1. 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 .

2. Write fractions in simplest form.
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 = 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

5. 45 = 3 · 3 · 5 60 = 2 · 2 · 3 · 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. 20 = 2 · 2 · 5 50 = 2 · 5 · 5 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.