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VolumeCalculator.Co - Free online calculator tool for finding the volume of various 3D shapes with step-by-step solutions and comprehensive unit conversion.

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Decimal to Fraction Calculator

Convert decimal numbers to fractions instantly. Get simplified fractions with step-by-step solutions for all decimal types.

Enter Decimal Number

Examples: 0.5, 0.75, 1.25, -0.333, 2.6

Formula

Decimal = Numerator / Denominator

Where:

  • Decimal =The decimal number to convert
  • Numerator =Top number of the fraction
  • Denominator =Bottom number of the fraction (power of 10)

Conversion Steps

Step 1: Count Decimal Places
Determine how many digits after the decimal point
Step 2: Create Fraction
Use decimal digits as numerator, power of 10 as denominator
Step 3: Simplify
Divide both parts by their Greatest Common Divisor

Common Decimal Conversions

DecimalFraction
0.51/2
0.251/4
0.753/4
0.11/10
0.21/5
0.1251/8
0.3753/8
1.53/2 or 1½

Quick Reference

Powers of 10
1 decimal place = /10, 2 places = /100, 3 places = /1000
GCD Finding
Use Euclidean algorithm or factor method to simplify
Mixed Numbers
When numerator > denominator: divide to get whole + remainder/denominator

Understanding Decimal to Fraction Conversion

What are Decimals and Fractions?

Decimals and fractions are two ways to represent parts of a whole or numbers between integers. Decimals use a decimal point to show parts of one, while fractions show parts as a ratio of two integers.

Types of Decimals

  • Terminating: End after finite digits (0.5, 0.125)
  • Repeating: Have repeating patterns (0.333..., 0.142857...)
  • Non-repeating: Irrational numbers (π, √2)

Real-World Applications

  • • Cooking: Recipe measurements (0.75 cups = 3/4 cups)
  • • Money: Currency calculations ($0.25 = 1/4 dollar)
  • • Engineering: Precise measurements in blueprints
  • • Science: Laboratory measurements and ratios
  • • Education: Grade calculations and percentages

Conversion Benefits

  • • Easier mental math with common fractions
  • • More precise representation of ratios
  • • Better understanding of proportional relationships
  • • Simplified calculations in some contexts

Frequently Asked Questions - Decimal to Fraction Calculator

To convert a decimal to a fraction: 1) Count the decimal places, 2) Write the decimal as a fraction with the decimal number as numerator and a power of 10 as denominator, 3) Simplify by finding the GCD of numerator and denominator.

Tips

  • Enter the dimensions in the same unit for consistency.
  • Results update automatically as you type.
  • Use the unit selector to convert between different measurement systems.