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Equivfract

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Transcript

  • 1. YEAR 11 MATHS Equivalent fractions
  • 2. What is an equivalent fraction The shaded portion is 1 2 The shaded portion is 2 4
  • 3. What is an equivalent fraction The shaded portion is 1 2 The shaded portion is 3 6
  • 4. What is an equivalent fraction The shaded portion is 1 2 The shaded portion is 4 8
  • 5. What is an equivalent fraction The shaded portion is 1 2 1 is the same as 2 3 4 5 and so on 2 4 6 8 10 2 3 4 5 and so on are called equivalent fractions of 1 4 6 8 10 2
  • 6. The quick way to find equivalent fractions
    • Take the fraction 1
    • 2
    • The numerator = 1 . The denominator = 2
    • Keep adding 1 to the numerator
    • Keep adding 2 to the denominator
    Add 1 Add 2 Add 1 Add 1 Add 1 Add 1 Add 2 Add 2 Add 2 Add 2
  • 7. Finding equivalent fractions. Examples
    • Take the fraction 1
    • 3
    • The numerator = 1 . The denominator = 3
    • Keep adding 1 to the numerator
    • Keep adding 3 to the denominator
    Add 1 Add 3 Add 1 Add 1 Add 1 Add 1 Add 3 Add 3 Add 3 Add 3
  • 8. Finding equivalent fractions. Examples
    • Take the fraction 2
    • 3
    • The numerator = 2 . The denominator = 3
    • Keep adding 2 to the numerator
    • Keep adding 3 to the denominator
    Add 2 Add 3 Add 2 Add 2 Add 2 Add 2 Add 3 Add 3 Add 3 Add 3
  • 9. Equivalent fractions.
    • Now consider these two
    Multiply by 5 Add 3 Add 2 Multiply by 5
    • Q. What number is ?
    • 3 multiplied by 10 to make 30. So multiply 2 by 10 to get
    • = 20
  • 10. Equivalent fractions.
    • What are the missing numerators?
  • 11. Equivalent fractions
    • Use the same approach to find the missing
    • denominators of equivalent fractions
  • 12. Writing different fractions with t
    • Use the same approach to find the missing
    • denominators of equivalent fractions
  • 13. Writing different fractions with the same denominators
    • Take the fractions 1 and 1
    • 2 3
    • Now
    • And
    • The fractions with the same denominators are arrowed. The smallest common denominator is 6. So we have
  • 14. Writing different fractions with the same denominators
    • As 3 parts out of 6 is bigger than 2 parts out of 6
    • is bigger than
    • This is how we know is bigger than
  • 15. Writing different fractions with the same denominators
    • Take the fractions 1 1 and 1
    • 2 3 4
    • Now
    • The fractions with the smallest same denominator is arrowed.
  • 16. Ordering fractions
    • Order the fractions 1 1 and 1
    • 2 4 3
    • We know:
    • 6 out of 12 is biggest, 4 out of 12 is next, then 3 out of 12
    • So the order is
  • 17. Classwork
    • Ex A page 366
    • Q1
    • Q4
    • Q6
    • Q7
  • 18. Harder ordering of fractions
    • Order the fractions 1 1 and 2
    • 2 3 5
    • Rather than work out equivalent fraction lists – which will here take a long long time! - we use a short cut.
    • Step 1 : Multiply all 3 denominators = 2 x 3 x 5 = 30
    • Step 2 : Find the fractions equivalent to the one with denominator 30
    • So
    • .
    biggest smallest middle
  • 19. Classwork
    • Ex A P 366
    • Q3
    • Ex B p 368
    • Q1
    • Q2
    • Q4