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Measurement

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?.

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Measurement

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  1. 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 0 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

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