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What is 0.667 as a Fraction?

Learn how to convert 0.667 to a fraction with step-by-step instructions

Quick Answer

0.667 as a fraction is:

667/1000

This is the simplest form of the fraction

0.667 Decimal to Fraction Calculator

Convert Any Decimal to a Fraction

Enter a decimal number to see its fraction equivalent

How to Convert 0.667 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 0.667 to a Fraction

Let's apply the method to convert 0.667

1

Count the decimal places in 0.667

0.667
There are 3 digits after the decimal point
2

Multiply by 10⁵ (1,000)

0.667 × 1,000 = 667
Moving the decimal point 3 places right
3

Write as a fraction

667/1,000
Numerator: 667, Denominator: 1,000
4

Simplify the fraction

667/1,000 = 667/1000
This fraction is already in its simplest form

Final Result

0.667 = 667/1000

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 0.667 often result in fractions with large denominators

Related Decimal to Fraction Conversions

DecimalFractionComparison
0.066766.7/1000Smaller
0.667667/1000Current Value
6.676670/1000Larger
66.766700/1000Larger
667667000/1000Larger

Additional Information

Scientific Notation

0.667 can be written as 667 × 10⁻3 in scientific notation

Percentage

0.667 is equal to 66.700% as a percentage

Common Calculations with 0.667

Quick Reference Guide

Common calculations and conversions with 0.667

Multiplication

  • 0.667 × 10 = 6.67
  • 0.667 × 100 = 66.7
  • 0.667 × 1000 = 667
  • 0.667 × 10000 = 6670
  • 0.667 × 1000 = 667

Division

  • 0.667 ÷ 2 = 0.3335
  • 0.667 ÷ 5 = 0.13340000000000002
  • 0.667 ÷ 10 = 0.06670000000000001
  • 0.667 ÷ 1/0.667 = 1000

0.667 in Different Number Systems

Decimal

0.667

Scientific Notation

667 × 10⁻3

Percentage

66.700%

Fraction

667/1000

Parts Per Million

667000 PPM

Binary

0.0110 0110 0111

Real-World Applications of 0.667

Where You Might Encounter 0.667

Scientific Applications

  • • Microscopic measurements (667000 micrometers)
  • • Chemical concentrations
  • • Statistical probability calculations
  • • Error margins in precise measurements

Engineering

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

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