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Mastering Fractions and Percentages: Simplification and Calculations Made Easy

Discover key concepts in mastering fractions and percentages through simplified learning steps. Learn how to simplify fractions by finding common factors, dividing the numerator and denominator, and ensuring fully simplified results. Understand how to calculate a fraction of an amount with easy methods. Transition seamlessly between fractions, decimals, and percentages, using step-by-step non-calculator and calculator methods for accurate percentage calculations. Test your understanding with practical examples to ensure mastery and success.

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Mastering Fractions and Percentages: Simplification and Calculations Made Easy

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  1. Fractions

  2. What is to be learned? • How to simplify fractions

  3. Simplifying Fractions Steps to Success Find a number that goes into the top and bottom Divide top and bottom Check you have fully simplified ÷ 3 2 6 = 3√ ÷ 3 15 5

  4. The Test of Success What is to be learned? Steps to success Find a number that goes into the top and bottom Divide top and bottom Check you have fully simplified How to simplify Fractions 15 ÷ 5 3 = ÷ 5 35 7

  5. What is to be learned? • How to calculate a fraction of an amount

  6. Finding fraction of a quantity Steps to Success Divide by the bottom number Multiply by the top number (denominator) (numerator) 3/5 of 20 4 x 3 = 12 5 20

  7. The Test of Success What is to be learned? Steps to success Divide by the bottom number Multiply by the top number How to calculate a fraction of an amount 4/5 of 15 3 x 4 = 12 5 15

  8. Percentages

  9. What is to be learned? • How to change between fractions decimals and percentages.

  10. Fraction (a/b) C (then simplify) a ÷ b 100 Percentage (C%) Decimal X 100 ÷ 100

  11. Percentage Calculations

  12. What is to be learned? • How to do percentage calculations without a calculator

  13. Non Calculator Percentage Calculations Steps to success Change % to fraction Do calculation Write answer with units 10% of £40 = 1/10 of 40 = 40 ÷ 10 = £4

  14. The Test of Success What is to be learned? Steps to success Change % to fraction Do calculation Write answer with units How to do percentage calculations without a calculator 25% of £32 = ¼ of 32 = £8

  15. What is to be learned? • How to do percentage calculations with a calculator

  16. Calculator Steps to success Change to decimal Multiply Put in units (and extra zero if required) 17% of £40 = 0.17 = 6.8 X 40 £ 0

  17. The Test of Success What is to be learned? Steps to success Change % to decimal Multiply Write answer with units (and extra zero if required) How to do percentage calculations with a calculator 28% of £40 = 0.28 X 40 0 £ = 11.2

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