2. Whiteboardmaths.com © 2004 All rights reserved 5 7 2 1

3. Remember: A percentage is simply a fraction out of 100. 23%56%84% 23 100 56 100 84 100 Percentages from Fractions

4. Non Calculator Example 1: What percentage of the grid is coloured pink? Percentages from Fractions Remember: A percentage is simply a fraction out of 100. Fraction pink = 6 10 Percentages from simple fractions without a calculator. Simply find the fraction that is coloured pink then find the equivalent fraction out of 100. 60% 6 10 = Fraction pink = ? 100 x 10 60

5. Example 2: What percentage of the grid is coloured red? 40% Percentages from Fractions Remember: A percentage is simply a fraction out of 100. 10 25 = Fraction red = ? 100 Simply find the fraction that is coloured red then find the equivalent fraction out of 100. x 4 Fraction red = 10 25 40 Percentages from simple fractions without a calculator.

6. Example 3: What percentage of the grid is coloured blue? 30% Percentages from Fractions Remember: A percentage is simply a fraction out of 100. 6 20 = Fraction blue = ? 100 Simply find the fraction that is coloured blue then find the equivalent fraction out of 100. x 5 Fraction blue = 6 20 30 Percentages from simple fractions without a calculator.

7. Example 4: What percentage of the discs are coloured red? 60% Percentages from Fractions Remember: A percentage is simply a fraction out of 100. 3 5 = Fraction red = ? 100 Simply find the fraction that is coloured red then find the equivalent fraction out of 100. x 20 Fraction red = 3 5 60 Percentages from simple fractions without a calculator.

8. Percentages from Fractions For each of the following diagrams, calculate the percentage for the coloured indicated. You may well be able to do this in your head. red pink blue green silver 45% 70% 44%80% 75%

9. Calculator Percentages from fractions using a calculator. Example 1: What percentage of the grid is coloured pink? 60% Percentages from Fractions Remember: A percentage is simply a fraction out of 100. 9 15 x 100 Percentage pink = Simply find the fraction that is coloured pink, then multiply it by 100. Fraction pink = 9 15 915x1 0=0

10. Percentages from fractions using a calculator. Example 2: What percentage of the toys are soldiers? 37.5% Percentages from Fractions Remember: A percentage is simply a fraction out of 100. 3 8 x 100 Percentage soldiers = Simply find the fraction that are soldiers, then multiply it by 100. Fraction soldiers = 3 8 38x1 0=0

11. Percentages from fractions using a calculator. Example 3: What percentage of the toys are teddies? (1 dp) Percentages from Fractions Remember: A percentage is simply a fraction out of 100. 5 12 x 100 Percentage teddies = Simply find the fraction that are teddies, then multiply it by 100. Fraction teddies = 5 12 41.7% 512x1 0=0

12. Percentages from Fractions For each of the cases below, find the required percentage (1 dp) red squares blue balls 3D shapes 26.7% 58.3% 38.9%44.4% ducks

13. Why x 100? Percentages from fractions using a calculator. Why do we multiply by 100? Percentages from Fractions Remember: A percentage is simply a fraction out of 100. 5 12 x 100 Percentage teddies = We do this in order to turn the first part of a calculation from a decimal to a percentage. Fraction teddies = 5 12 41.7% 512x1 0=0 0.41666…

14. Percentages from Fractions red pink blue green silver For each of the following diagrams, calculate the percentage for the coloured indicated. You may well be able to do this in your head.

15. Percentages from Fractions For each of the cases below, find the required percentage (1 dp) red squares blue balls 3D shapes ducks