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FOUNDATIONS
Outline Sec. 3-4
Cierech/Dahl
Name:
Date:
Addition and Subtraction of Rational Numbers
Changing an improper fraction to a mixed numeral
A fraction such as
12
7 , where the numerator is
than the
denominator is called an
Process:
 Divide: denominator into numerator:
How many times does 7 divide 12 evenly?
 What is the remainder?
 The numerator of the fraction part of the mixed number is the remainder. The
denominator is the number you
by.
 What is the fraction component?
 Rewrite as a mixed number:
Examples: Rewrite as a mixed number:
a)
25
6
b) 
37
14
c)
156
36
Fractions With Like Denominators:
When adding or subtracting fractions with like denominators, simply add or subtract the
and place the total over the denominator.
1 3 2 5
Example -    
8 8 8 8
=
Your Turn: Find the sum of the following fractions:
a)

3 6

8 8
b)
3
1
5
4
6
6
c) 2
Fractions with Unlike Denominators:
1. Find a
denominator
2. Rewrite the
fractions.
3. Add the
.
4. Reduce the fraction to
Add:
3 3
 
4 7
terms.
=
Your Turn: Find the sum of the following fractions:
2
6
a)   3
3
7
1
5

5
b)
2
6
=
3
2
3
7
7
2
7  1


1
  8 
c)
3
8  2
d) 6
4
7
9
5
8
Find two mixed numbers that have the given sum:
a) 6
3
8
b) 2
4
9
Find two mixed numbers that have the given difference:
a) 4
1
3
Homework :
b) 1
1
2
Section 3.4 pages 152-153 #’s 6-56 even