## 6.NS.1 Interpret and compute quotients of fractions

Posted: August 24, 2014 in Advance, Periods 1&2, Periods 3&4
Interpret and compute quotients of fractions
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.
• ## Interpret quotient of a fractional division problem

COMMON CORE: 6.NS.A.1 | BY: JAMES MORRISON

In this lesson you will learn how to interpret the quotient of a fractional division problem by considering the context of the problem.

• ## Divide a whole number by a fraction

COMMON CORE: 6.NS.A.1 | BY: JAMES MORRISON

In this lesson you will learn how to compute a quotient by dividing a whole number by a fraction.

• ## Divide a fraction by a whole number

COMMON CORE: 6.NS.A.1 | BY: JAMES MORRISON

In this lesson you will learn how to compute a quotient by dividing a fraction by a whole number.

• ## Compute quotients of fractions in real-world problems

COMMON CORE: 6.NS.A.1 | BY: JAMES MORRISON

In this lesson you will learn how to compute quotients of fractions by solving real-world word problems.In this lesson you will learn how to compute quotients of fractions by solving real-world word problems.

• ## Computing quotients using the fractions division rule

COMMON CORE: 6.NS.A.1 | BY: JAMES MORRISON

In this lesson you will learn how to compute quotients using the fractions division rule.

BrainPOP: Multiplying and Dividing Fractions

#### Isolation Drills: Click to get started

Dividing fractions by fractions and whole numbers applications

Dividing positive fractions

Dividing fractions by fractions word problems

Understanding dividing fraction by fractions

Multi-digit division

Subtracting decimals 2

Multiplying decimals 3

Dividing decimals 4

Adding and subtracting decimals word problems

Distributive property

Greatest common factor

Least common multiple

GCF & LCM word problems

#### Interactive Practice:

1. Divide Fractions – Four activities available from Visualizing Fractions
2. Divide Fractions – Index of eight activities
3. Divide Fractions Strict – The quotient must be entered in lowest terms
4. Divide Fractions With Circles – Each example will show visually how the divisor will fit into the dividend a whole number of times
5. Divide Fractions With Lines – Each example will show visually how the divisor will fit into the dividend a whole number of times
6. Divide Two Fractions – Shows three ways to divide fractions
7. Dividing Fractions – Animated explanation from Math is Fun
8. Dividing Fractions – Eight examples of dividing fractions
9. Dividing Fractions – Thirty-four practice problems from the Math Page
10. Dividing Fractions by Whole Numbers – Explanation, examples and a practice area to develop your skill
11. Dividing Fractions Topics – Index of lessons on dividing fractions
12. Multiply Fractions – Index of four activities
13. Practice Dividing Fractions – There are several chances to answer each problem before a new problem is given.

• #### 1. Interpret the relationship between multiplication and division by recognizing that a quotient is also a factor

Big Ideas: Multiplication can be used to check division. The operations “undo” each other. The quotient of a division problem is the same as a missing factor in a multiplication problem. This lesson builds on students’ understanding of dividing unit fractions by whole numbers and whole numbers by unit fractions. This task gives students a chance to develop a deeper understanding of the meaning of division and its relation to multiplication. Students will look at a scenario and determine whether the operation used is multiplication or division and reason about the relationship between the two operations. Vocabulary: dividend, divisor, quotient, inverse operation

• 6.NS.A.1
• MP3
• #### 2. Interpret the quotient by considering the context of the problem

Big Ideas: The quotient of a division problem can be interpreted by considering the context of the problem. The quotient represents how many or how much of the divisor fits in the dividend. The quotient may be greater than or less than the dividend or divisor. Dividing a whole number by a fraction results in a quotient greater than the divisor because the whole number is being split into many more pieces. This lesson builds on students’ work in fifth grade dividing whole numbers by fractions. This lesson is intended as both a review and a segue into division of fractions by fractions. Students are working on developing a deeper understanding of the concept of division, as well as interpreting the quotient in the context of a real world scenario. The task in this lesson gives students a chance to use a visual model to interpret the difference between the remainder and the fractional part of a mixed number answer. The mathematical concepts in this lesson build toward students’ future work with dividing fractions by fractions using visual models and connecting the relationship between multiplication and division of fractions. Vocabulary: dividend, divisor, quotient

• 6.NS.A.1
• MP1
• MP3
• #### 3. Interpret the meaning of division by using the context of the problem

Big Ideas: Two interpretations of division are partitive (the number of parts) and measurement (the size of one part). The quotient of a division problem can be interpreted by considering the context of the problem. Dividing a fraction by a whole number results in a quotient smaller than the divisor or dividend. A part is being separated into smaller, equal portions. This lesson builds on students’ work in fifth grade dividing whole numbers by fractions. This lesson is intended as both a review and a segue into division of fractions by fractions. Students are working on developing a deeper understanding of the concept of division, as well as interpreting a quotient in the context of a real world scenario. The task in this lesson gives students a chance to use a visual model to divide a fraction by a whole number, as well as interpret the difference between a partitive model and measurement model. The mathematical concepts in this lesson build toward students’ future work with dividing fractions by fractions using visual models and connecting the relationship between multiplication and division of fractions. Vocabulary: dividend divisor quotient