# Decimal to Fraction Calculator

Convert decimals into simplified fractions or mixed numbers with configurable tolerance and denominator limits

> Canonical page: https://elysiatools.com/en/tools/decimal-to-fraction-calculator

- **Category:** Math & Numbers

- **Keywords:** decimal, fraction, calculator, mixed number, continued fraction

## Overview

The Decimal to Fraction Calculator instantly converts any decimal value into a simplified fraction or mixed number. With customizable settings for maximum denominator and tolerance, it provides precise mathematical conversions ideal for engineering, woodworking, education, and everyday calculations.

## Inputs

- **Decimal Value** (text): e.g. 2.375
- **Max Denominator** (number)
- **Tolerance** (text): e.g. 0.0000001
- **Show Mixed Number** (checkbox)

## When to use

- Converting precise engineering or manufacturing measurements into workable fractional units.
- Simplifying complex decimal outputs from calculators into readable fractions for math assignments.
- Translating digital design dimensions into standard fractional formats for woodworking or construction.

## How it works

- Enter your target decimal value into the input field (e.g., 2.375).
- Adjust the maximum denominator and tolerance settings to control the precision of the resulting fraction.
- Toggle the mixed number option if you prefer formats like '2 3/8' instead of improper fractions like '19/8'.
- The calculator processes the decimal using continued fractions and outputs the simplified result instantly.

## Use cases

- Woodworkers converting decimal inch plans into standard tape measure fractions.
- Students and teachers verifying math homework involving decimal-to-fraction conversions.
- Machinists and engineers translating digital caliper readings into fractional specifications.

## Frequently asked questions

### What is the maximum denominator setting used for?

It limits how large the bottom number of the fraction can be, helping you find practical approximations (like 1/16) instead of exact but unusable fractions (like 333/5000).

### How does the tolerance setting work?

Tolerance defines the acceptable margin of error when converting the decimal. A smaller tolerance yields a more exact fraction, while a larger tolerance can help simplify the result.

### Can it output mixed numbers?

Yes, by enabling the 'Show Mixed Number' option, decimals greater than 1 will be formatted as a whole number alongside a proper fraction (e.g., 2 1/2).

### What happens if I enter a repeating decimal?

You can approximate repeating decimals by entering several repeating digits and adjusting the tolerance to find the exact simplified fraction.

### Is this tool suitable for construction measurements?

Absolutely. By setting the maximum denominator to common tape measure increments like 16, 32, or 64, you can easily convert decimal inches into practical measurements.

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