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Equivalent Fractions

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Equivalent Fractions Raising and Reducing Pizza Pizza 3/4 6/8 9/12 Multiply by 1 5 x 1 = 235 x 1 = 2/3 x 1 = a x 1 = 5 235 2/3 a What is 1? – PowerPoint PPT presentation

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Title: Equivalent Fractions


1
Equivalent Fractions
  • Raising and Reducing

2
Pizza
3
Pizza
3/4
9/12
6/8
4
Multiply by 1
  • 5 x 1
  • 235 x 1
  • 2/3 x 1
  • a x 1

5
235
2/3
a
5
What is 1?

6
Raising Fractions

7
Raising Fractions
  • A man walks into the pizza store and orders a
    medium pizza.
  • The clerk asks Would you like that cut in 8
    pieces or 6?
  • The man replied Make it 6. I dont think I
    can eat 8.
  • o)

8
Raising Fractions
  • To raise fractions you make the denominator
    larger.
  • Multiply numerator and denominator (top and
    bottom) of the fraction by the same number.
  • This is the same thing as multiplying by 1!

9
Raising Fractions
  • Multiply numerator and denominator (top and
    bottom) of the fraction by the same number.
  • This is the same thing as multiplying by 1.

10
Raising Fractions
  • Raise 3/8 to 16ths.
  • Multiply numerator and denominator (top and
    bottom) of the fraction by the same number.

11
Raising Fractions
  • Raise 3/8 to 16ths.
  • Multiply numerator and denominator (top and
    bottom) of the fraction by the same number.

12
Reducing Fractions
  • Opposite of raising.
  • Make the denominator smaller.
  • Divide numerator and denominator by the same
    number.

13
Reducing Fractions
  • Might take more than one step.
  • More than one way.
  • Divide numerator and denominator by the same
    number.

14
Reducing Fractions
  • Divide numerator and denominator by the same
    number.

15
Reducing Fractions
  • Divide numerator and denominator by the same
    number.
  • In the example, we divide the top and bottom by
    10.

16
Proper and Improper
  • An improper fraction has a numerator larger than
    the denominator.
  • A proper fraction has a numerator smaller than
    the denominator.

17
Mixed vs. Improper
  • A mixed number has a whole and fraction part.
  • A mixed number can be written as an improper and
    vice versa.

18
Work this on paper.
  • We have 5 full crates of apples and one crate
    with only 7 apples. The full crates contain 10
    apples.
  • How many apples altogether?

19
Work this on paper.
  • We have 5 full crates of apples and one crate
    with only 7 apples. The full crates contain 10
    apples.
  • How many apples altogether?
  • 57 apples.
  • How did you get the answer?

20
Mixed to Improper.
  • You multiplied the 5 times 10 and added the 7
  • To change a mixed number to improper, multiply
    the denominator by the whole part and add the
    numerator. Keep the denominator the same.

21
Mixed to improper
  • Try some.

22
Mixed to improper
  • Try some.

23
Try this on paper.
  • We have 95 pencils and boxes that hold 10 each.
  • How many full boxes? How many loose pencils?
  • How did you get your answer?

24
Try this on paper.
  • We have 95 pencils and boxes that hold 10 each.
  • How many full boxes? 9 How many loose pencils?
    5
  • How did you get your answer?
  • Divided 95 by 10. The remainder was the left
    over.
  • 95/10 9 5/10

25
Improper to Mixed
  • To change
  • Divide.

26
Try these.

27
Answers
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