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Understanding Fractions of Quantities: Examples and Applications

This guide provides a comprehensive understanding of how to calculate fractions of various quantities without the need for a calculator. We explore numerous examples, including finding fractions of 24, 35, 56, as well as real-world applications involving mass and length calculations. The content covers detailed examples such as determining the mass of wood and plastic used in a chair, calculating page distributions in a book, and assessing lengths of faulty and good curtain material. Perfect for students and anyone needing to master fraction calculations.

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Understanding Fractions of Quantities: Examples and Applications

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  1. Example Work out of 24 Fractions of a quantitywithout a calculator Example Work out of 24

  2. Example Work out of 35 Example Work out of 56 Example Work out of 120

  3. Example Work out of 30 Example Work out of 28 Example Work out of 36

  4. Example Work out each of the following:(a) of 65 (b) of 63 (c) of 32 (d) of 81 (e) of 48

  5. Example A firm makes armchairs each with a mass of 104kg. Three eighths of each chair is made of wood and the rest is of plastic. For each chair, what mass is used of (a) wood (b) plastic?

  6. Example A book has 860 pages. Three twentieths of the pages have pictures on them, and the rest are worded. How many pages have on them (a) pictures (b) words?

  7. Example A roll of curtain material which is 2400cm long, is found to have a flaw running of the way along its length. a) What length is faulty? b) What length is still good?

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