Multiplying Fractions

Multiplying Fractions

How can you represent your understanding of multiplying fractions with manipulative,

pictures and numbers?

Problem Solving

Pretend you are a manufacturing company in charge of creating special mini pencils. The pencils cannot exceed 2 inches because the box is only 2 inches in length. Will your group’s pencils fit into one box?

* 1 unifix cube = 1/2 inch

• Create a number sentence that relates to this problem. • Draw what this looks like.

ME!In a relay race, each runner runs ½ of a lap. If there are 6 team members how many laps did the team run?

• Create a number sentence to represent the problem. • Draw a picture to show what it looks like.

1/2 6x

0 1 2 3

1/2 1/2 1/2 1/2 1/2 1/2

ME Continued!

In a relay race, each runner runs ½ of a lap. If there are 6 team members how many laps did the team run?

• Create a number sentence to represent the problem. • Draw a picture to show what it looks like.

1/2 6x

1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 = 6/2

WE!

Jessica celebrates her birthday. She cuts her cake into eighths. There are 4 people at Jessica’s party. Each person receives one slice of cake. How much cake is served at the party?

1/8 x 4• Create an addition number sentence to represent the

problem.• Draw a picture to show what it looks like.




Few Review!

Michelle poured 3 containers of water into her fish tank, and each container held 1/6 of a quart of water. How much water did she put into her fish tank?

Marshall spent 1/3 of his time at his cousin's house playing outside. If he was there for 9 hours last week, how many hours did he play outside?

Me!Brisa is sharing taffy with 6 of her BFFS. If Brisa and each friend got 1/5 of the total amount of candy, how many bars of taffy did Brisa share?

1/5 +1/5 + 1/5 + 1/5 + 1/5 + 1/5 + 1/5 =

1/5 x 7 =

Me!Brisa is sharing taffy with 6 of her BFFS. If Brisa and each friend got 1/5 of the total amount of candy, how many bars of taffy did Brisa share?

1/5 +1/5 + 1/5 + 1/5 + 1/5 + 1/5 + 1/5 =

1/5 x 7 =

7/5

7/5

12

5 15

25

35

45

55

65

75

1 Whole

25

We!At Emanuel’s birthday party his parents bought 11 different pizzas. His guests ate 1/6 of each of the pizzas. How many of his 11 pizzas did the guest eat?

Write a multiplication and addition number sentence.

Use manipulative to help you convert to a mixed number.

Draw an area model, number line and picture to represent

Few!Ms. Williams’ class is playing kickball against Mrs. Garren’s class. If 11 of Ms. Williams’ students run 3/4 of the bases how many times did our class make it to home base. What fraction of bases are needed to score another point?

If 14 of Mrs. Garren’s students run 2/4 of the bases how many times did her class make it to home base. Which class won the game? By how many points (fractions included)?

Write a multiplication and addition number sentence.

Use manipulative to help you convert to a mixed number.

Draw an area model, number line and picture to represent

You!Heather bought 12 plums and ate 3/4 of them. Paul bought 12 plums and ate 9/12 of them. Which statement is true?

Draw a model to explain your reasoning.

a. Heather ate 4 plums and Paul ate 3 plums.

b. Heather ate 3 plums and Paul ate 4 plums.

c. Heather and Paul ate the same number of plums.

d. Heather had 9 plums remaining.




3 x 2/3 = 6 x 1/3

Is this true? Explain in writing how you would go about solving this problem. Follow your instructions to create a pictorial representation.

Prove It

Me!

If a bucket holds 2 ¾ gallons of water and it takes 43 buckets to fill my fish tank. How many gallons of water does my tank hold?

Tips:1. Convert mixed

numbers to improper fractions

2. Create a multiplication sentence

3. Decide how to represent.

We!

Ms. Williams is baking muffins for the class breakfast tomorrow. If each student eats 3 ½ muffins how many muffins will I have to bake if all 16 students are present?

Tips:1. Convert mixed

numbers to improper fractions

2. Create a multiplication sentence.

3. Decide how to represent.

Few!Leslie and Zy’Reayanna are having a swinging contest. Leslie counts that she has went into the air 21 time. Zy’Reayanna brags that she went into the air 4 2/3 times more than Leslie. How many times did Zy’Reayanna swing into the air?

Deshawn is filling his secret stash with candy. If his trick-or-treat bag holds 2 4/6 pounds of candy and it takes 13 bags to fill his secret stash. How many pounds of candy does his secret stash hold?

Documents

Multiplying Fractions