Mixed numbers: Multiplication
Step 1: Change to improper fractions
a} multiply the denominator by the whole number part
b} add the numerator
c} place over the original denominator.
*** Make a whole number a fraction by place the number over one. ***
3
5  3  3 4 15  3 4 18 4
3 4 
 
  
5
5
1
5
1 5 1
Step 2: Multiply the numerator times the numerator and the denominator
times the denominator.
18 4 18  4 72
 

5 1 5 1
5
Step 3: Rewrite as a mixed number or reduce or both, if necessary.
a} divide the denominator into the numerator
b} the quotient (number on top of the division
bracket) is the whole number part
c} the remainder goes over the denominator to
make the fraction part
14
72
2
 5 72  14
5
5
70
2
Examples:
1 4
1 
4 25
4 1  1 4
Step 1 :

4
25
5 4
5 4
Step 2 : 

4 25 4  25
20 1
Step 3 :

100 5
Tri-County Technical College
1
1
1 6
5
2
5 1  1 2  6  1
Step 1 :

5
2
6 13 6  13
Step 2 :  
5 2
5 2
78
8
4
Step 3 :
7 7
10
10
5
May 2006
5 1
5 7
6 5
6 5  5 5 7 1
Step 1 :

6
5
7
6
35 36 3 5  3 6
Step 2 :  
6 5
6  5
1
Step 3 :
1
42
 42
1
Created by Tonia Faulling