The document is a worksheet designed to help users practice simplifying fractions, containing fifteen exercises with detailed steps for each problem. It outlines a three-step method to simplify fractions, including writing down factors, identifying the largest common factor, and dividing both numbers by that factor. Worked-out answers are provided for users to check their solutions.

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Simplifying Fractions - Worksheet
This is the complimentary worksheet for this tutorial. Below are fifteen different exercises for you to
work through in your own time, with worked-out answers on the following pages for you to check your
answers against.
Remember the three steps involved in simplifying a fraction are:
1. Write down each number's factors.
2. Identify the largest common factor.
3. Divide both numbers by largest common factor.
Exercises
Initial Fraction Step 1 Step 2 Step 3 Answer
80
/560
Numerator:
Denominator:
___ is the largest
common factor
28
/56
Numerator:
Denominator:
___ is the largest
common factor
5
/15
Numerator:
Denominator:
___ is the largest
common factor
25
/75
Numerator:
Denominator:
___ is the largest
common factor
10
/110
Numerator:
Denominator:
___ is the largest
common factor
40
/60
Numerator:
Denominator:
___ is the largest
common factor

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40
/100
Numerator:
Denominator:
___ is the largest
common factor
12
/42
Numerator:
Denominator:
___ is the largest
common factor
10
/32
Numerator:
Denominator:
___ is the largest
common factor
24
/36
Numerator:
Denominator:
___ is the largest
common factor
30
/75
Numerator:
Denominator:
___ is the largest
common factor
16
/44
Numerator:
Denominator:
___ is the largest
common factor
46
/164
Numerator:
Denominator:
___ is the largest
common factor
65
/100
Numerator:
Denominator:
___ is the largest
common factor
28
/49
Numerator:
Denominator:
___ is the largest
common factor

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Answers
Initial Fraction Step 1 Step 2 Step 3 Answer
80
/560
Numerator: 1, 2, 4,
5, 8, 10, 16, 20, 40,
80
Denominator: 1, 2,
4, 5, 7, 8, 10, 14, 16,
20, 28, 35, 40, 56,
70, 80, 112, 140,
280, 560
80 is the largest
common factor
80 ÷ 80 = 1
560 ÷ 80 = 7
1
/7
28
/56
Numerator: 1, 2, 4,
7, 14, 28
Denominator: 1, 2,
4, 7, 8, 14, 28, 56
28 is the largest
common factor
28 ÷ 28 = 1
56 ÷ 28 = 2
1
/2
5
/15
Numerator: 1, 5
Denominator: 1, 3,
5, 15
5 is the largest
common factor
5 ÷ 5 = 1
15 ÷ 5 = 3
1
/3
25
/75
Numerator: 1, 5, 25
Denominator: 1, 3,
5, 15, 25, 75
25 is the largest
common factor
25 ÷ 25 = 1
75 ÷ 25 = 3
1
/3
10
/110
Numerator: 1, 2, 5,
10
Denominator: 1, 2,
5, 10, 11, 22, 55, 110
10 is the largest
common factor
10 ÷ 10 = 1
110 ÷ 10 = 11
1
/11
40
/60
Numerator: 1, 2, 4,
5, 8, 10, 20, 40
Denominator: 1, 2,
3, 4, 5, 6, 10, 12, 15,
20, 30, 60
20 is the largest
common factor
40 ÷ 20 = 2
60 ÷ 20 = 3
2
/3
40
/100
Numerator: 1, 2, 4,
5, 8, 10, 20, 40
Denominator: 1, 2,
4, 5, 10, 20, 25, 50,
100
20 is the largest
common factor
40 ÷ 20 = 2
100 ÷ 20 = 5
2
/5
12
/42
Numerator: 1, 2, 3,
4, 6, 12
Denominator: 1, 2,
3, 6, 7, 14, 21, 42
6 is the largest
common factor
12 ÷ 6 = 2
42 ÷ 6 = 7
2
/7

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10
/32
Numerator: 1, 2, 5,
10
Denominator: 1, 2,
4, 8, 16, 32
2 is the largest
common factor
10 ÷ 2 = 5
32 ÷ 2 = 16
5
/16
24
/36
Numerator: 1, 2, 3,
4, 6, 8, 12, 24
Denominator: 1, 2,
3, 4, 6, 9, 12, 18, 36
12 is the largest
common factor
24 ÷ 12 = 2
36 ÷ 12 = 3
2
/3
30
/75
Numerator: 1, 2, 3,
5, 6, 10, 15, 30
Denominator: 1, 3,
5, 15, 25, 75
15 is the largest
common factor
30 ÷ 15 = 2
75 ÷ 15 = 5
2
/5
16
/44
Numerator: 1, 2, 4,
8, 16
Denominator: 1, 2,
4, 11, 22, 44
4 is the largest
common factor
16 ÷ 4 = 4
44 ÷ 4 = 11
4
/11
46
/164
Numerator: 1, 2, 23,
46
Denominator: 1, 2,
4, 41, 82, 164
2 is the largest
common factor
46 ÷ 2 = 23
164 ÷ 2 = 82
23
/82
65
/100
Numerator: 1, 5, 13,
65
Denominator: 1, 2,
4, 5, 10, 20, 25, 50,
100
5 is the largest
common factor
65 ÷ 5 = 13
100 ÷ 5 = 20
13
/20
28
/49
Numerator: 1, 2, 4,
7, 14, 28
Denominator: 1, 7,
49
7 is the largest
common factor
28 ÷ 7 = 4
49 ÷ 7 = 7
4
/7