Fractions as Division and Multiplying Fractions

Fractions as Divison

100

Write 17/4 in 2 ways and solve

As an equation with ÷

As a long division (厂) problem

17/4

17÷4

4厂17

Solution: 4 1/4

200

Write 215/15 in 2 ways and solve

As an equation with ÷

As a long division (厂) problem

215/15

215÷15

15厂215

Solution: 14 5/15

300

Write 360/9 in 2 ways and solve

As an equation with ÷

As a long division (厂) problem

360/9

360÷9

9厂360

Solution: 40

400

Write 1,235/6 in 2 ways and solve 

As an equation with ÷

As a long division (厂) problem

1,235/6

1,235 ÷6

6厂1,235

Solution: 205 5/6

500

Write 4,323/14 in 2 ways and solve 

As an equation with ÷

As a long division (厂) problem

4,323/14

4,323÷ 14

14厂4,323

Solution:308 11/14

Fractions as Division Word Problems

100

Which situation can be represented by 7/5?

• Olivia makes 5 equal servings of granola from a bag that holds 7oz

• Kimi buys 7 packs of microscope slides with 5 slides in each pack

• Presley has 5 meters of rope that he will cut into 7 equal pieces

• Carter has 7 oil paintings and 5 watercolor paintings

Kimi buys 7 packs of microscope slides with 5 slides in each pack 

200

Marin has a piece of ribbon that is 17 inches long. She wants to split the ribbon into 8 equal parts. How would you represent this as a fraction? How many inches, in a fraction form, would each part be?

17/8= 2 1/8

300

Which situation can be represented by 14/4? 

• Alice has 14 dogs that each have 4 toys. How many toys are there? 
• Kenny has 14 slices of pizza to split between 4 friends
• Al has 14 paints and takes 4 of the paints away 
• Kevin eats 4 pieces of bread every day for 2 weeks. How much bread did he eat?
  
  

Kenny has 14 slices of pizza to split between 4 friends

400

Gwen is planning an event. There are 396 people attending. She wants to split everyone into equal groups of 22 people. How can she represent this as a fraction? How many people will be in each group?

396/22= 18 people in each group

500

Which situation can be represented by 12/5? 

• Marcy has 12 friends and gives them each 5 bracelets
• Evan has 5oz of chocolate that he splits into 12 bags 
• Carla has $12 and wants to pay for biscuits that are $3 each. How many can she buy? 
• Tracy has 12 paintings and sells 5 of them

None of the situations

Multiplying Fractions

100

1/4 x 9/10=

9/40

200

1 3/4 x 2

3 2/4

300

7/12 x 4/11

28/ 132

400

1 1/8 x 3 1/2 =

3 15/16

500

5 1/3 x 7 4/5

41 9/15

Multiplying Fractions Word Problems

100

A quilt is ¾ yard wide and 7/6 yards long. Create and solve an equation to find the area of the quilt in square yards.

3/4 x 7/6= 21/24

200

Taylor has 7/9 of a pizza. He gives 3/4 of the pizza to his friend. How much pizza does he have now?

21/36 of a pizza

300

Marco is baking cookies. The recipe calls for 1 3/8 cups of flour. He wants to triple the recipe. How much flour does he need?

1 3/8 x 3/1

He will need 4 1/8 cups

400

Timmy has 2 1/9 bags of chips. He eats 1/5 of his chip supply. How much of his chip supply does Timmy have left?

19/45

500

Maggie wants to bake a giant cake in 2 days. The original cake recipe calls for 3 1/5 cups of sugar. She wants to quadruple (x4) this recipe. How many cups of sugar does she need? 

12 4/5 cups

Multiplying Fractions with Models

100

What equation does the fraction model show? What is the solution?

5 columns, 4 colored in 

3 rows, 2 colored in

4/5 x 2/3 =8/15

200

What equation does the fraction model show? What is the solution?

7 columns, 7 colored in 

4 rows, 2 colored in

7/7 x 2/4 = 14/28

300

Draw a model for the following problem and find the solution 

1/8 x 2/3

8 columns, 1 colored in 

3 rows, 2 colored in

1/8 x 2/3 = 2/24

400

Draw a model for the following equation 

1 x 1/4

1 column, 1 colored in 

4 rows, 1 colored in

1x1/4=1/4

500

What equation does the fraction model show? What is the solution?

2 columns, 1 colored in 

9 rows, 2 colored in

1/2x 2/9 = 2/18