 # Simplifying Fractions

## Presentation on theme: "Simplifying Fractions"— Presentation transcript:

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 .

Write fractions in simplest form.
Target: Write fractions in simplest form.

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

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

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.

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.

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.

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

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