Download RNE Lesson 01 Luke

Simplifying Fractions
1.
List the factors of 45.
2.
List the factors of 60.
3.
What fraction is represented by the model?
4.
1
.2
Write one fraction that is equivalent to
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=2

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
3 is a FACTOR of 6
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.
10
14
.
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
Write the fraction in simplest form:
50

Find GCF of 20 and 50.

Prime factorization:

Greatest Common Factor: 2 · 5 = 10

Divide the numerator and denominator by
the GCF.
◦ 20 = 2 · 2 · 5
◦ 50 = 2 · 5 · 5
45
Write the fraction in simplest form:
60
 One common factor is 5.


A remaining common factor of 9 and 12 is 3.
One is the only remaining common factor.
form.
3
4
is in simplest

Find one fraction that is equivalent to

Find the GCF of 18 and 45.

Write each fraction in simplest form.
a.

15
18
b.
30
80
3
.
12
Describe a situation where you might see a fraction that
is not in simplest form.
2 1

8 4