Multiplying Fractions by Whole Numbers Measurement Multiplying Fractions by Whole Numbers

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?

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

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

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

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

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

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

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

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 =

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

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

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

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

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

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