Making Sense of Fraction Division

​Solving Problems Involving Fraction Division

By Stephanie Kurikka

Draw

Draw a diagram to show:

4 ÷ 2 = ___

Then explain: How many 2’s fit into 4?

Draw

Why does 3 ÷ 1/5 = 3 × 5?

Liam’s thinking:

1 whole = 5 pieces of size 1/5

3 wholes = 15 pieces of size 1/5

So:

3÷1/5=15

Malik’s thinking:

Dividing by 1/5 means:
“How many 1/5 pieces fit into the number?”

That’s the same as multiplying by 5.

Which explanation makes more sense to you?

Draw a diagram to explain Liam’s & Malik’s thinking.

Draw

Dria is writing music and wants to replace a ¾ note with ⅛ notes.

How many ⅛ notes fit in ¾ of a measure?

Use diagrams to help you figure it out.
Represent the problem with a division sentence and a picture.

Hint: Dividing by ⅛ means: How many one-eighths fit in what I have?

Draw

What is the reciprocal of 5?

What about 1/6?

Draw

Let’s try:

¼ ÷ ½ =

5 ÷ ½ =

½ ÷ 4 =

Do you see a pattern?

Independent Work:
Try the next few problems on your own!

Work out all problems in your notebook.

If there is a whiteboard, draw and solve the problem on there.

You got this! Persevere and trust your knowledge. Raise your hand if you need help!

Voice Level 0 (1 if asking for help or helping)
Stay at your assigned desk.
When done, work on Multiplication Puzzle in GC :)

Multiple Choice

⅙ ÷ ½ =

• 1/12

• 6/2

• 2/6

• 1/3

Multiple Choice

½ ÷ ¾ =

• 4/6

• 3/6

• 2/3

• 1/2

Draw

In each of these problems, assume that the people divided the food evenly.

If two people share one soda, how much of the soda should each person get? Draw a diagram and solve.

Draw

In each of these problems, assume that the people divided the food evenly.

If two people share three hamburgers, how much should each person get? Draw a diagram and solve.

Draw

In this problem, assume that the people divided the food evenly.

If three people share a large box of fries, what part is each person’s share? Draw a diagram and solve.

Multiple Choice

Harper's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 100 espressos in all, 70% of which were single-shot. How many single-shot espressos did the cafe sell?

• 30

• 70

• 100

• 1

Multiple Choice

Ms. Perez is giving her class a pizza party because every student completed the school-wide book reading challenge. If an extra-large pizza costs $15 and serves 8 people, how much should Ms. Perez expect to pay for pizzas if her class has 28 students?

• $60

• $15

• $120

• $30

While we wait for others to finish:

Work on IXL Skill plan

OR

Multiplication Holiday Puzzle in GC

Voice Level 0 (1 if asking for help or helping)
Stay at assigned seat
Raise hand if you have a question