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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

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Multiplying Fractions & Mixed Numbers

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  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

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