Product of Whole Number and Fraction

Contributor: Marlene Vogel. Lesson ID: 12665

You are probably familiar with a times table; you know, 2 x 2 = 4, 12 x 12 = 144, stuff like that. But what about 8 x 1-7/8 and crazy stuff like that? Learn how to multiply and bake at the same time!

categories

Elementary

subject
Math
learning style
Kinesthetic, Visual
personality style
Lion, Otter, Beaver
Grade Level
Intermediate (3-5), Middle School (6-8)
Lesson Type
Skill Sharpener

Lesson Plan - Get It!

Audio:

Access the Fraction Whole Number Product Riddle and Fraction Whole Number Product Riddle Answer Key documents in Downloadable Resources in the right-hand sidebar to answer the following riddle:

How do squirrels feel when you hide their food?

By now, you know that when calculating an answer to a math problem, the word "product" means you need to use the operation of multiplication to solve the problem.

This lesson is a chance for you to sharpen your multiplication skills — specifically, multiplying whole numbers with fractions.

Refresh your memory!

Look at the example below to remind yourself of the steps involved in calculating the product of a fraction and a whole number.

Assume that you are asked to solve the problem below:

  4 x 2 =        
  3        

 

Step 1 Change the whole number into a fraction (It is as simple as putting a fraction line and the number 1 under the number 4.):

  4 x 2 =        
  1 3        

 

Step 2 Follow the rules for multiplying fractions (Find the product for the numerator by multiplying the numerators together and find the production for the denominator by multiplying the denominators together.):

  4 x 2 = 8      
  1 3 3      

 

Step 3 Change an improper fraction to a mixed number (if needed):

  4 x 2 = 8 = 2 2
  1 3 3 3

 

Practice makes perfect!

  • You'll need scratch paper and a pencil to complete the exercise below.
  • Work out the answer to each of the problems below on your paper.
  • Then, enter the correct numbers into the boxes to check your work!

See how quickly you can correctly answer all 12 problems:

  • How did you do?

Continue to challenge yourself throughout your math instruction by completing exercises like the one above and see how fast you can go without making any mistakes.

The Got It? section offers opportunities for you to connect this math skill with the real world.

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