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.