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Converting Fractions to DecimalsFREEWorksheet Generator(Grade 4)

Converting Fractions to Decimals worksheets (Grade 4) with step-by-step answer keys. Generate unlimited practice sheets with fresh problems.

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Set A โ€ข 10 Qs
PanMaths.comConverting Fractions to Decimals Worksheets โ€ข Set A (Medium)
Name: __________________________
Date: _____________ Period: ____
Score: _____ / 10
1.Convert425toadecimal
= ย ______
Workspace:
2.Convert925toadecimal
= ย ______
Workspace:
3.Convert1120toadecimal
= ย ______
Workspace:
4.Convert720toadecimal
= ย ______
Workspace:
5.Convert625toadecimal
= ย ______
Workspace:
6.Convert1125toadecimal
= ย ______
Workspace:
7.Convert1750toadecimal
= ย ______
Workspace:
8.Convert1320toadecimal
= ย ______
Workspace:
9.Convert1150toadecimal
= ย ______
Workspace:
10.Convert1720toadecimal
= ย ______
Workspace:
PanMaths.com โ€ข Free Math Worksheet Generator โ€ข Set A (Medium)Page 1 of 2
PanMaths.comAnswer Key & Worked Solutions โ€ข Set A (Medium)
Answer Key
Total Problems: 10
1.Convert425toadecimal
= 0.16
1. Scale the denominator to a power of 10: Multiply numerator and denominator by 4 (25 ร— 4 = 100).
2. Form equivalent fraction: (4 ร— 4) / (25 ร— 4) = 16/100.
3. Write as decimal notation: 16/100 = 0.16.
4. Solution: 4/25 = 0.16 โœ…
2.Convert925toadecimal
= 0.36
1. Scale the denominator to a power of 10: Multiply numerator and denominator by 4 (25 ร— 4 = 100).
2. Form equivalent fraction: (9 ร— 4) / (25 ร— 4) = 36/100.
3. Write as decimal notation: 36/100 = 0.36.
4. Solution: 9/25 = 0.36 โœ…
3.Convert1120toadecimal
= 0.55
1. Scale the denominator to a power of 10: Multiply numerator and denominator by 5 (20 ร— 5 = 100).
2. Form equivalent fraction: (11 ร— 5) / (20 ร— 5) = 55/100.
3. Write as decimal notation: 55/100 = 0.55.
4. Solution: 11/20 = 0.55 โœ…
4.Convert720toadecimal
= 0.35
1. Scale the denominator to a power of 10: Multiply numerator and denominator by 5 (20 ร— 5 = 100).
2. Form equivalent fraction: (7 ร— 5) / (20 ร— 5) = 35/100.
3. Write as decimal notation: 35/100 = 0.35.
4. Solution: 7/20 = 0.35 โœ…
5.Convert625toadecimal
= 0.24
1. Scale the denominator to a power of 10: Multiply numerator and denominator by 4 (25 ร— 4 = 100).
2. Form equivalent fraction: (6 ร— 4) / (25 ร— 4) = 24/100.
3. Write as decimal notation: 24/100 = 0.24.
4. Solution: 6/25 = 0.24 โœ…
6.Convert1125toadecimal
= 0.44
1. Scale the denominator to a power of 10: Multiply numerator and denominator by 4 (25 ร— 4 = 100).
2. Form equivalent fraction: (11 ร— 4) / (25 ร— 4) = 44/100.
3. Write as decimal notation: 44/100 = 0.44.
4. Solution: 11/25 = 0.44 โœ…
7.Convert1750toadecimal
= 0.34
1. Scale the denominator to a power of 10: Multiply numerator and denominator by 2 (50 ร— 2 = 100).
2. Form equivalent fraction: (17 ร— 2) / (50 ร— 2) = 34/100.
3. Write as decimal notation: 34/100 = 0.34.
4. Solution: 17/50 = 0.34 โœ…
8.Convert1320toadecimal
= 0.65
1. Scale the denominator to a power of 10: Multiply numerator and denominator by 5 (20 ร— 5 = 100).
2. Form equivalent fraction: (13 ร— 5) / (20 ร— 5) = 65/100.
3. Write as decimal notation: 65/100 = 0.65.
4. Solution: 13/20 = 0.65 โœ…
9.Convert1150toadecimal
= 0.22
1. Scale the denominator to a power of 10: Multiply numerator and denominator by 2 (50 ร— 2 = 100).
2. Form equivalent fraction: (11 ร— 2) / (50 ร— 2) = 22/100.
3. Write as decimal notation: 22/100 = 0.22.
4. Solution: 11/50 = 0.22 โœ…
10.Convert1720toadecimal
= 0.85
1. Scale the denominator to a power of 10: Multiply numerator and denominator by 5 (20 ร— 5 = 100).
2. Form equivalent fraction: (17 ร— 5) / (20 ร— 5) = 85/100.
3. Write as decimal notation: 85/100 = 0.85.
4. Solution: 17/20 = 0.85 โœ…
PanMaths.com โ€ข Answer Key & Worked SolutionsPage 2 of 2
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Worksheet Info

Categorygrade-4
Grade LevelGrade 4
DifficultyEasy, Medium, Hard, Sprint
Time5-10 min
CCSS CodeCCSS.MATH.CONTENT.4.NF.C.6

Skills Practiced

  • โœ“ Converting Fractions to Decimals

Key Strategies

  • ๐Ÿ”Ÿ Denominators of 10 and 100: When the denominator is already 10 or 100, place the numerator directly into the tenths or hundredths position (7/10 = 0.7, 23/100 = 0.23).
  • โœ–๏ธ Scale to 100 (Equivalent Fractions): For denominators that divide evenly into 100 (2, 4, 5, 20, 25, 50), multiply numerator and denominator by the scale factor (e.g., 3/4 ร— 25/25 = 75/100 = 0.75).
  • ๐Ÿง  Memorize Benchmark Decimals: Anchor core conversions in memory: 1/2 = 0.5, 1/4 = 0.25, 3/4 = 0.75, 1/5 = 0.2.
  • 0๏ธโƒฃ Single-Digit Hundredths Care: Always insert a zero placeholder in the tenths place for single-digit hundredths: 9/100 = 0.09 (not 0.9).
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Related Worksheets

๐Ÿ“œ Standard: CCSS.MATH.CONTENT.4.NF.C.6๐Ÿ”— CCSS.MATH.CONTENT.4.NF.C.5

Mastering Converting Fractions to Decimals: Core Concepts & Mental Models

Converting fractions to decimals connects fractional division to standard base-10 positional notation. Under CCSS 4.NF.C.6, students convert fractions with denominators 10 and 100 directly to decimals, and extend this to benchmark fractions like 1/2, 1/4, 3/4, and 1/5 by scaling to powers of 10.

Worked Example & SolutionTeacher Step-by-Step Method
๐Ÿ“ Problem: Convert 3/5 to a decimal.
Worked Solution: 1. Find scale factor to reach denominator 10: 5 ร— 2 = 10. 2. Scale numerator: 3 ร— 2 = 6. 3. Form equivalent fraction: 6/10. 4. Write as decimal: 6/10 = 0.6. Result = 0.6.

๐Ÿ’ก Essential Strategies for Converting Fractions to Decimals

๐Ÿ”Ÿ Denominators of 10 and 100

When the denominator is already 10 or 100, place the numerator directly into the tenths or hundredths position (7/10 = 0.7, 23/100 = 0.23).

โœ–๏ธ Scale to 100 (Equivalent Fractions)

For denominators that divide evenly into 100 (2, 4, 5, 20, 25, 50), multiply numerator and denominator by the scale factor (e.g., 3/4 ร— 25/25 = 75/100 = 0.75).

๐Ÿง  Memorize Benchmark Decimals

Anchor core conversions in memory: 1/2 = 0.5, 1/4 = 0.25, 3/4 = 0.75, 1/5 = 0.2.

0๏ธโƒฃ Single-Digit Hundredths Care

Always insert a zero placeholder in the tenths place for single-digit hundredths: 9/100 = 0.09 (not 0.9).

โš ๏ธ Common Mistakes & Teacher Fixes

โš ๏ธPlacing numerator and denominator directly next to the decimal point (e.g., 3/4 = 0.34)

Why students stumble: Mistaking decimal notation for a simple transcription of numerator and denominator digits.

Teacher Fix: Scale the fraction to a denominator of 100 first (3/4 = 75/100 = 0.75) or divide 3 รท 4.
Example: 3/4 = 0.75, not 0.34.
โš ๏ธOmitting the zero placeholder for single-digit hundredths (e.g., 7/100 = 0.7)

Why students stumble: Confusing tenths (one decimal place) with hundredths (two decimal places).

Teacher Fix: Single-digit hundredths must have a zero in the tenths column: 7/100 = 0.07. 7/10 is 0.7.
Example: 7/100 = 0.07; 7/10 = 0.7.
โš ๏ธScaling only the denominator and forgetting the numerator

Why students stumble: Multiplying the bottom by 20 to get 100 but keeping the original numerator.

Teacher Fix: To make an equivalent fraction, multiply BOTH numerator and denominator by the exact same factor.
Example: 2/5 = (2 ร— 20) / (5 ร— 20) = 40/100 = 0.40 = 0.4.

๐Ÿ“– Key Mathematical Vocabulary

Fraction

A number that represents a part of a whole, written as a/b.

Terminating Decimal

A decimal that contains a finite number of digits (ends, such as 0.25 or 0.8).

Scaling Factor

The number multiplied by both numerator and denominator to reach a target power of 10 (e.g., multiplying 4 by 25 to get 100).

Benchmark Fraction

Commonly used reference fractions (1/2, 1/4, 3/4, 1/10) with well-known decimal equivalents.

โ“ Frequently Asked Questions

How do you solve a converting fractions to decimals problem step by step?

Here is a worked example: "Convert 3/5 to a decimal.". Solution: 1. Find scale factor to reach denominator 10: 5 ร— 2 = 10. 2. Scale numerator: 3 ร— 2 = 6. 3. Form equivalent fraction: 6/10. 4. Write as decimal: 6/10 = 0.6. Result = 0.6.

What is the core learning objective for converting fractions to decimals?

Use decimal notation for fractions with denominators 10, 100, and convert equivalent benchmark fractions to decimals using scaling factors. This directly aligns with Common Core Standard CCSS.MATH.CONTENT.4.NF.C.6.

What is the most common mistake students make with converting fractions to decimals?

A frequent pitfall is: "Placing numerator and denominator directly next to the decimal point (e.g., 3/4 = 0.34)". Why students stumble: Mistaking decimal notation for a simple transcription of numerator and denominator digits. How to fix it: Scale the fraction to a denominator of 100 first (3/4 = 75/100 = 0.75) or divide 3 รท 4. (Example: 3/4 = 0.75, not 0.34.)

How does the unlimited converting fractions to decimals worksheet generator work?

Every click of 'Generate New Worksheet' creates a completely fresh set of converting fractions to decimals problems with unique numbers. No two worksheets are ever the same โ€” perfect for daily practice, homework variety, and preventing student copying. You can also customize the problem count (6, 8, 10, 12, 15, or 20 problems per sheet).

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Yes! Every single worksheet on PanMaths is 100% free with no sign-up needed. Each sheet includes a dedicated Answer Key on Page 2 with step-by-step intermediate evaluation lines for 1-minute grading.