Decimal to Fraction Calculator: Fast & Easy Conversions

Simple, Straightforward, and Fun

This decimal to fraction calculator converts any decimal to a clean fraction. It now supports repeating decimals and shows each step. It also handles whole numbers and negative values. You get the final fraction in simplest form.

Why You’ll Love This Tool

This tool saves time and reduces errors. Students check homework and learn the method line by line. Teachers present clear reasoning with steps that make sense. Engineers and makers run quick checks with confidence. Support for repeating decimals stands out as a unique feature.

How It Works

For a regular decimal, the method counts decimal places. It writes the number over ten raised to the number of decimal places. Then it reduces the fraction using the greatest common divisor. Negative signs carry through to the final fraction. For whole numbers, it writes the number over 1.

For a repeating decimal, the method uses standard algebra. It sets a variable for the number. It multiplies and subtracts to remove the repeating part. Then it builds the fraction and simplifies it. For a mix of fixed and repeating digits, it follows the same plan.

• Step-by-step solution shows each action used to form the fraction.
• Final answer shows the decimal equals the fraction in simplest terms.
• Whole numbers appear as the number over 1.

Notes and limits

• Use digits, a single decimal point, and an optional minus sign.
• Turn on the repeating option for repeating decimals.
• Type the repeating digits in the extra field only.
• Enter the main decimal without trailing dots.
• Very long decimals can round to the nearest match.

Benefits of Using the Calculator

You get a clear answer in seconds. The steps teach the method as you go. This helps you learn and remember the process. It works well for study, class, and quick project checks.

• Homework checks, for example 0.75 to 3 over 4.
• Mixed repeats, for example 0.16 with 6 repeating to 1 over 6.
• Design and measurement, for example 0.125 to 1 over 8.
• Finance and data, for example 0.05 to 1 over 20.
• Repeating block cases, for example 0.142857 repeating to 1 over 7.

A Calculator That Speaks Your Language

No jargon, just math you can follow. Short lines, clear logic, and calm pacing. I wrote this guide with the utmost care. You focus on the number, the tool shows the path.

How to Use This Tool

1. Type your decimal in the input field.
2. Check the box if the decimal repeats.
3. Enter the repeating digits in the new field.
4. Select Convert to Fraction.
5. Read the step by step solution and the final answer.

What to enter in each field

• Decimal number: Enter values like 0.75, 3, or -2.5.
• Repeating decimal: Turn this on for repeating decimals.
• Repeating digits: Enter only the digits that repeat after the decimal point.

Tips for repeating decimals

• For 0.3 repeating, enter 0.3 and repeating digits 3.
• For 2.16 with 6 repeating, enter 2.16 and repeating digits 6.
• For 0.142857 repeating, enter 0.142857 and repeating digits 142857.

How to read the output

• The ordered list explains each step in plain words.
• The final line shows the decimal equals the fraction.
• If the number is negative, the sign appears on the fraction.

Quick examples

• 0.75 becomes 3 over 4.
• -2.5 becomes -5 over 2.
• 0.3 repeating with digits 3 becomes 1 over 3.
• 2.16 with 6 repeating becomes 13 over 6.