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The ideas in this fraction lesson are taken from the Math Mammoth Fractions 2 book. Only a few examples of each problem type are shown; you should make more problems of each kind for the student.

Multiply Fractions by Whole Numbers
Free fraction lesson plan from HomeschoolMath.net



1. a. Color first 

3

8

 .  Color another 

3

8

 .  Continue
        till you have colored five times 

3

8

  .
 
      5 ×  

3

8

  =
[available in the book]
    c. Color five times 

7

12

  .
 
       5 ×  

7

12

  =
 
    e. [available in the book]

 

Multiplication of whole numbers can be solved by repeated addition:

  5 × 4  =  4 + 4 + 4 + 4 + 4  = 20              3 × 120  =  120 + 120 + 120  = 360

Multiplying a fraction by a whole number can be solved the same way:
3 ×

1

4

   =  

1

4

  + 

1

4

  + 

1

4

   =  3

4
5 ×

2

9

   =  

2

9

  + 

2

9

  + 

2

9

  + 

2

9

  + 

2

9

   = 

10

9

   =  1

1

9

2. Write the multiplication problems as addition problems and solve. Remember to give your answer as
    a mixed number and simplify the fractional parts to lowest terms whenever possible.

 a.  5 ×

1

4

 =
 
   
  f. [available in the book]


3. Solve. Can you find a SHORTCUT where you don't have to solve these by actually adding?

 a.   3 ×

2

9
     
     
h.   3 ×

3

10

 The shortcut is (explain) __________________________________________________________

____________________________________________________________________________
 

We know multiplication can be done in any order.
In other words, multiplication is commutative.
So, 5 ×

3

8

  is the same as 

3

8

 × 5.  Both equal 

15

8

 or 1

7

8

 .

4. Multiply.

  a.   5 ×

7

9
[available in the book]    
     
h.  

12

17

   × 10

 

A fraction of a number is the same as that fraction TIMES the number. 
In other words, the word 'of ' translates into multiplication. For example:

3

7

 of 14  is

3

7

 × 14. You can solve this by multiplying 14 ×

3

7

   = 

42

7

  = 6.

 

5. a.  Marlene wants to cut down on sugar - so she decided to
         only use 2/3 of the amount of sugar mentioned in the
         recipe. How much sugar will she need?
 

    b.  [available in the book]

  
Brownies

1/2 C butter
2 C brown sugar
4 eggs
12 tbsp cocoa powder
2 cups flour
1 tsp vanilla

 

Next lesson: Multiplying fractions by fractions


The ideas in this fraction lesson are taken from the Math Mammoth Fractions 2 book. Only a few examples of each problem type are shown; you should make more problems of each kind for the student.









 

 
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