Equivalent Fractions

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Equivalent Fractions

• Raising and Reducing

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Pizza
3
Pizza
3/4
9/12
6/8
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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?

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Raising Fractions

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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)

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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!

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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.

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Raising Fractions

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

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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.

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Reducing Fractions

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

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Reducing Fractions

• Divide numerator and denominator by the same
  number.

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Reducing Fractions

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

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Proper and Improper

• An improper fraction has a numerator larger than
  the denominator.
• A proper fraction has a numerator smaller than
  the denominator.

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Mixed vs. Improper

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

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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?

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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?

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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.

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Mixed to improper

• Try some.

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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?

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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

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Improper to Mixed

• To change
• Divide.

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Try these.

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Answers