# Interpreting Division of a Fraction by a Whole Number - Visual Models

Videos and solutions to help Grade 6 students learn how to use visual models such as fraction bars, number lines, and area models to show the quotient of whole numbers and fractions.

### New York State Common Core Math Grade 6, Module 2, Lesson 1

Lesson 1 Summary

• Students use visual models such as fraction bars, number lines, and area models to show the quotient of whole numbers and fractions. Students use the models to show the connection between those models and the multiplication of fractions.
• Students divide a fraction by a whole number.

The following diagrams give some examples of dividing a fraction by a whole number. Scroll down the page for more examples and solutions.

Lesson 1 Classwork
Lesson 1 Opening Exercise
Draw a model of the fraction 5/6.
Describe what the fraction means.
A fraction shows division of the numerator by the denominator. In other words, a fraction shows a part being divided by a whole. Fractions are numbers; therefore, they can be added, subtracted, multiplied, or divided.

Example 1
Maria has 3/4 lb. of trail mix. She needs to share it equally among 6 friends. How much will each friend be given? What is this question asking us to do?
How can this question be modeled?

Example 2
Imagine that you have 2/5 of a cup of frosting that you need to share equally between three desserts. How would we write this as a division question?
How can we show that we are dividing two-fifths into three equal parts?

Exercises 1–5
For each question below, rewrite the problem as a multiplication question. Then model the answer.

1. 1/2 ÷ 6
2. 1/3 ÷ 3
3. 1/5 ÷ 4
4. 3/5 ÷ 4
5. 2/3 ÷ 4

Exercises
Find the value of each of the following.
1/4÷5
3/5÷5
1/5÷4
Solve. Draw a model to support your solution.
3/5 pt. of juice is poured equally into 6 glasses. How much juice is in each glass?

Lesson 1 Exit Ticket
Find the quotient using a model.

1. 2/3 ÷ 3
2. 5/6 ÷ 2

Problem Set
Rewrite each problem as a multiplication question. Model the answer.

1. 2/5 ÷ 5
2. 3/4 ÷ 2

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.