Download Fractions and Decimals

Lesson 1
Simplifying Fractions
1.
List the factors of 21.
2.
List the factors of 12.
3.
What fraction is represented by the model?
4.
1
2
Write two fractions that are equivalent to .
Targets:
Write fractions in simplest form.

Fraction: A number that represents a part of a whole
number.

Equivalent Fractions: Fractions that represent the same
number but have different numerators and denominators.

Greatest Common Factor: Greatest factor that is common to
two or more numbers.

Simplest Form: When a numerator and denominator’s only
common factor is 1.

Divide the numerator and denominator by the greatest
common factor (GCF).
- OR 
Divide the numerator and denominator by common
factors until the only common factor is 1.
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 10 and 15.

Prime factorizations:
◦ 10 = 2 · 5
◦ 15 = 3 · 5

The only common factor is 5. GCF = 5.
Find the GCF of 24 and 36.

Prime factorizations:
◦ 24 = 2 · 2 · 2 · 3
◦ 36 = 2 · 2 · 3 · 3

Common factors: 2 · 2 · 3 = 12.
GCF = 12.
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.

3
One is the only remaining common factor. is in simplest
4
form.

3
Find two fractions that are equivalent to 12 .

Find the GCF of 32 and 48.

Write each fraction in simplest form.
a.
15
18
b.
30
80
Describe a situation where you might see a fraction that
is not in simplest form.