1 / 22

Multiplying Fractions & Mixed Numbers

Multiplying Fractions & Mixed Numbers. EQ: How is the process to multiply mixed numbers related to multiplying fractions?. MACC.6.EE.2.7 MA.6.A.3.1, MA.6.A.3.2, MA.6.A.3.3. Multiplying Fractions by Whole Numbers using a Number Line. 6 x

kiora
Télécharger la présentation

Multiplying Fractions & Mixed Numbers

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. Multiplying Fractions & Mixed Numbers

  2. EQ: How is the process to multiply mixed numbers related to multiplying fractions? MACC.6.EE.2.7 MA.6.A.3.1, MA.6.A.3.2, MA.6.A.3.3

  3. Multiplying Fractions by Whole Numbers using a Number Line 6 x 0 1 2 3 4 5

  4. Multiplying Fractions using an Array (Model) You are choosing 18 CDs to take to a party. You want two-thirds of the CDs to have dance music. How many dance music CDs should you choose?

  5. Estimating a Product You have 15 CDs. Each CD case is three-eighths inch wide. Estimate how wide a space you need on a CD rack to fit all 15 CDs. Space = x 15 Space = x 16 Space = 6 Think: of 16 is 2, so multiply 2 by 3 for 6.

  6. Multiplying Fractions by Whole Numbers • Step 1 – Make all factors fractions • Change whole numbers into fractions by placing a “1” as the denominator • For example: 6 ∙ ∙ ·

  7. Step 2 – Multiply the numerators and multiply the denominators ∙

  8. Changing Improper Fractions to Mixed Numbers The fraction bar means divide • Divide the numerator by the denominator - 8 1

  9. Step 3 – Simplify • Put the fractions in simplest form • Change improper fractions into mixed numbers = =

  10. You Try It! • Evaluate 4x, where x =

  11. Real World • There are 25 students in the music club, are also in the band. How many music club students are also in the band?

  12. Multiplying Fractions by Fractions • Step 1 – Multiply the numerators and multiply the denominators ·

  13. Step 2 – Simplify • Put the fractions in simplest form • Change improper fractions into mixed numbers ÷ =

  14. Multiplying Fractions by Fractionswith Cross Simplification • Step 1 – Multiply the numerators and multiply the denominators or cross simplify 1 · 3 • Step 2 – Simplify • Put the fractions in simplest form • Change improper fractions into mixed numbers

  15. Multiplying Mixed Numbers

  16. Change the following mixed number into an improper fraction:

  17. Changing Mixed Numbers to Improper Fractions 6 • Multiply the whole number by the denominator • Add the numerator to the product • The sum becomes the numerator and the denominator stays the same

  18. Multiplying Fractions by Mixed Numbers • Step 1 – Change all factors into fractions · format · = ·

  19. Step 2 – Multiply the numerators and multiply the denominators • Step 3 – Simplify • Put the fractions in simplest form • Change improper fractions into mixed numbers

  20. 5-2 Multiplying Mixed Numbers 1 __ Write 1 as an improper fraction. 1 = • 4 1 1 1 1 4 1 • 4 4 1 _____ __ __ __ __ __ __ __ __ 3 12 3 3 4 3 3 4 3 4 • 3 Course 1 Additional Example 1A: Multiplying Fractions and Mixed Numbers Multiply. Write the answer in simplest form. A. • 1 Multiply numerators. Multiply denominators. Write the answer in simplest form.

  21. 5-2 Multiplying Mixed Numbers Write the mixed numbers as improper fractions. 1 = 2 = • 3 3 1 1 13 7 13 7 • 13 91 19 7 __ __ __ __ __ __ __ ______ __ __ __ 24 6 4 6 4 6 24 4 • 6 6 4 4 Course 1 Try This: Example 2A Find each product. Write the answer in simplest form. A. 1 • 2 Multiply numerators. Multiply denominators. You can write the improper fraction as a mixed number. 3

  22. 5-2 Multiplying Mixed Numbers 7 3 1 3 5 1 1 5 1 7 __ __ __ __ __ __ __ __ __ __ __ __ 1 5 20 10 4 40 5 2 8 5 14 4 7 2 grain Course 1 Insert Lesson Title Here Lesson Quiz Multiply. Write each answer in simplest form. 1. 3 2. 1 Find each product. Write the answer in simplest form. 3. 2•1 4. 5 • 3 5. A nurse gave a patient 3 tablets of a medication. If each tablet contained grain of the medication, how much medication did the patient receive? 2 • • 16 1 1

More Related