2. MACC.6.EE.2.7 MA.6.A.3.1, MA.6.A.3.2, MA.6.A.3.3

3. 6 x 0 1 2 3 4 5

4. 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. 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.  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. 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.  Evaluate 4x, where x =

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

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

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

22. Lesson Quiz Multiply. Write each answer in simplest form. 1. 32. 1 Find each product. Write the answer in simplest form. 3. 2 14. 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 Insert Lesson Title Here Course 1 5-2 Multiplying Mixed Numbers 5 8 __ 1 5 5 7 __ 7 10 __ 1 4 __ 1 5 1 5 16 1 2 __ 1 20 __ 1 3 14 __ 2 3 4 grain 7 40 __