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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 .

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**Write fractions in simplest form.**

Target: Write fractions in simplest form.

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**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

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**Find two fractions that are equivalent to .**

Multiply the top and bottom by the same number. Divide the top and bottom by

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**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.

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**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.

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**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.

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**Find one fraction that is equivalent to .**

Find the GCF of 18 and 45. Write each fraction in simplest form a b.

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**Pizza Describe a situation where you might see a fraction that**

is not in simplest form.

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