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Fractions

What are Fractions?

- A Fraction is a Rational Number.
- A Rational Number is any number that can be

expressed in the form

a b

What are Fractions?

- Many students think of fractions as parts of a

whole.

What are Fractions?

- Some also think of a ratio.
- I missed 4 out of 10 problems.

What are Fractions?

- Math teachers think of Fractions as Division

Problems.

- 0.5
- 1.0
- 10
- 0

1 2

Label the parts of a Fraction

- Numerator
- Denominator
- The line between the Numerator and Denominator is

called a Solidus. For now, it means divided by.

Students have trouble with Fractions.

- What are equivalent fractions?
- Fraction Fish will help here.
- How do you simplify fractions?
- Guess and Check Method.
- Greatest Common Factor Method.

Equivalent Fractions

- Any time you multiply any number by 1, you get

the number as the answer. - For example 5 1 5
- Think for a minute Isnt 2/2 1? How about

3/3? - So 5 2 10 or 5
- 2 2

Fraction Fish

1 2

2 4

4 8

8 16

16 32

Your turn to make an Equivalent Fraction.

- 2/3
- ¾
- 1/8
- 9/16

How do we simplify Fractions?

- Guess and Check Method
- Remember, if we multiply the numerator and

denominator of a fraction by the same number, we

do not change the value of the fraction. - If we divide the numerator and denominator by 2,

isnt that the same as multiplying by ½? - Therefore, we can divide the numerator and

denominator by the same number and not change the

value of the fraction. - Do this until you cant do it anymore.

How do we simplify Fractions?

- Greatest Common Factor Method (GCF)
- Find the factors the numerator and denominator.
- 9 ( 1 , 3, 9)
- 27 (1, 3, 9, 27)
- Find the largest factor (GCF) in both list.
- Divide both the numerator and denominator by the

GCF. - 9 9 1
- 27 9 3

Find the GCF for the following pairs of numbers.

- 6 and 12
- 6 and 8
- 3 and 12
- 3 and 4

I understand that you dont like GCF. I didnt

like to use it either.

- I can show you a way to factor the numbers if you

want to do it that way. - 8

24

- 2 4

3 8 - 2 2

2 4 -

2 2 - 8 2 x 2 x 2 1
- 24 3 x 2 x 2 x 2 3

Simplify the following fractions.

- 7/14
- 8/24
- 4/6
- 6/8

Homework.

- .