Fractions Packet - Examples And Worksheets With Answers Page 6
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423
6
is the reduced form of
.
4
8
When you divide both the top and bottom numbers of a fraction by the same
number, you are dividing by a form of one so the value of the fraction doesn’t
change, only the size of the numbers used to express it.
12
12
2
6
hese numbers are smaller but they can go lower
T
16
16
2
8
6
6
2
3
because both 6 and 8 can be divided by 2 again.
8
8
2
4
18
18
2
9
9
3
3
24
24
2
12
12
3
4
27
27
3
9
9
3
3
27
27
9
3
or
63
63
3
21
21
3
7
63
63
9
7
Exercise 3
(answers on page 39)
Try these. Keep dividing until you can’t divide anymore.
6
12
14
1.
2.
3.
=
=
=
8
15
18
8
6
16
4.
5.
6.
=
=
=
10
12
24
Good knowledge of times tables will help you see the dividers you need to
reduce fractions.
Here are some hints you can use that will help, too.
Hint 1
2
If the top and bottom numbers are both even, use
.
2
Hint 2
3
If the sum of the digits is divisible by 3 then use
.
3
111
looks impossible but note that 111 (1+1+1) adds up to three and 231 (2+3+1)
231
adds up to 6. Both 3 and 6 divide by 3 and so will both these numbers:
111
111
3
37
231
231
3
77
The new fraction doesn’t look too simple, but it is smaller than when we first started.
Fractions Packet
Created by MLC @ 2009 page 6 of 42
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