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Interchanging

Interchanging. Fractions, Decimals and Percentages. What area is shaded?. Answers. 0.5. 1/2. ?. Fraction: Percentage : Decimal:. ?. 50%. ?. All 3 numbers mean the same thing. Interchanging. Fractions, decimals and percentages can all be used to describe parts of a whole.

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Interchanging

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  1. Interchanging Fractions, Decimals and Percentages

  2. What area is shaded?

  3. Answers 0.5 1/2 ? Fraction: Percentage: Decimal: ? 50% ? All 3 numbers mean the same thing.

  4. Interchanging • Fractions, decimals and percentages can all be used to describe parts of a whole. • It is therefore possible to interchange them.

  5. More shapes Here are some more shaded shapes. Can you describe the shaded areas using fractions, percentages and decimals?

  6. Can you name the Fraction. Percentage & Decimal? 0.25 F: P: D: 1/4 ? ? 25% ?

  7. Can you name the Fraction, Percentage & Decimal? 0.3 F: P: D: 3/10 ? ? 30% ?

  8. Missing Pages

  9. Can you name the Fraction. Percentage & Decimal? 0.24 F: P: D: 6/25 ? ? 24% ?

  10. Interchanging Without Pictures

  11. Interchanging • You don’t need a picture to interchange Fractions, Decimals & Percentages. • There are calculations that will do the job quickly and easily.

  12. Interchanging Decimals & Percentages

  13. Decimals & Percentages • Percentages are a measure out of 100. • Decimals are a measure out of 1. • To change a decimal into a percentage you multiply by 100. • To change a percentage into a decimal you divide by 100.

  14. x 100 Decimals Percentages 100 The diagram illustrates this.

  15. 0.45 = 0.67 = 0.12 = 0.30 = 45% 67% 12% 30% Decimals to Percentages

  16. Missing Pages

  17. 10% = 5% = 11.1% = 888% = 0.1 0.05 0.111 8.88 Percentages to Decimals

  18. Interchanging Percentages to Fractions

  19. Percentages to Fractions • A percentage is already a type of fraction. • To be precise, a percentage is a fraction of one hundred. • To change a percentage into a fraction, you first put the percentage over 100, then simplify.

  20. 20 = = 60% 100 Here is an example ? 60 ? 3 20 = ? 5

  21. 10 = = 70% 100 Now try this one. ? 70 ? 7 10 = 10 ?

  22. Missing Pages

  23. 10% = 80% = 22% = 15% = 7% = 98% = 48% = 1/10 4/5 11/50 3/20 7/100 49/50 12/25 Try working out these.

  24. Interchanging Fractions to Decimals

  25. Fractions to Decimals • You might not realise it, but a fraction is actually a division sum! • For example the fraction ¾ is the division sum 3  4. • When you do the sum you get the decimal. • The only tricky bit is doing the sum.

  26. 3 = 4 4 3 ¾ as a decimal.

  27. 3 . 4 3 . 0 0 So how many 4s go into 3? 0 remainder 3 0 = 3 4

  28. 3 . 4 3 . 0 0 How many 4’s in 30? 7 remainder 2 0 7 = 3 2 4

  29. Missing Pages

  30. 3 0 . 7 5 = 3 2 4 4 3 . 0 0 The answer … 0.75

  31. 1/2 = 1/4 = 1/5 = 3/10 = 4/5 = 9/10 = 1/8 = 0.5 0.25 0.2 0.3 0.8 0.9 0.125 Try these

  32. Interchanging Fractions, Decimals & Percentages By S. Howarth • ORB Education Visit http://www.orbeducation.com for a range of quality teaching materials.

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