Measurement Multiplying Fractions by Whole Numbers

 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?

 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.

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

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

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

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

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

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

 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 =

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

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

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

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

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