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
Please write your summary.

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