1. Measurement Multiplying Fractions by Whole Numbers

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

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

4.  Or, we can use a number line. Multiplying and Dividing Fractions 0 1234 12345 Answer: 5 x ¾ = 15/4 or 3 ¾

5.  Another option: We can change the whole number to a fraction and multiply: Multiplying Fractions & Whole Numbers 5 x 3434 ???? =

6.  We can change the whole number to a fraction and multiply: Multiplying Fractions & Whole Numbers x 3434 ???? = 5151

7.  We can now multiply the fraction: Multiplying Fractions & Whole Numbers x 3434 ???? = 5151

8.  The answer is in fraction form. Multiplying Fractions & Whole Numbers x 3434 15 4 = 5151

9.  This can be transformed into a mixed number. Multiplying Fractions & Whole Numbers x 3434 3 ¾ = 5151

10.  Or, we can use the following process to multiply directly:  Multiply the whole number by the numerator Multiplying Fractions & Whole Numbers 5 x 3434 ???? = x =

11.  The answer is the new numerator. Multiplying Fractions & Whole Numbers 5 x 3434 15 ? = x =

12.  The denominator remains the same as the denominator of the fraction. Multiplying Fractions & Whole Numbers 5 x 3434 15 ? =

13.  This gives the answer in a fraction form. Multiplying Fractions & Whole Numbers 5 x 3434 15 4 =

14.  This gives the answer in a fraction form. Multiplying Fractions & Whole Numbers 5 x 3434 15 4 =

15.  This can then be transformed into a mixed number. Multiplying Fractions & Whole Numbers 5 x 3434 3 ¾ =