2: FRACTIONS EXERCISE 2C Use the strips to write down each of these fractions as twenty-fourths.
9 Multiplying fractions In this section you will learn how to: ● multiply a fraction by a fraction What is 1 1 of ? 2 4 The diagram shows the answer is 40 1 . qxd 13/03/06 14:17 Page 41 CHAPTER 2: FRACTIONS In mathematics, you always write So you know that 1 1 1 1 of as × 2 4 2 4 1 1 1 × = 2 4 8 To multiply fractions, you multiply the numerators together and you multiply the denominators together. EXAMPLE 6 Work out –41 of –52 . 1 ×2 1 1 2 2 × = = = 10 4 5 4 × 5 20 EXERCISE 2I Work out each of these multiplications.
The basic fraction, –43 in Example 1, is in its lowest terms. This means that there is no number that is a factor of both the numerator and the denominator. EXAMPLE 2 Cancel these fractions to their lowest terms. a 15 35 b 24 54 a Here is one reason why you need to know the times tables. What is the biggest number that has both 15 and 35 in its times table? You should know that this is the five times table. So, divide both top and bottom numbers by 5. 15 15 ÷ 5 3 = = 35 35 ÷ 5 7 You can say that you have ‘cancelled by fives’.
2tier-foundation for Edexcel A by Brian Speed, Keith Gordon, Kevin Evans