Working with fractions at L2

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Presentation of Fractions extended for work at Level 2

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Working with fractions at L2

  1. 1. Adult Numeracy Level 2 Working With Fractions Dave Cross Suffolk New College
  2. 2. Fractions at Level 2 <ul><li>At level 2 we need to be able to convert any fraction into its alternative format, this could be;- </li></ul><ul><li>Proper </li></ul><ul><li>Improper </li></ul><ul><li>Mixed </li></ul><ul><li>Decimal </li></ul><ul><li>Percentage </li></ul>
  3. 3. Revision of fractions at Level 1 <ul><li>A fraction shows a number as mixture of whole numbers (integers) and parts of a whole (fractions) </li></ul>One and a Half = = = 1.5 Or Three Halves One whole and one half 1- 2 1 3-2
  4. 4. <ul><li>A proper fraction represents less than one whole </li></ul>Revision of fractions at Level 1 The top number (numerator) is lower in value than the bottom number (denominator) 2 1
  5. 5. <ul><li>An improper fraction represents more than one whole </li></ul>Revision of fractions at Level 1 The top number (numerator) is higher in value than the bottom number (denominator) 2 3
  6. 6. <ul><li>To turn an improper fraction into a mixed fraction we need to find how many times we can get the denominator into the numerator, using division </li></ul>Revision of fractions at Level 1 So here we divide 3 by 2 giving one and a half Thus 3/2 (improper) = 1 ½ (Mixed) 2 3
  7. 7. <ul><li>Notice the meaning of the line that separates the Numerator and the Denominator = ‘Divided By’ </li></ul>Revision of fractions at Level 1 If we divide the number above the line by the number below, this will give us the same number expressed as a decimal = 2 3 1 0 3. 2 5 1.
  8. 8. Now Fractions at Level 2 <ul><li>Let’s use an example; </li></ul><ul><li>If our class had 12 people in it, then three more people joined </li></ul><ul><li>Q1 By what fraction has the original class size increased? </li></ul>3 out of 12 = 3/12 We can simplify this fraction by dividing the top and bottom by their common factor (here, three goes into 3 and 12, so we divide both by 3) = ¼
  9. 9. Fractions at Level 2 <ul><li>Let’s continue our example; </li></ul><ul><li>If our class had 12 people in it, then three more people joined </li></ul><ul><li>Q2 Can you write the new class size as a fraction of the old class size? </li></ul>= We can simplify this fraction by dividing the top and bottom by their common factor (here, three goes into 15 and 12, so we divide both by 3) 12 15 4 5
  10. 10. Fractions at Level 2 <ul><li>If our class had 12 people in it, then three more people joined </li></ul><ul><li>Q3 What is the new class size as a percentage of the original class size? </li></ul>In Q2 we found this answer as a simplified improper fraction = 5/4 Can you explain why 1.25 = 125% ? 1 0 2 2 0 5 5. 4 1.
  11. 11. Adding Fractions at Level 2 <ul><li>Can you explain why 1.25 = 125% ? </li></ul>Or 100/100 + 20/100 + 5/100 = 125/100 In words ‘one hundred and twenty five PER cent’ Remember- 1per cent is the same as one hundredth 5x1% 2x10% 1x100% 5 2 1. Hundredths Tenths Units
  12. 12. Adding Fractions at Level 2 <ul><li>Before we can add fractions together we must convert them into the same type of fraction (with the same denominator) </li></ul>+ + = ? 4 5 8 2 12 7
  13. 13. Adding Fractions at Level 2 + + = Look at all three denominators 4, 8, and 12 What is a common multiple (what number do they have in common?)? + 4 5 8 2 12 7 24 30 24 6 24 14
  14. 14. Adding Fractions at Level 2 <ul><li>Now that we have expressed each fraction in a similar form we can add them all together then finally, we simplify them </li></ul>+ + = = =2 24 30 24 6 24 14 24 50 12 25 12 1

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