Operations with Rational Numbers
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….
Fractions are used when we need to identify part of a whole.
To combine Rational Numbers, you must have a …
COMMON DENOMINATOR
• The LCD is the smallest number that all the denominators divide into evenly.
2 and 3
Think of the LCD for the following pairs of numbers
LCD = 6
3 and 4 LCD = 12
2 and 7 LCD = 14
3 and 6 LCD = 6
For example:
1 + 1 = 3 4 12 12
X 4
X 4
4 + 3
X 3
X 3
= 7 12
For example:
2 + 1 = 3 5 15 15
X 5
X 5
10
+ 3
X 3
X 3
= 13 15
For example:
1 - 2 = 2 5 10 10
X 5
X 5
5 - 4
X 2
X 2
= 1 10
For example:
3 + 2 = 4 5 20 20
X 5
X 5
15
+ 8
X 4
X 4
= 23 20
Multiplying and Dividing Rational Numbers
To multiply Rational Numbers, multiply corresponding
numerators and denominators
For example:
3 4 5 7
=
12
35
1 4 3 5
=
4
15
1 2 3 3
=
2
9
For division:Flip the second RN and Multiply
15
5 27 3
= ?
5 3 7 2
= 14
5 24 7
=
5 7 4 2
=
358
See Sheets
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