Dividing Fractions and Mixed Numbers

New York State Common Core Math Grade 6, Module 2, Lesson 8

Download Worksheets for Grade 6, Module 2, Lesson 8

Lesson 8 Student Outcomes

• Students divide fractions by mixed numbers by first converting the mixed numbers into a fraction with a value larger than one.
  
• Students use equations to find quotients.

The following diagram shows an example of dividing a fraction by a mixed number. Scroll down the page for more examples.
 

Classwork

Example 1: Introduction to Calculating the Quotient of a Mixed Number and a Fraction
a. Carli has 4 1/2 walls left to paint in order for all the bedrooms in her house to have the same color paint. However, she has used almost all of her paint and only has 5/6 of a gallon left. How much paint can she use on each wall in order to have enough to paint the remaining walls?
b. Calculate the quotient.
2/5 ÷ 3 4/7

• Show Step-by-step Solutions

• Show Step-by-step Solutions

• Show Step-by-step Solutions

Lesson 8 Problem Set
Calculate each quotient.

1. 2/5 ÷ 3 1/10
   
2. 4 1/3 ÷ 4/7
   
3. 3 1/6 ÷ 9/10
   
4. 5/8 ÷ 2 7/12

• Show Step-by-step Solutions

Lesson 6 Problem Set Sample Solution

1. Write a partitive division story problem for 45 ÷ 3/5
2. Write a partitive division story problem for 100 ÷ 2/5

Lesson 7 Student Outcomes
Students formally connect models of fractions to multiplication through the use of multiplicative inverses as they are represented in models.
The reciprocal, or inverse, of a fraction is the fraction made by interchanging the numerator and denominator.

Two numbers whose product is 1 are multiplicative inverses.

Example 1:
3/4 ÷ 2/5

Lesson 8 Example 1

• Show Step-by-step Solutions

Lesson 1 to Lesson 8 Review

• Show Step-by-step Solutions

Check out our most popular games!
Fraction Concoction	Fact Family Game	Number Bond Garden
Online Addition Subtraction Game	Penguin Solitaire	Sawayama Solitaire
Ark Solitaire	Eldritch Invasion	Shenzhen Solitaire

Check out more Solitaire games here.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.