1 / 16

Multiplying Fractions and Whole Numbers: Solving Problems Efficiently

Learn how to multiply fractions by whole numbers using various strategies, such as number lines and converting whole numbers to fractions. Practice solving problems to enhance your math skills.

onella
Télécharger la présentation

Multiplying Fractions and Whole Numbers: Solving Problems Efficiently

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related