# Fraction Operations

## Objective

Subtract a fraction from a mixed number.

## Common Core Standards

### Core Standards

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• 4.NF.B.3.C — Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.

## Criteria for Success

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1. Estimate the difference of a mixed number and a fraction, determining whether that estimate will be greater than or less than the actual difference.
2. Subtract a fraction from a mixed number using a variety of strategies, such as:
1. Converting the mixed numbers to a fraction greater than one and subtracting like units,
2. Subtracting the fraction from the fractional part of the mixed number, regrouping a whole if necessary, or
3. Using mental strategies, such as going down over a whole or counting up over a whole.
3. Assess the reasonableness of answers based on estimates (MP.1).

## Tips for Teachers

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Before the Problem Set, you could have students play a modified version of “Rolling Fractions” found on p. 63 of the Georgia Standards of Excellence Curriculum Frameworks: Mathematics GSE Fourth Grade Unit 4: Operations with Fractions. You should modify it by having students subtract a fraction from a mixed number and not a mixed number from a mixed number. You may also modify it by giving students more denominators to choose from in #1 of the directions (e.g., include all denominators students are expected to work with in Grade 4, including 2, 3, 4, 5, 6, 8, 10, and 12).

#### Remote Learning Guidance

If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Tasks 2 and 3 (benefit from worked examples). You could consolidate these as one Anchor Task using Anchor Task 2 Part (a) and (c) and all of Anchor Task 3. Find more guidance on adapting our math curriculum for remote learning here.

#### Fishtank Plus

• Problem Set
• Student Handout Editor
• Vocabulary Package

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### Problem 1

1. Solve.
1. 4 hundreds 2 tens – 1 ten = ___________
2. 4 dogs 2 puppies – 1 puppy = ___________
3. 4 ones 2 thirds – 1 third = ___________
2. What do you notice about the problems in #1? What do you wonder?

#### References

EngageNY Mathematics Grade 4 Mathematics > Module 5 > Topic F > Lesson 32Concept Development

Grade 4 Mathematics > Module 5 > Topic F > Lesson 32 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Modified by The Match Foundation, Inc.

### Problem 2

Solve.

a.   ${2{4\over5}-{1\over5}}$

b.   ${5{7\over10}-{3\over10}}$

c.   ${4{3\over6}-{3\over6}}$

### Problem 3

Solve.

a.  ${4-{1\over6}}$

b.  ${4{3\over6}-{4\over6}}$

c.  ${8{5\over12}-{8\over12}}$

## Problem Set & Homework

#### Discussion of Problem Set

• What were the two ways you solved #2? Can you think of yet another way to solve?
• Why are both George and Oscar right in #4?
• How is 7 tens 3 ones - 9 ones like 7 ones 3 tenths - 9 tenths? How is it different?
• If you were unsure of any answer on this Problem Set, what could you do to see if your answer is reasonable? Would drawing a picture or estimating the difference be helpful?

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### Problem 1

What is the value of $8\frac{3}{8}-\frac{5}{8}$?

A.  $\frac{29}{4}$

B.  $\frac{31}{4}$

C.  $\frac{33}{4}$

D.  $\frac{35}{4}$

#### References

EngageNY Mathematics Grade 4 Mathematics > Module 5 > Topic F > Lesson 32Concept Development

Grade 4 Mathematics > Module 5 > Topic F > Lesson 32 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Modified by The Match Foundation, Inc.

### Problem 2

Solve. Show or explain your work.

$10\frac{5}{6}-\frac{4}{6}$

#### References

EngageNY Mathematics Grade 4 Mathematics > Module 5 > Topic F > Lesson 32Concept Development

Grade 4 Mathematics > Module 5 > Topic F > Lesson 32 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Modified by The Match Foundation, Inc.

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