What is 1.004 as a Fraction?

Learn how to convert 1.004 to a fraction with step-by-step instructions

Quick Answer

1.004 as a fraction is:

251/250

This is the simplest form of the fraction

1.004 Decimal to Fraction Calculator

Convert Any Decimal to a Fraction

Enter a decimal number to see its fraction equivalent

How to Convert 1.004 to a Fraction

General Method: Converting Decimals to Fractions

Follow these steps to convert any decimal to a fraction

Step 1: Count Decimal Places

Count the number of digits after the decimal point

Example: 0.25 has 2 decimal places

Step 2: Multiply by Power of 10

Multiply by 10 raised to the number of decimal places

0.25 × 100 = 25

Step 3: Create Fraction

Use the result as numerator over the multiplier as denominator

25/100

Step 4: Simplify

Reduce the fraction if possible by dividing both numbers by their GCD

25/100 = 1/4

Converting 1.004 to a Fraction

Let's apply the method to convert 1.004

1

Count the decimal places in 1.004

1.004
There are 3 digits after the decimal point
2

Multiply by 10 (1,000)

1.004 × 1,000 = 1004
Moving the decimal point 3 places right
3

Write as a fraction

1004/1,000
Numerator: 1004, Denominator: 1,000
4

Simplify the fraction

1004/1,000 = 251/250
Divide both numbers by their greatest common factor (4)

Final Result

1.004 = 251/250

Tips and Notes

  • The denominator will always be a power of 10 for terminating decimals
  • Each decimal place corresponds to multiplying by 10 (e.g., 3 places = 1,000)
  • Very small decimals like 1.004 often result in fractions with large denominators
DecimalFractionComparison
0.100425.1/250Smaller
1.004251/250Current Value
10.042510/250Larger
100.425100/250Larger
1004251000/250Larger

Additional Information

Scientific Notation

1.004 can be written as 251 × 10⁻3 in scientific notation

Percentage

1.004 is equal to 100.400% as a percentage

Common Calculations with 1.004

Quick Reference Guide

Common calculations and conversions with 1.004

Multiplication

  • 1.004 × 10 = 10.04
  • 1.004 × 100 = 100.4
  • 1.004 × 1000 = 1004
  • 1.004 × 10000 = 10040
  • 1.004 × 250 = 251

Division

  • 1.004 ÷ 2 = 0.502
  • 1.004 ÷ 5 = 0.2008
  • 1.004 ÷ 10 = 0.1004
  • 1.004 ÷ 1/1.004 = 250

1.004 in Different Number Systems

Decimal

1.004

Scientific Notation

251 × 10⁻3

Percentage

100.400%

Fraction

251/250

Parts Per Million

1004000 PPM

Binary

0.0000 0000 0100

Real-World Applications of 1.004

Where You Might Encounter 1.004

Scientific Applications

  • • Microscopic measurements (1004000 micrometers)
  • • Chemical concentrations
  • • Statistical probability calculations
  • • Error margins in precise measurements

Engineering

  • • Manufacturing tolerances
  • • Electronic component specifications
  • • Quality control measurements
  • • Precision engineering