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Cut one into quarters, another into fifths and the last into tenths. 1 4 1 4 1 5 1 4 1 5 1 5 1 5 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 5 1 4 Use the strips to find the equivalent fraction in twentieths to each of the following. a 1 4 b 1 5 c 3 4 d 4 5 e 1 10 f 1 2 g 3 5 h 2 5 i 7 10 j 3 10 e 1 7 + 10 4 Use the strips to write down the answer to each of the following. 4 13/03/06 14:17 Page 31 Equivalent fractions and cancelling In this section you will learn how to: ● create equivalent fractions ● cancel fractions, where possible Key words denominator lowest terms numerator Equivalent fractions are two or more fractions that represent the same part of a whole.
Because a terminating decimal has a specific number of decimal places, you can use place value to work out exactly where the numerator and the denominator end. 625 = 9 45 = 1000 200 17 234 117 = =2 100 50 50 5 625 = 1000 8 Converting fractions into recurring decimals A fraction that does not convert to a terminating decimal will give a recurring decimal. 3 This means that the 3s go on for ever and the decimal never ends. To convert the fraction, you can usually use a calculator to divide the numerator by the denominator.
Two-fifths of the price of a book goes to the bookshop. A book cost £12. How much goes to the bookshop? Put the following fractions into order, smallest first. 3 – 4 1 – 2 2 – 5 1 – 3 Work out. When a cross is carved from a piece of wood, –54 of the wood is cut away. The original block weighs 215 grams. What weight of wood is cut off? Find –53 of 45 kg. 7 2 ––– – – 10 5 Here are two fractions –53 and –32 . Work out –53 of 185. Explain which is the larger fraction. Edexcel, Question 4a, Paper 8B Foundation, January 2003 You may copy and use the grids to help with your explanation.