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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