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## Intro to Fractions and Fractions in Simplest Form

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### To find equivalent fractions: 7/8 and 3/4. Multiply the original fraction by form of one. ... This method can also be used to find equivalent fractions. ... – PowerPoint PPT presentation

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Title: Intro to Fractions and Fractions in Simplest Form

1
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)

2
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

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

One Whole
4
• 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.

5
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

6
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.

7
To ensure that your fraction is in simplest form
you.
• MUST USE THE GCF OF THE NUMERATOR AND THE
DENOMINATOR.

8
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.

9
Find the Simplest form of the fractions
• 25 17 16
• 35 20 24

10