Math & Algebra Tool

Decimal to Fraction

Convert decimal numbers (0.75) back into simplified fractions (3/4).

Σ The Formula

Convert to a/b form, then simplify using GCD

Real World Examples

Simple Conversion
0.75 = 75/100 = 3/4
Smaller Decimal
0.125 = 125/1000 = 1/8
Repeating Pattern
0.333... ≈ 1/3
Improper Fraction
2.5 = 5/2

# About This Calculator

Converting decimals to fractions is useful for finding the exact value representation of a number. While decimals (like 0.333) are approximations, fractions (like 1/3) are exact. This precision is crucial in algebra, carpentry, and science.

To convert a decimal to a fraction, write the decimal divided by 1 (e.g., 0.75/1), then multiply top and bottom by 10 for every digit after the decimal point (75/100). Finally, simplify the result by finding the Greatest Common Divisor (GCD).

For example, 0.75 becomes 75/100. Both are divisible by 25, so it simplifies to 3/4. This tool automates that entire process, handling simple decimals and complex ones instantly.

Perfect for schoolwork, converting digital measurements to ruler markings (like 0.125 inches to 1/8"), or ensuring exactness in mathematical proofs.

How To Use

  1. Enter a Decimal Number (e.g., 0.125).
  2. Click Convert.
  3. View the simplified Numerator and Denominator.

Frequently Asked Questions

How do I convert a decimal to a fraction manually?+

Write the decimal over 1. Multiply top and bottom by 10, 100, etc., to remove the decimal point. Then simplify. Example: 0.5 = 5/10 = 1/2.

Why convert decimals to fractions?+

Fractions are often more precise. For example, 1/3 is exact, while 0.333 is an approximation. Fractions are also preferred in algebra and baking.

Can any decimal be converted to a fraction?+

Any 'rational' number (terminating or repeating decimal) can be a fraction. 'Irrational' numbers like Pi (3.14159...) cannot be written as a simple fraction.

What if my decimal is greater than 1?+

You'll get an improper fraction. For example, 1.5 becomes 15/10 = 3/2. You can then convert that to a mixed number (1 1/2) if needed.

Does this tool simplify the result?+

Yes! It automatically finds the simplest form (lowest terms). 0.5 gives 1/2, not 5/10 or 50/100.

Is Decimal to Fraction free to use?+

Yes, Decimal to Fraction on Matheric is completely free to use. We believe in accessible education and utility for everyone.

About

Converting decimals to fractions is useful for finding the exact value representation of a number. While decimals (like 0.333) are approximations, fractions (like 1/3) are exact. This precision is crucial in algebra, carpentry, and science.

To convert a decimal to a fraction, write the decimal divided by 1 (e.g., 0.75/1), then multiply top and bottom by 10 for every digit after the decimal point (75/100). Finally, simplify the result by finding the Greatest Common Divisor (GCD).

For example, 0.75 becomes 75/100. Both are divisible by 25, so it simplifies to 3/4. This tool automates that entire process, handling simple decimals and complex ones instantly.

Perfect for schoolwork, converting digital measurements to ruler markings (like 0.125 inches to 1/8"), or ensuring exactness in mathematical proofs.

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