Operations with Rational Numbers

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Operations with Rational Numbers
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Any number that can be written in the form ,
where m and n are
integers and n 0, is called a rational number
In other words, fractions.
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Fractions are used when we need to identify part
of a whole.
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To combine Rational Numbers, you must have a
COMMON DENOMINATOR
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• The LCD is the smallest number that all the
  denominators divide into evenly.

Think of the LCD for the following pairs of
numbers
2 and 3
LCD 6
3 and 4
LCD 12
2 and 7
LCD 14
3 and 6
LCD 6
7
For example
X 4
X 3

• 1 1

4
3
7 12


3 4
12 12
X 3
X 4
8
For example
X 5
X 3

• 2 1

10
3
13 15


3 5
15 15
X 3
X 5
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For example
X 5
X 2

• 1 - 2

5
4
1 10

-
2 5
10 10
X 2
X 5
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For example
X 5
X 4
15
8
23 20

• 3 2

4 5
20 20
X 4
X 5
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Multiplying and Dividing Rational Numbers
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To multiply Rational Numbers, multiply
corresponding numerators and denominators

• For example

12
3 4

5 7
35
13
4
1 4

3 5
15
2
1 2

3 3
9
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For divisionFlip the second RN and Multiply
5
2

?
7
3
5 3

• 15

7 2
14
15
5
2

4
7
35
5 7

4 2
8
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• See Sheets

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