# Dividing Fractions and Mixed Numbers

Videos and solutions to help Grade 6 students learn how to divide fractions by mixed numbers.

### 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.

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 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

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
Lesson 1 to Lesson 8 Review

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

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