Decimal to Fractions Printable Worksheets for 4th Grade Students

5 comprehensive printable worksheets covering decimal to fraction conversion from tenths to hundred-thousands. Includes answer keys and step-by-step solutions.

Printable Worksheets Collection
Worksheet 1: Basic Conversions (Tenths)
Grade 4 Mathematics - Decimal to Fraction Conversion

Convert each decimal to its simplest fraction form.

1 0.1
2 0.2
3 0.3
4 0.4
5 0.5
6 0.6
7 0.7
8 0.8
9 0.9
10 0.0
Worksheet 2: Intermediate Conversions (Hundredths)
Grade 4 Mathematics - Decimal to Fraction Conversion

Convert each decimal to its simplest fraction form.

1 0.25
2 0.50
3 0.75
4 0.10
5 0.20
6 0.30
7 0.40
8 0.60
9 0.80
10 0.90
Worksheet 3: Advanced Conversions (Thousandths)
Grade 4 Mathematics - Decimal to Fraction Conversion

Convert each decimal to its simplest fraction form.

1 0.125
2 0.375
3 0.625
4 0.875
5 0.001
6 0.008
7 0.016
8 0.032
9 0.064
10 0.128
1 Answer Keys
Complete Solutions
Detailed step-by-step solutions for all worksheets.
Solution Method:

Decimal place value: Count decimal places, write as fraction, simplify to lowest terms.

Step-by-Step Process:
  1. Count decimal places
  2. Write decimal digits as numerator over appropriate power of 10
  3. Find GCD of numerator and denominator
  4. Divide both by GCD to get simplest form
  5. Verify by dividing numerator by denominator
Worksheet 1 Solutions (Tenths)

1. 0.1 = 1/10

2. 0.2 = 2/10 = 1/5

3. 0.3 = 3/10

4. 0.4 = 4/10 = 2/5

5. 0.5 = 5/10 = 1/2

6. 0.6 = 6/10 = 3/5

7. 0.7 = 7/10

8. 0.8 = 8/10 = 4/5

9. 0.9 = 9/10

10. 0.0 = 0/10 = 0

Worksheet 2 Solutions (Hundredths)

1. 0.25 = 25/100 = 1/4

2. 0.50 = 50/100 = 1/2

3. 0.75 = 75/100 = 3/4

4. 0.10 = 10/100 = 1/10

5. 0.20 = 20/100 = 1/5

6. 0.30 = 30/100 = 3/10

7. 0.40 = 40/100 = 2/5

8. 0.60 = 60/100 = 3/5

9. 0.80 = 80/100 = 4/5

10. 0.90 = 90/100 = 9/10

Worksheet 3 Solutions (Thousandths)

1. 0.125 = 125/1000 = 1/8

2. 0.375 = 375/1000 = 3/8

3. 0.625 = 625/1000 = 5/8

4. 0.875 = 875/1000 = 7/8

5. 0.001 = 1/1000

6. 0.008 = 8/1000 = 1/125

7. 0.016 = 16/1000 = 2/125

8. 0.032 = 32/1000 = 4/125

9. 0.064 = 64/1000 = 8/125

10. 0.128 = 128/1000 = 16/125

Additional Worksheets:

Worksheet 4: Mixed Numbers (e.g., 1.5, 2.25, 3.75)

Worksheet 5: Challenge Problems (e.g., 0.1875, 4.0625, 0.0001)

Answer Keys: Provided for all 5 worksheets

Printing Instructions
Print & Practice
Worksheets Ready
Worksheet 1
Tenths
Basic Conversions
Worksheet 2
Hundredths
Intermediate Conversions
Worksheet 3
Thousandths
Advanced Conversions
Worksheet 4
Mixed Numbers
Complex Conversions
Printing Guidelines:

Format: PDF ready for standard 8.5" x 11" paper

Quality: High resolution for clear printing

Layout: Clean, organized format for student use

Answer Keys: Included for self-checking

How to Print:
  1. Click the "Print" button below
  2. Select your printer and settings
  3. Choose "Fit to Page" option
  4. Print on standard white paper
  5. Use black ink for best visibility
Tip 1: Print multiple copies for practice sessions.
Tip 2: Use answer keys for immediate feedback.
Tip 3: Laminate for reusable practice activities.
Tip 4: Cut individual problems for task cards.
Features: 5 worksheets, 50 problems total, answer keys included, progressive difficulty.
Benefits: Reinforces decimal-place value understanding, builds fraction skills, self-paced learning.
Usage Rights:

• Free for personal and classroom use

• No commercial redistribution allowed

• Share with students and parents freely

• Modify for educational purposes only

Additional Worksheets
A Worksheet 4: Mixed Numbers
Mixed Number Conversions
Converting decimals greater than 1 to mixed numbers.
1 1.5
2 2.25
3 3.75
4 1.2
5 2.4
6 3.6
7 4.8
8 1.125
9 2.375
10 3.625
Solutions:

1. 1.5 = 1 1/2

2. 2.25 = 2 1/4

3. 3.75 = 3 3/4

4. 1.2 = 1 1/5

5. 2.4 = 2 2/5

6. 3.6 = 3 3/5

7. 4.8 = 4 4/5

8. 1.125 = 1 1/8

9. 2.375 = 2 3/8

10. 3.625 = 3 5/8

B Worksheet 5: Challenge Problems
Advanced Conversions
Complex decimal to fraction conversions.
1 0.1875
2 0.3125
3 0.5625
4 0.0001
5 0.0005
6 4.0625
7 0.003
8 0.015
9 0.075
10 5.125
Challenge Solutions:

1. 0.1875 = 3/16

2. 0.3125 = 5/16

3. 0.5625 = 9/16

4. 0.0001 = 1/10000

5. 0.0005 = 1/2000

6. 4.0625 = 4 1/16

7. 0.003 = 3/1000

8. 0.015 = 3/200

9. 0.075 = 3/40

10. 5.125 = 5 1/8

Complete Learning Summary
Decimal ↔ Fraction Conversion
Core Concept
Key Definitions:

Decimal Place Value: Each position after the decimal point represents a specific fraction of 1

Tenths: 1 decimal place (0.1 = 1/10)

Hundredths: 2 decimal places (0.01 = 1/100)

Thousandths: 3 decimal places (0.001 = 1/1000)

Ten-Thousandths: 4 decimal places (0.0001 = 1/10000)

Hundred-Thousandths: 5 decimal places (0.00001 = 1/100000)

Complete Conversion Process:
  1. Count decimal places: Determine how many digits come after the decimal point
  2. Write initial fraction: Use decimal digits as numerator, denominator as 10^places
  3. Find GCD: Greatest Common Divisor of numerator and denominator
  4. Divide both parts: by GCD to get simplest form
  5. Verify result: Divide numerator by denominator to confirm
Pattern Recognition: 1 place = 10, 2 places = 100, 3 places = 1000, 4 places = 10000, 5 places = 100000
Leading Zeros: Still count: 0.05 = 5/100 (not 5/10)
Common Conversions: 0.5 = 1/2, 0.25 = 1/4, 0.75 = 3/4, 0.125 = 1/8, 0.625 = 5/8
Verification: Always divide numerator by denominator to check your answer
Common Mistakes: Miscounting decimal places, forgetting to simplify, not accounting for leading zeros, incorrect GCD calculation.
Memory Aids: "Decimal places = zeros after 1 in denominator", "Always simplify to lowest terms", "Check with division".
Essential Conversion Rules:

• n decimal places → denominator = 10^n

• Always express in simplest form by dividing by GCD

• For mixed numbers, convert decimal part separately

• Leading zeros count in decimal places: 0.05 has 2 places

• Verify by dividing numerator by denominator

Decimal to Fraction Strategy Guide

Visual Strategy Guide

Place Value System

0.1 = One Tenth = 1/10

0.01 = One Hundredth = 1/100

0.001 = One Thousandth = 1/1000

0.0001 = One Ten-Thousandth = 1/10000

0.00001 = One Hundred-Thousandth = 1/100000

Conversion Process

Step 1: Count decimal places

Step 2: Write digits over appropriate power of 10

Step 3: Simplify by GCD

Step 4: Verify by division

Conversion Workflow
1
Count Digits
2
Set Denominator
3
Simplify
4
Verify
Decimal-Fraction Relationships

0.1 ↔ 1/10

0.25 ↔ 1/4

0.5 ↔ 1/2

0.75 ↔ 3/4

0.125 ↔ 1/8

0.625 ↔ 5/8

Remember: Count decimal places, use power of 10 as denominator, simplify to lowest terms!

Printable Worksheets Q&A

Question: Can I use these worksheets for my entire class? Are they aligned with curriculum standards?

Answer: Absolutely! These worksheets are designed specifically for 4th grade Common Core standards:

  • CCSS.MATH.CONTENT.4.NF.C.6: Use decimal notation for fractions with denominators 10 or 100
  • CCSS.MATH.CONTENT.4.NF.A.1: Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b)

Usage rights: Free for classroom use, homework assignments, and parent support activities. You may copy and distribute to all students in your class.

Progressive difficulty: Worksheets move from basic (tenths) to advanced (thousandths and mixed numbers), allowing for differentiation.

Question: My child struggles with decimal place value. Will these worksheets help build foundational understanding?

Answer: Yes, these worksheets are specifically designed to build place value understanding:

  • Visual structure: Clear organization helps students see patterns
  • Progressive sequence: Starts with simple tenths, builds to complex thousandths
  • Step-by-step guidance: Each worksheet includes conversion hints
  • Answer keys: Immediate feedback reinforces correct methods

Recommendation: Start with Worksheet 1 (tenths) and ensure mastery before progressing. The answer keys allow for self-correction and building confidence.

Question: I'm preparing for a test. How should I use these worksheets to study?

Answer: Here's an effective study strategy using these worksheets:

  • Day 1: Complete Worksheet 1 & 2 (basic to intermediate) with answer key for checking
  • Day 2: Complete Worksheet 3 (advanced) focusing on simplification
  • Day 3: Complete Worksheet 4 (mixed numbers) and Worksheet 5 (challenge problems)
  • Day 4: Review all incorrect answers and retry
  • Day 5: Take a self-timed practice test using random problems

Pro tip: Time yourself to build test-taking speed. The answer keys help identify areas needing more practice!