# Fractions by HC111123013553

VIEWS: 21 PAGES: 18

• pg 1
1 2            1 2        1 2
3 4  1 2                     22 15
36         4 5  3        4 5        4 5        1
4
1               7 9    4 54                       29
36
2          76
15            1 24
2                                 3
22      10 15 
7 3    15
29            4 5 7 10
15
76 22
36 15 22       15 22 29
22     29 4 Fractions 4 15                                29
76 29 2 3 2
1                      2                          22
15
           7       1 24
 27       74
3            29
4 5           4       3 4
4           1 2                             7 9
2                        7 9 4   5
15 1 2       4 5                                              4
22 7                     1                                    2
29 4 5               Rules for          15
7
3
Avoiding Common Errors 22
4               36
10        2                                       29
15                36
7 15          
3
76
22    15                                      15
29          36 22 76           4         22          36
29                  4        29
76                     2                 76
7
40
Simplifying         Reduce
10
4  10     4
=           =     = 4
1  10    1
10 = Greatest Common Factor

Write the numerator and denominator as a product of factors,
then cancel common factors and obtain the result.
16
Simplifying
72
44       4                        22             2
=           =                     =                =
4  18    18                       29             9

Write the numerator and denominator as a product of common
factors then cancel the common factors and obtain the result.

Repeat the simplification process until all common factors are removed.
Converting Mixed Numbers

5 1
3
      +                 16
=
3

Multiply the whole number by the denominator
Add the numerator to the result
Place over the initial denominator
Compute the final result
Converting Mixed Numbers

6 2
9
      +                 56
=
9

Multiply the whole number by the denominator
Add the numerator to the result
Place over the initial denominator
Compute the final result
Multiplying

3 10   3 10  3 2 5    15
              
   =      =        =
8 11   8 11   4 2 11   44

a c  ac
       Fraction Multiplication
b d bd
Fraction Simplification
Multiplying

2 15   2 15  2 3 5   5  
              
   =      =       =
3 4    3 4    3 2 2   2

a c  ac
       Fraction Multiplication
b d bd

Fraction Simplification
Dividing
12       3   12                                  7 28
     =               = 34            
3
=
5       7    5                5                     5

a c a d
          Fraction Division
b d b c
Fraction Simplification and Multiplication
4          8
Dividing      4
5
   15
=

24     8 24
 =                  = 38            
35
8
5    15  5                   5
9
=        = 9
1
a c a d
        Fraction Division
b d b c
Fraction Simplification
Fraction Multiplication
Mixed Number Conversion
Fraction Simplification

3 - 1    =           = 2 = 1
8   8                  8   4
8
a b  ab
c c   c

11   2 = 11  2 ??? 11 + 8
11 2 4
+        +      =
28   7 28  7 4
28 7        28 28
= 11 + 8 = 19
28         28     28

a b   ab
Denominator = ??????
Common 
c c    c
Rules of Fractions Review
•   Fraction Simplification
•   Mixed Number Conversion
•   Fraction Multiplication
•   Fraction Division
21
YOU TRY IT     13
8                    45
3 1    5   4
2        
8 4    9 15

3 12     5   4
         
2 15    12 3
6                      5
5                     16
Fractions: Steps for Success
1. Know the fraction rules and how to apply
them
2. Show your work and write out each step
3. Check your work for errors or careless
mistakes
3 1   19 + 1
2   =              Mixed Number Conversion
8 4    8   4
=    +
8    8
21
8
5   4   25 - 12
   =           Fraction Subtraction
9 15    45   45

13
=      Fraction Subtraction
45
3 12     3           3  4 Fraction Simplification
     =
2

2 15                 35
3   
4
=                 Fraction Simplification
2           5
3   
2  2 Fraction Simplification
=
2            5
3   
2 Fraction Simplification
= 1           5
6
=         Fraction Multiplication
5
5   4    5     3
   =            Fraction Division
12 3     12     4
5    3
= 34  4         Fraction Simplification

5  1
=              Fraction Simplification
4   4
5
=      Fraction Multiplication
16

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