Simplest Form

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Simplest Form

• By Mr. Bales

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Objective

• By the end of this lesson, you will be able to
  write a fraction in simplest form.
• Standard 4NS1.5 - Students will explain different
  interpretations of fractions, for example,
  ..division of whole numbers by whole numbers
  explain equivalence of fractions.

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Introduce

• Some fractions are easer to understand than
  others.
• What is 1/4 of a dollar?
• What is 2/8 of a dollar?
• These are actually the same amounts. Its just
  that 1/4 is a lot easier to understand since its
  in simplest form.

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You Try

• On your desk you will find some money. You need 4
  quarters and 10 dimes.
• How much is 1/2 of a dollar?
• How much is 5/10 of a dollar?
• How much is 2/4 of a dollar?
• These fractions ( 1/2, 5/10, and 2/4) are
  equivalent fractions.

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Teach

• There are 12 questions on a quiz. Andrew got 8
  out of 12 or 8/12 of the questions correct.
• What is 8/12 in simplest form?

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Simplest Form

• Simplest form is when the numerator and
  denominator have no common factor other than one.
• In other words, no other factor than 1 can go
  into the numerator and denominator evenly.

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Simplest Form vs. NOT Simplest Form

• Fractions in Simplest Form
• 1/2
• 2/3
• 3/4
• 3/7
• 5/8

• Fractions NOT in Simplest Form
• 2/4
• 4/6
• 8/10
• 8/12
• 16/24

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Example

• Important - To change a fraction into its
  simplest form, you can divide both the numerator
  and the denominator by the greatest common factor
  (the biggest number that goes into both.)
• Write 8/12 in simplest form.
• Step 1 - Find the common factors.
• Factors of 8 1, 2, 4, 8
• Factors of 12 1, 2, 3, 4, 6, 12
• Common Factors 1, 2, and 4
• Step 2 - Divide the greatest common factor, 4.
• 8 4 2
• 12 4 3

The numbers 2 and 3 have no common factor other
than 1.
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Another Example

• You can also change a fraction into simplest form
  by dividing by common factors (may not be the
  greatest factor)
• Step 1 - Write a fraction.
• 18
• 24
• Divide by common factors.
• 18 18 2 9
• 24 2 12
• 9 9 3 3
• 12 12 3 4

A common factor of 18 and 24 is 2.
A common factor of 9 and 12 is 3.
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Bales Bucks!!
Real World Example!!
Now a Game!!!
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Assignment

• Page 524 - s 7 - 22
• Get them all correct - No Math Homework