Free Mixed Numbers Worksheets (Grades 4-6)

Practice mixed numbers (Grades 4-6) with free printable PDF worksheets. 4 pre-packaged classroom sets with 100% verified step-by-step answer keys, plus an unlimited live customizer for teachers and homeschoolers.

⚡ Custom StudioWant custom problem counts (6–50) or fresh numbers?
Launch Free Customizer →
⚡ Unlimited & Shuffle →
PanMaths.comMixed Numbers WorksheetsSet A (Standard)
Name: __________________________
Date: _____________ Period: ____
Score: _____ / 10
Directions: Solve each problem carefully. Show all intermediate work in the workspace provided.
1.
416+246
2.
435+415
3.
323+423
4.
424+314
5.
114+224
6.
314+124
7.
124+134
8.
314+324
9.
423+213
10.
414+414
PanMaths.com • Free Printable Math WorksheetsPage 1 of 2
PanMaths.comAnswer Key & Worked Solutions • Set A (Standard)
Answer Key
Total Problems: 10
Teacher & Parent Guide: Intermediate evaluation steps are provided for step-by-step grading and student self-correction.
1.
416+246= 6 5/6
1. Like Denominators: Denominator is already 6
3. Add Wholes & Numerators: (4 + 2) + (1 + 4)/6 = 6 5/6
5. Final Result: 6 5/6 ✅
2.
435+415= 8 4/5
1. Like Denominators: Denominator is already 5
3. Add Wholes & Numerators: (4 + 4) + (3 + 1)/5 = 8 4/5
5. Final Result: 8 4/5 ✅
3.
323+423= 8 1/3
1. Like Denominators: Denominator is already 3
3. Add Wholes & Numerators: (3 + 4) + (2 + 2)/3 = 7 4/3
4. Regroup Improper: 7 + 1 1/3 = 8 1/3
5. Final Result: 8 1/3 ✅
4.
424+314= 7 3/4
1. Like Denominators: Denominator is already 4
3. Add Wholes & Numerators: (4 + 3) + (2 + 1)/4 = 7 3/4
5. Final Result: 7 3/4 ✅
5.
114+224= 3 3/4
1. Like Denominators: Denominator is already 4
3. Add Wholes & Numerators: (1 + 2) + (1 + 2)/4 = 3 3/4
5. Final Result: 3 3/4 ✅
6.
314+124= 4 3/4
1. Like Denominators: Denominator is already 4
3. Add Wholes & Numerators: (3 + 1) + (1 + 2)/4 = 4 3/4
5. Final Result: 4 3/4 ✅
7.
124+134= 3 1/4
1. Like Denominators: Denominator is already 4
3. Add Wholes & Numerators: (1 + 1) + (2 + 3)/4 = 2 5/4
4. Regroup Improper: 2 + 1 1/4 = 3 1/4
5. Final Result: 3 1/4 ✅
8.
314+324= 6 3/4
1. Like Denominators: Denominator is already 4
3. Add Wholes & Numerators: (3 + 3) + (1 + 2)/4 = 6 3/4
5. Final Result: 6 3/4 ✅
9.
423+213= 7
1. Like Denominators: Denominator is already 3
3. Add Wholes & Numerators: (4 + 2) + (2 + 1)/3 = 6 3/3
4. Regroup Improper: 6 + 1 0/3 = 7 0/3
5. Final Result: 7 ✅
10.
414+414= 8 1/2
1. Like Denominators: Denominator is already 4
3. Add Wholes & Numerators: (4 + 4) + (1 + 1)/4 = 8 2/4
5. Final Result: 8 1/2 ✅
PanMaths.com • Answer Key & SolutionsPage 2 of 2
Need a Multi-Topic Math Test?Combine Mixed Numbers Worksheets with other math skills into a custom 15-to-25 question test with 1-click dual-set anti-cheat PDFs & tablet quizzes.
Build Custom Quiz ➔
Fractions & Decimals 50-Worksheet Master WorkbookPDF + Answer Keys
⭐ Master PDF Workbook$3.99

Fractions & Decimals 50-Worksheet Master Workbook

  • 50 curated printable worksheets in 1 PDF
  • 100% verified step-by-step answer keys
  • Unlimited classroom & homeschool print license
🛒 Download 50-Worksheet Pack ($3.99) →

🔒 Instant PDF Download • Secure Checkout via Gumroad & PayPal

💡

How to Create & Print Custom Worksheets in 3 Steps

Every generated sheet includes student name, date, score lines, and a complete answer key!

1⚙️

1. Set Options & Count

Select difficulty (Easy, Medium, Hard) and choose your exact problem count (8, 12, 16, or 20 problems per sheet).

2🎲

2. Generate & Review

Click "Shuffle" to generate fresh randomized questions. Student name, date, and score blanks are added automatically.

3🖨️

3. Print with Answer Key

Print clean 8.5"×11" pages. Includes a detachable verified answer key for 1-minute grading or student self-checking!

What Every Sheet Includes: Name & Date headers, organized problem numbering, ample student write-in workspace, and a step-by-step verified grading key!
🏫

Recommended Classroom & Homeschool Uses

Versatile math practice formats designed for busy educators and parents.

☀️
Bell Work & Warm-Ups
Quick 5-minute timed drills to start math class with focus.
🎯
Learning Centers
Laminate with dry-erase markers for reusable station practice.
🏠
Homework & Review
Send home with detachable answer keys for easy parent review.
📊
Quizzes & Exit Tickets
Assess student concept retention before chapter tests.
🔗

Explore Interactive Tools for Mixed Numbers Worksheets

Master this math concept across all PanMaths learning verticals:

Worksheet Info

Categoryfractions
Grade LevelGrades 4-6
DifficultyCustomizable
Time10-15 minutes

Skills Practiced

  • Math fluency
  • Mental math speed
🎮 Interactive Warm-Up

Fractions Mastery

Warm up with 60 seconds of rapid mental math practice before printing!

Play Speed Game Free →
Advertisement

Strategies

  • Decomposition Method: Splitting mixed numbers into separate whole integer and fraction components.
  • Whole-Number Regrouping: Borrowing 1 whole from the integer and converting it into d/d to expand the fractional numerator.
  • Improper Fraction Conversion: Transforming mixed numbers into top-heavy fractions to prevent subtraction errors.

💡 Separate Wholes and Fractions in Addition

For addition, add whole numbers together first, then add the fractions. If the resulting fraction is improper (e.g. 7/5), convert it to 1 2/5 and add 1 to the whole number.

💡 Borrowing in Subtraction: 1 Whole = d/d

When subtracting 5 1/4 − 2 3/4, borrow 1 from 5 to make 4, and add 4/4 to 1/4: 4 5/4 − 2 3/4 = 2 2/4 = 2 1/2.

💡 Always Simplify to Lowest Terms

Check if the fractional part of your final mixed number can be simplified using the Greatest Common Divisor (e.g., 4 4/8 simplifies to 4 1/2).

Worksheet Facts by Grade Level

GradeSkill TargetExample ProblemSolution
Grade 4Like Denominators Addition2 1/5 + 1 3/53 4/5
Grade 4Like Denominators with Regrouping2 4/5 + 1 3/54 2/5
Grade 4Subtraction with Borrowing5 1/4 − 2 3/42 1/2
Grade 5Unlike Denominators Addition2 1/3 + 1 1/23 5/6
Grade 5Unlike Denominators Subtraction4 1/3 − 1 1/22 5/6

Curriculum & Common Core Standards Alignment

Our free printable mixed numbers worksheets provide structured, step-by-step practice across Grade 4 and Grade 5 curriculum standards:

Grade Level Standard Pedagogical Focus & Fraction Milestone
Grade 4 CCSS.MATH.CONTENT.4.NF.B.3.C Add and subtract mixed numbers with like denominators by replacing each mixed number with an equivalent fraction or by using properties of operations.
Grade 5 CCSS.MATH.CONTENT.5.NF.A.1 Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions.
Grade 5 CCSS.MATH.CONTENT.5.NF.A.2 Solve word problems involving addition and subtraction of fractions referring to the same whole, using benchmark fractions and number sense.

Two Reliable Methods for Mixed Numbers Arithmetic

Students can solve mixed number arithmetic using either of two standard approaches:

Method 1: Whole Number & Fraction Decomposition (Recommended for Addition)

  1. 1. Add Whole Numbers: 3 + 2 = 5
  2. 2. Add Fractional Parts: 1/4 + 2/4 = 3/4
  3. 3. Combine Parts: 5 + 3/4 = 5 3/4

Method 2: Improper Fraction Conversion (Recommended for Complex Subtraction)

  1. 1. Convert to Improper Fractions: 3 1/4 = 13/4 and 1 3/4 = 7/4
  2. 2. Subtract Numerators over LCD: (13 − 7) / 4 = 6/4
  3. 3. Convert Back & Simplify: 6/4 = 1 2/4 = 1 1/2
Advertisement

Benefits of Mastery

🍰 Concrete Visual Intuition

Helps students understand whole pizzas plus leftover slices, grounding abstract fraction rules in reality.

📏 Real-World Measurement Skills

Directly applicable to cooking recipes, woodworking tape measures, and construction layout.

🔄 Regrouping Mastery

Strengthens base-10 borrowing concepts by translating regrouping into variable fraction bases (d/d).

⏱️ 1-Minute Teacher Grading

Answer keys feature complete LCD conversion and intermediate regrouping lines for quick grading.

Frequently Asked Questions

When is it necessary to borrow when subtracting mixed numbers?

Borrowing is required whenever the fractional part of the first mixed number is smaller than the fractional part of the second mixed number (for example, in 4 1/5 − 1 3/5, 1/5 is smaller than 3/5, so you borrow 1 whole = 5/5 to make 3 6/5).

How do I convert a mixed number to an improper fraction?

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. For example, for 3 2/5: (3 × 5) + 2 = 17, giving 17/5.

How do these printable worksheets format mixed numbers?

All problems are rendered using crisp mathematical typography with vertically stacked fraction bars and clear whole-number separation for optimal student reading.