1. Multiplying Fractions by Whole Numbers
Measurement
Multiplying Fractions by Whole Numbers

2. Multiplying Fractions & Whole Numbers
Many problems require the multiplication of whole numbers by a fraction.
Example: Five packages of cookies are each ¾ full.
How many full packages would this be if they were combined?

3. Multiplying Fractions & Whole Numbers
We can use several strategies to solve this problem:
5 x ¾ =
By counting the number of quarters (1/4) blocks colored, we can determine the answer.
= 15/4 or 3 ¾

4. Multiplying and Dividing Fractions
Or, we can use a number line. 1 2 3 4 5 1 2 3 4
Answer: 5 x ¾ = 15/4 or 3 ¾

5. Multiplying Fractions & Whole Numbers
Another option: We can change the whole number to a fraction and multiply: 3 4 ? 5 x =

6. Multiplying Fractions & Whole Numbers
We can change the whole number to a fraction and multiply: 5 1 3 4 ? x =

7. Multiplying Fractions & Whole Numbers
We can now multiply the fraction: 5 1 3 4 ? x =

8. Multiplying Fractions & Whole Numbers
The answer is in fraction form. 5 1 3 4 15 4 x =

9. Multiplying Fractions & Whole Numbers
This can be transformed into a mixed number. 5 1 3 4
3 ¾ x =

10. Multiplying Fractions & Whole Numbers
Or, we can use the following process to multiply directly:
Multiply the whole number by the numerator = x 3 4 ? 5 x =

11. Multiplying Fractions & Whole Numbers
The answer is the new numerator. = x 3 4 15 ? 5 x =

12. Multiplying Fractions & Whole Numbers
The denominator remains the same as the denominator of the fraction. 3 4 15 ? 5 x =

13. Multiplying Fractions & Whole Numbers
This gives the answer in a fraction form. 3 4 15 4 5 x =

14. Multiplying Fractions & Whole Numbers
This gives the answer in a fraction form. 3 4 15 4 5 x =

15. Multiplying Fractions & Whole Numbers
This can then be transformed into a mixed number. 3 4 5
3 ¾ x =

16. Multiplying Fractions & Whole Numbers
Assignment:
Page 100, Questions 1, 2, 3, 4