This is a simple maths exercise worksheet based on how to simplify fractions. It has FIFTEEN exercises for you to work through in your own time. The answers are also attached, with notes on how to arrive at the correct answer. This worksheet is related to the NinetyEast tutorial available here: http://www.ninetyeast.net/maths/foundation/numbers/fractions/simplifying-fractions

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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