Fraction Worksheet (Math)
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1
2Section 1.2: Fractions
You should be able to perform the four basic operations with fractions – add, subtract, multiply, and
divide. Let’s look at multiplication and division first (because its easier)!
§1 Reducing Fractions
A fraction in simplest form – when the numerator and denominator have no common factor other than
1.
PRACTICE
Reduce the following:
24
18
30
1)
2)
3)
36
10
48
§2 Multiplying Fractions
To multiply fractions, we simply multiply the numerators together, and then multiply denominators
3 15
45
×
=
together to get the product. For example,
. Note that we always reduce fractions, so the
5
8
40
9
result is
.
8
3
15
Note that
and
are not reducible themselves. However, because we are multiplying, we can cross-
5
8
3 15
3 3
9
×
= ×
cancel. Here, we can reduce the 15 with the 5 to get
, which equals
.
5
8
1 8
8
Please keep in mind, we can reduce and/or cross-cancel as many times as necessary.
PRACTICE
20 12
3
8
21 35
×
×
×
4)
5)
6)
9
5
16 15
10 14
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