3. MA.6.A.1.2 Multiply and divide fractions and decimals efficiently. MA.6.A.1.3 Solve real-world problems involving multiplication and division of fractions and decimals. MA.6.A.1.1 Explain and justify procedures for multiplying and dividing fractions and decimals.

4. What do you think happens when you multiply a number by a fraction?

5. SymbolsWords

7. Step 1: Draw a bar to represent the whole number Step 2: Divide the bar into 4 equal parts Step 3: Determine the number that is in each section 3 3 3 3 12 Solve Step 4: Shade

8. Step 1: Draw a bar to represent the whole number Step 2: Divide the bar into equal parts Step 3: Determine the number that is in each section Step 4: Shade the fractional part

9. What information do you need to solve the problem? 24 3 3 3 3 333 3 Joel bought 24 markers, and of them have gel ink. How many gel ink markers are there?

11. Solve Used in the “Personal Tutor” Step 1: Model 2/5 x 6 Step 2: Move the shaded pieces around to fill as many columns as possible. +++++

12. 6 Step 1: Construct a rectangle that is 2/5 units high and shade the fractional part Solve Step 2: Make the rectangle 6 units wide Step 3: Move the shaded pieces around to fill as many columns as possible.

13. What information do you need to solve the problem? Jenny made five loaves of banana bread that had cup of butter in each loaf. How many cups of butter were used in all? 5 OR

15. Solve Step 1: Construct a rectangle that represents 1 whole. Step 3: Make the rectangle 4/5 units wide and shade the fractional part. Step 2: Make the rectangle 2/3 units high and shade the fractional part.

16. Step 1: Construct a rectangle that is 2/5 units high and shade the fractional part. Step 2: Make the rectangle 5/6 units wide and shade the fractional part.

17. About of an orchestra is made up of string instruments. If of the string instruments are cellos, what fraction of the orchestra is made up of cellos? What information do you need to solve the problem?

19. Solve Step 2: Move the shaded pieces around to fill as many columns as possible. ++ Step 1: Model x 3

20. Solve Step 2: Move the shaded pieces around to fill as many columns as possible. + Step 1: Model x 2

21. Solve Step 1: Shade a rectangle that is 4 units high and units wide. Step 2: Combine the 1/3 pieces to make as many wholes as possible. 4

22. 3

23. 1 440

24. 7

25. 7

27. Step 1: Draw a bar to represent the whole number. Step 2: Divide each whole into fourths. 2 Solve Step 3: Determine how many groups of are in 2. of circled group st group nd group

28. Step 1: Draw a bar to represent the whole number. Step 2: Divide each whole into thirds. Step 3: Determine how many groups of 2/3 are in 3.

29. What information do you need to solve the problem? 5 Melissa made taco dip for a party and used 5 cups of cheese. The recipe for one serving calls for cup of cheese. How many servings of taco dip did Melissa make?

31. Step 1: Draw a bar and represent 4/5. 4/5 Solve Step 2: Determine how many equal groups of 2/5 are in 4/5. 1st group 2nd group

32. Step 2: Draw a bar and represent 5/6. 5/6 Solve Step 3: Determine how many equal groups of 4/6 are in 5/6. 1st group 1/4 group Step 1: Rename the second fraction so that both fractions have a common denominator. Solve

33. 2/4 1st group 2nd group