Decimal to Fraction Calculator

Category: Algebra and General

Convert decimal numbers to fractions in their simplest form. This calculator handles terminating decimals, repeating decimals, and provides step-by-step explanations of the conversion process.

Decimal to Fraction Converter

Options

Terminating Decimal Conversion:

Decimal ร— 10n รท 10n = Fraction

Pure Repeating Decimal:

0.dโ‚dโ‚‚...dโ‚™ = (dโ‚dโ‚‚...dโ‚™) รท (9...9)

Mixed Repeating Decimal:

0.aโ‚aโ‚‚...aโ‚˜dโ‚dโ‚‚...dโ‚™ = (aโ‚aโ‚‚...aโ‚˜dโ‚dโ‚‚...dโ‚™ โˆ’ aโ‚aโ‚‚...aโ‚˜) รท (99...9 ร— 10m)

What is the Decimal to Fraction Calculator?

The Decimal to Fraction Calculator is a simple, interactive tool that converts decimal numbers into fractions, including both terminating and repeating decimals. Whether you're dealing with common values like 0.75 or more complex repeating numbers like 0.142857..., this calculator gives you the exact fraction equivalent in simplest form.

How to Use the Calculator

Follow these easy steps to get accurate results:

  • Enter your decimal number in the input box (e.g., 0.625).
  • Select the type of decimal: auto-detect, terminating, or repeating.
  • If it's a repeating decimal, input the digits that repeat (e.g., "3" for 0.333...).
  • Choose whether to see the result as a mixed number and whether to display calculation steps.
  • Click Calculate to get your result instantly.

Key Features

  • Supports terminating and repeating decimals.
  • Breaks down the process into clear, step-by-step explanations.
  • Option to display results as mixed numbers.
  • Uses accurate math operations with simplification included.
  • Helpful for students, teachers, and anyone working with numbers.

Why Use This Calculator?

This tool is useful in various scenarios:

  • Helps with fraction simplification and understanding how decimals convert.
  • Acts as a fraction problem solver and a quick reference for converting recurring values.
  • Useful in classes or exams involving fraction operations and conversions.
  • Complements other tools like the Percent Error Calculator and Scientific Calculator for precise results in broader math contexts.

FAQs

What kinds of decimals can this calculator handle?

It works with terminating decimals (like 0.8), repeating decimals (like 0.333...), and whole numbers.

What is a terminating decimal?

A decimal that ends, such as 0.75 or 0.5. These convert easily into fractions using a power of ten and simplification.

How do I enter repeating decimals?

Select โ€œRepeatingโ€ as the decimal type and enter the digits that repeat. For example, 0.666... would need โ€œ6โ€ as the repeating part.

Why is converting decimals to fractions important?

Fractions are often used in measurements, cooking, construction, and many academic problems. Converting helps in precision and comparison.

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Conclusion

The Decimal to Fraction Calculator simplifies math work and improves understanding of number relationships. Whether youโ€™re a student needing a fraction simplifier or someone looking to convert decimals to fractions quickly, this tool makes the process straightforward and educational.