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Trail Day: Add and Subtract Mixed Numbers worksheet preview

Worksheet

Trail Day: Add and Subtract Mixed Numbers

Grade 4 hiking-themed practice adding and subtracting mixed numbers with like denominators, including regrouping wholes and fractions.

Grade 4MathInteractive · Printable

Aligned to4.NF.B.3.c

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 12 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 4
Subject
Math
Question types
Fill in the blank, Multiple choice, Matching, Sorting, Short answer

About this worksheet

What students practice

  • Students add mixed numbers with like denominators, regrouping fractions greater than 1 into wholes.
  • Students subtract mixed numbers with like denominators, trading a whole for fraction parts when needed.
  • Students use addition to check the difference of two mixed numbers.

How to use

Use after students add and subtract fractions with like denominators. Encourage them to work with the wholes and the fractions separately, or to rewrite each mixed number as a fraction first.

Curriculum

Common Core standard covered

4.NF.B.3.c

Add and subtract mixed numbers with like denominators.

Preview

OwlSheets.com

Name Date

Trail Day: Add and Subtract Mixed Numbers

Find hiking distances with mixed numbers that share a denominator.

Add the miles

Add the mixed numbers. If the fraction part is 1 or more, trade it for a whole.

1.
Lena hikes 1 3/8 miles to the creek. Then she hikes 2 4/8 miles to the lookout. How far does she hike in all?

1 3/8 + 2 4/8 =   miles

2.
Mateo walks 2 2/3 miles in the morning and 1 2/3 miles after lunch. Add the wholes and the fractions to find his total.

Wholes: 2 + 1 =  
Fractions: 2/3 + 2/3 =  
Total:   miles

3.
Priya hikes 3 5/6 miles on Saturday and 1 3/6 miles on Sunday. How many miles does she hike in all?
  • A. 4 8/12 miles
  • B. 4 2/6 miles
  • C. 5 2/6 miles
  • D. 5 8/6 miles
4.
The two parts of the Maple Trail are 1 3/5 miles and 2 1/5 miles long. Write each mixed number as a fraction, then add.

1 3/5 =  /5
2 1/5 =  /5
Sum =  /5
As a mixed number, the Maple Trail is   miles long.

Miles left to go

Subtract the mixed numbers. If the top fraction is too small, trade 1 whole for fraction parts first.

5.
The Pine Trail is 4 5/6 miles long. Ruby has hiked 2 1/6 miles. How many miles does she have left?

4 5/6 − 2 1/6 =   miles

6.
The Lake Loop is 5 1/4 miles long. Sam has walked 2 3/4 miles. You cannot take 3/4 from 1/4, so trade 1 whole for 4/4 first.

5 1/4 = 4  /4
5 1/4 − 2 3/4 =   miles left

7.
The Summit Trail is 6 miles long. Ezra stops to rest after 3 2/5 miles.

6 = 5  /5
6 − 3 2/5 =   miles left to the top

8.
Nia finds that 4 3/10 − 1 6/10 = 2 7/10. Which addition equation checks her answer?
  • A. 4 3/10 + 1 6/10 = 2 7/10
  • B. 2 7/10 + 1 6/10 = 4 3/10
  • C. 2 7/10 + 1 6/10 = 3 13/20
  • D. 2 7/10 + 4 3/10 = 1 6/10

Trail challenges

Use what you know about mixed numbers to solve each trail problem.

9.
Match each problem to its answer. One answer is not used.
  1. 2 3/8 + 1 2/8
  2. 4 7/8 − 1 3/8
  3. 3 5/8 + 2 6/8
  4. 5 1/8 − 2 4/8
  1. A. 6 3/8
  2. B. 2 5/8
  3. C. 3 5/8
  4. D. 3 4/8
  5. E. 5 3/8
10.
Each problem tells how far a hiker walks. Sort the problems by their answers.
1 1/4 + 1 2/44 2/3 − 1 1/31 5/6 + 1 1/65 − 2 1/86 3/10 − 3 4/102 7/12 + 5/12
Less than 3 miles3 miles or more
11.
The Ridge Trail is 7 miles long. Ava hikes 2 3/4 miles before lunch and 1 2/4 miles after lunch.

Ava has hiked   miles so far.
She has   miles left to finish the trail.

12.
Diego says 3 1/4 − 1 3/4 = 2 2/4. He took 3 − 1 = 2 and 3/4 − 1/4 = 2/4. Explain Diego's mistake and find the correct answer.

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