10. Even if a fraction looks different from another
fraction, they may actually represent the
same amount only that one of the fractions
has reduced terms compared to the other.
14. Reducing fractions to lowest terms involves division, thus
you will need your prior knowledge on division. In this
lesson, you will learn how to change fraction to its lowest
term by dividing both the numerator and denominator
with their Greatest Common Factor (GCF). You will be
reminded also of the different methods of getting the GCF.
18. We can reduce a fraction to its lowest term by dividing the
numerator and the denominator with their Greatest
Common Factor (GCF) using any of the following methods:
Listing Method
Prime Factorization
Continuous Division
19. Example: Reduce to its lowest form.
2
------
8
In order to reduce the given fraction, identify first the Greatest Common
Factor (GCF) of its numerator and denominator.
Factors of 2: 1 and 2
Factors of 8: 1, 2, 4, and 8
Common Factors of 2 and 8: 1 and 2
Greatest Common Factor of 2 and 8: 2
22. Example: Reduce to its lowest form.
3
------
9
In order to reduce the given fraction, identify first the Greatest Common
Factor (GCF) of its numerator and denominator.
Factors of 3: 1 and 3
Factors of 9: 1, 3, and 9
Common Factors of 3 and 9: 1 and 3
Greatest Common Factor of 3 and 9: 3
25. Example: Reduce to its lowest form.
5
------
20
In order to reduce the given fraction, identify first the Greatest Common
Factor (GCF) of its numerator and denominator.
Factors of 5: 1 and 5
Factors of 20: 1, 2, 4, 5, 10, and 20
Common Factors of 5 and 20: 1 and 5
Greatest Common Factor of 5 and 20: 5
28. Example: Reduce to its lowest form.
9
------
27
In order to reduce the given fraction, identify first the Greatest Common
Factor (GCF) of its numerator and denominator.
Factors of 9: 1, 3, and 9
Factors of 27: 1, 3, 9, and 27
Common Factors of 9 and 27: 1, 3, and 9
Greatest Common Factor of 9 and 27: 9
31. Example: Reduce to its lowest form.
6
------
16
In order to reduce the given fraction, identify first the Greatest Common
Factor (GCF) of its numerator and denominator.
Factors of 6: 1, 2, 3, and 6
Factors of 16: 1, 2, 4, 8, and 16
Common Factors of 6 and 16: 1 and 2
Greatest Common Factor of 6 and 16: 2
35. Identify the fraction represented by each figure. Then, encircle the fraction which is
in its lowest form.
NAME:_____________________________________________________________________________________
2
8
1
4
Example
36. Identify the fraction represented by each figure. Then, encircle the fraction which is
in its lowest form.
NAME:_____________________________________________________________________________________
Set A
37. Identify the fraction represented by each figure. Then, encircle the fraction which is
in its lowest form.
NAME:_____________________________________________________________________________________
Set B
38. Identify the fraction represented by each figure. Then, encircle the fraction which is
in its lowest form.
NAME:_____________________________________________________________________________________
Answer Key
2
6
1
3
1
2
4
8
3
4
6
8
Set A
39. Identify the fraction represented by each figure. Then, encircle the fraction which is
in its lowest form.
NAME:_____________________________________________________________________________________
Answer Key
1
4
2
8
4
6
2
3
3
4
6
8
Set B
41. READ THE FOLLOWING TRIVIA OR
SCIENCE FACTS ON THE SUCCEEDING
SLIDES. THEN, ANSWER THE
QUESTIONS THAT FOLLOW.
42. Our solar system’s eight planets come in two classifications: smaller rocky planets with solid ground
(Mercury, Venus, Earth and Mars) and larger gas giants (Jupiter, Saturn, Uranus, and Neptune).
43. QUESTIONS:
1. What fraction represents the number of small rocky planets
with solid grounds?
2. What fraction represents the number of planets which
belong to larger gas giants?
3. How do you express your answers in numbers 1 and 2 in
their lowest forms?
44. Earth's surface is covered with about 70 percent of water and
30 percent of land.
45. QUESTIONS:
1. What fraction of Earth's surface is covered by
water?
2. What fraction of Earth's surface is covered by land?
3. How do you express your answers in numbers 1
and 2 in their lowest forms?
46. With an average of roughly 60
percent, most of the human body
is water. The amount of water in
the body changes slightly with
age, gender, and hydration levels.
47. QUESTIONS:
1. What fraction represents the average
percentage of water in the human body?
2. How do you express your answer in
number 1 in its lowest form?
48. QUESTIONS:
1. What fraction represents the number of small rocky planets
with solid grounds?
2. What fraction represents the number of planets which
belong to larger gas giants?
3. How do you express your answers in numbers 1 and 2 in
their lowest forms?
Answer Key
4
------
8
4
------
8
1
------
2
1
------
2
49. QUESTIONS:
1. What fraction of Earth's surface is covered by
water?
2. What fraction of Earth's surface is covered by
land?
3. How do you express your answers in numbers 1
and 2 in their lowest forms?
Answer Key
70
------
100
30
------
100
7
------
10
3
------
10
50. QUESTIONS:
1. What fraction represents the average
percentage of water in the human body?
2. How do you express your answer in
number 1 in its lowest form?
Answer Key
60
------
100
3
------
5
52. A fraction is in its lowest form if the numerator
and the denominator have no other common
factor except 1.
To reduce a fraction to its lowest form, divide the
numerator and denominator by their Greatest
Common Factor (GCF).
57. Fill in the box with the correct numerator or denominator to get the lowest form of
each fraction.
NAME:_____________________________________________________________________________________
18
27 3
20
25 5
14
18 9
20
40
1 6
36
30
45
1 2
58. Fill in the box with the correct numerator or denominator to get the lowest form of
each fraction.
NAME:_____________________________________________________________________________________
18
27 3
20
25 5
14
18 9
20
40
1 6
36
30
45
1 2
Answer Key
2 4 7
2 6 3
