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

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Lessons for Grade 6

Common Core For Grade 6

### New York State Common Core Math 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.

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

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