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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
Please write your summary.
  • Use your own words
  • Include examples
  • Include tricky things to remember
  • Explain how to check your answer
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