Simplify Fractions Using the Highest Common Factor
Simplify these fractions into the simplest form,
writing the highest common factor in the table. The first one is done for you.
Highest Highest
Simplified Simplified
Fraction Common Fraction Common
Fraction Fraction
Factor Factor
4 1 16
12
4 3 20
3 15
9 18
6 18
8 32
10 24
15 32
8 15
14 35
10 14
12 22
6 6
18 27
9 36
18 63
12 15
16 21
6 24
15 48
8 50
24 75
6 45
21 75
15 24
25 52
12 8
32 44
9 35
45 49
21 48
28 84
Page 5 of 39
Use Common Multiples
Express all the fractions in each set in fractions with the same denominator.
1.
3 2 1 1 7
4 5 2 4 10
20 20 20 20 20
2.
1 3 1 5 1
3 4 6 6 4
12 12 12 12 12
3.
5 3 1 1 7
8 4 8 2 3
4.
7 1 5 2 3
9 3 12 9 4
5.
1 3 7 2 1
12 10 8 3 4
Page 6 of 39
Express Fractions
Express the following fractions with the same denominator.
3 7 6 7 1 7 3 11
4
and 8 8
and 8 6
and 18
and 5
and 20
and
3 17 1 13 7 5
8
and 24
and 2
and 16
and 12
and 6
and
7 4 3 3 17 7
15
and 5
and 16
and 4
and 20
and 10
and
1 7 5 19 7 23
8
and 32
and 12
and 36
and 10
and 30
and
4 2 7 1 8 4
21
and 3
and 24
and 6
and 27
and 9
and
7 3 4 5 5 1
28
and 7
and 11
and 44
and 8
and 3
and
2 1 5 3 1 1
5
and 2
and 6
and 8
and 2
and 6
and
7 5 11 3 5 3
12
and 8
and 15
and 4
and 12
and 5
and
7 1 1 3 2 11
8
and 5
and 7
and 4
and 9
and 15
and
5 10 1 13 7 5
6
and 11
and 2
and 15
and 9
and 8
and
7 4 3 7 11 2
12
and 7
and 15
and 12
and 20
and 3
and
11 7
15
and 8
and
Page 7 of 39
Compare Fractions
Use the symbols < > or = to compare these fractions.
You may need to rewrite the fractions with the same denominator.
1. 1 1 2. 1 3
3 4 5 15
3. 3 7 4. 2 3
5 10 7 8
5. 1 4 6. 5 27
2 8 3 16
7. 25 11 8. 5 2
9 4 12 5
9. 11 3 10. 30 5
15 4 24 4
Page 8 of 39
Compare Fractions (2)
Use the symbols < > or = to compare these fractions.
You may need to rewrite the fractions with the same denominator.
1. 7 6 2. 11 99
9 7 8 72
3. 5 21 4. 44 7
6 25 50 8
5. 35 49 6. 6 2
50 70 17 5
7. 8 47 8. 24 51
9 53 11 23
9. 22 7 10. 56 77
13 4 63 99
Page 9 of 39
Order Fractions
Order these fractions from smallest to largest.
You may wish to write the fractions with a common denominator.
1. 3 1 1 3 7
8 2 4 4 8
8 8 8 8 8
smallest largest
2. 7 11 2 3 5
12 12 3 4 6
12 12 12 12 12
smallest largest
3. 6 17 3 9 13
5 10 2 5 10
10 10 10 10 10
smallest largest
Page 10 of 39
Order Fractions (2)
Order these fractions from smallest to largest.
You may wish to write the fractions with a common denominator.
1. 5 1 1 3 3
8 2 3 4 8
24 24 24 24 24
smallest largest
2. 11 31 12 8 17
4 12 5 3 6
smallest largest
3. 2 1 4 1 1
7 4 9 3 8
smallest largest
Page 11 of 39
Compare and Order Fractions
1. Circle the larger fraction.
5 7 1 13 13 12 25 21
a. b. 2 c. d.
8 4 5 6 8 7 6 5
2. Circle the smaller fraction.
15 19 8 4 24 13 19 17
a. b. 2 c. d.
8 10 3 5 7 4 6 5
3. Use the correct sign to compare these fractions (<, > or =)
9 7 3 1
a. b. 2 2
4 3 7 6
9 8 9 12
c. d.
8 7 6 8
17 3 27 29
e. 3 f.
5 10 4 7
3 26 28 42
g. 2 h.
5 10 4 7
4. Order the following fractions from smallest to largest.
a. 3 5 4 b. 3 8 11
1
2 4 3 4 3 6
smallest largest smallest largest
c. 12 1 11 d. 9 14 17
2
5 3 4 2 3 4
smallest largest smallest largest
Page 12 of 39
e. 1 15 7 17 f. 24 7 9 5
3
6 4 2 5 10 3 4 2
smallest largest smallest largest
g. 17 27 3 7 h. 28 51 1 111
1
12 20 2 5 25 50 10 100
smallest largest smallest largest
5. Order 3 of the following fractions from smallest to largest.
a. 5 6 2 11 b. 15 14 8 9
1
3 4 5 8 4 5 3 6
smallest largest smallest largest
c. 9 4 12 1 d. 13 15 1 11
1 1
5 3 6 2 10 12 8 6
smallest largest smallest largest
6. This list of numbers is in size order. Identify whether the
largest number is at the beginning or at the end.
26 10 17 24
8 3 5 7
7. This list of numbers is in size order from left to right. One number is in
the wrong place. Circle the number that is in the wrong place.
19 14 23 47 9
4 3 5 10 2
Page 13 of 39
