Decimal to Fraction

A Decimal to Fraction Converter is a tool that transforms decimal numbers (like 0.75, 2.5, or 3.1416) into their equivalent fractional representations (like 3/4, 5/2, or 7854/2500). Converting decimals to fractions helps in expressing values as parts of a whole, especially in mathematics, measurements, and scientific fields.

This tool is ideal for simplifying decimal values into more interpretable and precise fractions, whether proper, improper, or mixed.

Conversion Rule:

To convert a decimal to a fraction:

1. Identify the number of decimal places.
2. Use powers of 10 as the denominator (e.g., 0.75 = 75/100).
3. Simplify the fraction to its lowest terms using the greatest common divisor (GCD).

Common Uses for Decimal to Fraction Conversion:

• Math Education: Teaches number relationships and simplification.
• Engineering & Design: Fractions provide precision in blueprints and scale drawings.
• Construction & Carpentry: Many measurements are expressed as fractions.
• Baking & Cooking: Recipes often convert decimals to familiar fractional quantities.
• Science & Research: Fractions help represent repeating or terminating decimals precisely.

Key Features of Decimal to Fraction Converter:

• Accurate Output: Converts any terminating or repeating decimal to its correct fractional form.
• Supports Mixed Numbers: Converts decimals greater than 1 into mixed fractions (e.g., 2.5 → 2 1/2).
• Handles Repeating Decimals: Recognises and converts repeating patterns (e.g., 0.333… → 1/3).
• Instant Calculation: Provides immediate, real-time results.
• Simplifies automatically: Reduces fractions to their simplest terms.
• Easy Interface: Designed for students, professionals, and casual users alike.

This converter bridges the gap between modern decimal notation and traditional fractional representation.

Enter a Decimal Number:

Example: 0.5, 2.75, 1.333.

View Instant Results:

The tool automatically converts the decimal into a simplified fraction.

Mixed or Improper Option:

Choose whether you want the result as a mixed number (2 1/2) or an improper fraction (5/2).



Use the Output as Needed:

Ideal for classroom work, professional use, or real-world applications.

Example 1:

0.25 → 25/100 → 1/4

Example 2:

0.75 → 75/100 → 3/4

Example 3:

2.5 → 25/10 = 5/2 → 2 1/2

Example 4:

1.333… → 4/3 (Repeating decimal)



Example 5:

3.1416 → 7854/2500, or simplified

Decimal

Fraction

0.1

1/10

0.25

1/4

0.333…

1/3

0.5

1/2

0.6

3/5

0.75

3/4

1.25

5/4 or 1 1/4

1.5

3/2 or 1 1/2

2.75

11/4 or 2 3/4

3.2

16/5

Steps to Convert Decimal to Fraction:

1. Count Decimal Places:
2. Determine how many digits come after the decimal point.



Multiply and Create a Fraction:

1. For 0.75, multiply by 100 → 75/100.
2. Simplify the Fraction:
3. Use GCD to reduce. 75/100 = 3/4.

Convert to Mixed Number (Optional):

If result > 1, express as a mixed fraction (e.g., 11/4 = 2 3/4).