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

1

Simplifying Fractions

Target:

Write fractions in simplest formWrite 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 = 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

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.

14

10

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.

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.

50

20

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.

60

45

4

3

Find one fraction that is equivalent to .

Find the GCF of 18 and 45.

Write each fraction in simplest form.

a. b.

12

3

18

15

80

30

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

4

1

8

2