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Intro to Fractions and Fractions in Simplest

Form

- CA Standard
- Determine the greatest
- common divisor
- and use it to solve problems
- with fractions. (NS 2.4)

A Trip Down Memory Lane

- a Numerator (NU)
- b Denominator (DE)
- de nu
- A form of one
- Anything divided by itself is one.
- A fraction with the same numerator and

denominator is called a form of one. - Some examples
- a/a1 3/31 14/141 57/571

Vocabulary

- Equivalent
- Same
- Equal
- Equivalent Fractions
- Two or more fractions that name the same amount.
- 2/3
- 4/6

One Whole

- Simplest form
- A fraction that can no longer be reduced, because

the numerator and denominator have no more common

factors other than one. - Multiple
- Multiple sounds like multiply because you have to

multiply to get a multiple. - Is the product of a number and any nonzero

number. - Multiples of
- 2 2, 4, 6, 8, 10, 12
- 7 7, 14, 21, 28, 35
- X 2x, 3x, 4x, 5x, 6x.

To find equivalent fractions7/8 and 3/4

- Multiply the original fraction by form of one.
- 7 2 14
- 8 2 16
- 3 5 15
- 4 5 20

- You try
- 1
- 2

To Reduce a fraction24/30

- Divide top and bottom by a common factor.
- 24 1, 2, 3, 4, 6, 8, 12, 24
- 30 1, 2, 3, 5, 6, 10, 15, 30.
- 24 3 8
- 30 3 10

- This method can also be used to find equivalent

fractions.

To ensure that your fraction is in simplest form

you.

- MUST USE THE GCF OF THE NUMERATOR AND THE

DENOMINATOR.

Fractions in Simplest Form

- 12
- 18
- 12 18
- 4 3 6

3 - 2 2 3 2
- 2 2 3
- 2 3 3
- 2 3
- GCF 6
- 12 6 2
- 18 6 3

- Find the GCF of the NU and the DE. (Factor tree)
- Divide original fraction by the GCF over the GCF.
- If GCF 1 then
- the fraction is in
- simplest form.

Find the Simplest form of the fractions

- 25 17 16
- 35 20 24

Please write your summary.

- Use your own words
- Include examples
- Include tricky things to remember
- Explain how to check your answer