I ♥ Fractions
Fractions Study Guide
Test: Friday, November 19, 2010

Simplest Form/Lowest Terms/Reducing
o Examples:
Write in Simplest Form
10  2 5

12  2 6

3
15
15  5
3
3
3
20
20  5
4
Mixed Numbers & Improper Fractions
o Examples:
Mixed Number to Improper Fraction
3
2 32

10 10
1 6
1 
5 5
Improper Fraction to Mixed Number
15
1
2
7
7
21
7
1
1 1
14
14
2
 Adding & Subtracting Fractions
1. Rewrite with Common Denominators
2. Add/Subtract Numerators, Keep Denominators the Same
3. Always Rewrite improper fractions to mixed numbers and/or Reduce answers to lowest terms
o Examples:
3 4
 
4 6
33 4 2



43 62
9
8 98
1
 


12 12
12
12


2
2
 ( ) 
3
5
25 23


35 53
10 6 10  6 16
1



1
15 15
15
15
15
Adding & Subtracting Mixed Numbers
1. Rewrite with Common Denominators
2. BORROW from the whole number when subtracting a larger numerator from a smaller numerator
3. Add/Subtract numerators, Keep denominators the same
4. Add/Subtract whole numbers
5. Always Rewrite improper fractions to mixed numbers and/or Reduce answers to lowest terms
o Examples:
2
4
1 3 
3
6
22
4 1
1
3

3 2
6 1
4
4
44
8
2
1
1  3  1 3
4 5 5
6
6
6
6
6
3
1
1
3 1 
3
2
1 2
1 3
3
1

3 2
23
2
3
3 1 
6
6
8
3
83
5
2 1  2 1
1
6
6
6
6

Multiplying Fractions & Mixed Numbers
1. Rewrite mixed numbers as improper fractions
2. Multiply numerators, Multiply denominators
3. Always Rewrite improper fractions to mixed numbers and/or Reduce answers to lowest terms
o Examples:
2 1 22
1
  

4 5 20  2
10

1
5
3 15
1
 2  (3)  ( )  ( ) 
7
2
2
1
2
2
Dividing Fractions & Mixed Numbers
1. Rewrite mixed numbers as improper fractions
2. Keep the first number the same, multiply by the reciprocal of the second number
3. Multiply numerators, Multiply denominators
4. Always Rewrite improper fractions to mixed numbers and/or Reduce answers to lowest terms
o Examples:
2
1
 ( )
3
6
2
6
26
12
 ( ) 
   4
3
1
3 1
3
1 1 16 4
3 1 

5 3 5 3
16 3 48
8
2
 
2
2
5 4 20
20
5
Rules for Adding & Subtracting Integers
Addition:



Same Signs Sum (ADD)
Different Signs Difference (SUBTRACT)
Use the sign of the number with the greatest
absolute value
Rules for Multiplying & Dividing Integers



Multiply/Divide
If the signs are the same, the answer is
always positive (+)
If the signs are different, the answer is
always negative (-)
Subtraction:


Rewrite…Add the Opposite
Follow the addition rules
Tips & Tricks for the Test





Read each question carefully so that you know what the question is asking
Always reduce answers to their simplest form
Use correct integer addition, subtraction, multiplication and division
Double check your answers
Show your work