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Equivalent Fractions

- Raising and Reducing

Pizza

3/4

9/12

6/8

Multiply by 1

5

- 5 x 1
- 235 x 1
- 2/3 x 1
- a x 1

235

2/3

a

What is 1?

Raising Fractions

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.

Raising Fractions

- To raise fractions 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.

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.

Raising Fractions

- Raise 3/8 to 56ths.
- Multiply numerator and denominator (top and

bottom) of the fraction by the same number.

Raising Fractions

- Raise 3/8 to 56ths.
- Multiply numerator and denominator (top and

bottom) of the fraction by the same number.

Reducing Fractions

- Opposite of raising.
- Make the denominator smaller.
- Divide numerator and denominator by the same

number.

Reducing Fractions

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

number.

Reducing Fractions

- Divide numerator and denominator by the same

number.

Reducing Fractions

- Divide numerator and denominator by the same

number.

Proper and Improper

- An improper fraction has a numerator larger than

the denominator. - A proper fration has a numerator smaller than the

denominator.

Mixed vs. Improper

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

visa versa.

Work this on paper.

- We have 5 full crates of apples and one crate

with only7 apples. The full crates contain 30

apples. - How many apples altogether?

Work this on paper.

- We have 5 full crates of apples and one crate

with only7 apples. The full crates contain 30

apples. - How many apples altogether?
- 157 apples.
- How did you get the answer?

Mixed to Improper.

- You multiplied the 5 times 30 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.

Mixed to improper

- Try some.

Mixed to improper

- Try some.

Try this on paper.

- We have 135 pencils and boxes that hold 12

each. - How many full boxes? How many loose pencils?
- How did you get your answer?

Try this on paper.

- We have 135 pencils and boxes that hold 12

each. - How many full boxes? 11 How many loose pencils?

3 - How did you get your answer?
- Divided 135 by 12. The remainder was the left

over. - 135/12 11 3/12

Improper to Mixed

- Divide.

Try these.

Answers

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