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Fractions and Decimals

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Simplifying Fractions List the factors of 45. List the factors of 60. What fraction is represented by the model? Write one fraction that is equivalent to . – PowerPoint PPT presentation

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Title: Fractions and Decimals


1
Simplifying Fractions
  1. List the factors of 45.
  2. List the factors of 60.
  3. What fraction is represented by the model?
  4. Write one fraction that is equivalent to .

2
Target Write fractions in simplest form.
3
  • Equivalent (Equal) Fractions Fractions that are
    but look different
  • cuz the numerators and denominators are
    different.
  • Factor A that goes into another evenly.
  • 6 3 2 3 is a FACTOR of 6
  • Greatest Common Factor (GCF) Biggest that can
    go evenly into two different numbers.
  • Simplest Form Lowest Terms or Reduced
    nothing goes into both the top bottom evenly

4
  • Find two fractions that are equivalent to .
  • Multiply the top and bottom by
  • the same number.
  • Divide the top and bottom by
  • the same number.

5
  • Find the GCF of 45 and 60.
  • Prime factorizations
  • 45 3 3 5
  • 60 2 2 3 5
  • Common factors 3 5 15.
  • GCF 15.

6
  • Write the fraction in simplest form
  • Find GCF of 20 and 50.
  • Prime factorization
  • 20 2 2 5
  • 50 2 5 5
  • Greatest Common Factor 2 5 10
  • Divide the numerator and denominator by
  • the GCF.

7
  • Write the fraction in simplest form
  • One common factor is 5.
  • A remaining common factor of 9 and 12 is 3.
  • One is the only remaining common factor. is
    in simplest form.

8
  • Find one fraction that is equivalent to .
  • Find the GCF of 18 and 45.
  • Write each fraction in simplest form. a.
    b.

9
Pizza
Describe a situation where you might see a
fraction that is not in simplest form.
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