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What is 0.426 as a Fraction?

Learn how to convert 0.426 to a fraction with step-by-step instructions

Quick Answer

0.426 as a fraction is:

213/500

This is the simplest form of the fraction

0.426 Decimal to Fraction Calculator

Convert Any Decimal to a Fraction

Enter a decimal number to see its fraction equivalent

How to Convert 0.426 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 0.426 to a Fraction

Let's apply the method to convert 0.426

1

Count the decimal places in 0.426

0.426
There are 3 digits after the decimal point
2

Multiply by 10⁵ (1,000)

0.426 × 1,000 = 426
Moving the decimal point 3 places right
3

Write as a fraction

426/1,000
Numerator: 426, Denominator: 1,000
4

Simplify the fraction

426/1,000 = 213/500
Divide both numbers by their greatest common factor (2)

Final Result

0.426 = 213/500

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 0.426 often result in fractions with large denominators

Related Decimal to Fraction Conversions

DecimalFractionComparison
0.042621.3/500Smaller
0.426213/500Current Value
4.262130/500Larger
42.621300/500Larger
426213000/500Larger

Additional Information

Scientific Notation

0.426 can be written as 213 × 10⁻3 in scientific notation

Percentage

0.426 is equal to 42.600% as a percentage

Common Calculations with 0.426

Quick Reference Guide

Common calculations and conversions with 0.426

Multiplication

  • 0.426 × 10 = 4.26
  • 0.426 × 100 = 42.6
  • 0.426 × 1000 = 426
  • 0.426 × 10000 = 4260
  • 0.426 × 500 = 213

Division

  • 0.426 ÷ 2 = 0.213
  • 0.426 ÷ 5 = 0.0852
  • 0.426 ÷ 10 = 0.0426
  • 0.426 ÷ 1/0.426 = 500

0.426 in Different Number Systems

Decimal

0.426

Scientific Notation

213 × 10⁻3

Percentage

42.600%

Fraction

213/500

Parts Per Million

426000 PPM

Binary

0.0100 0010 0110

Real-World Applications of 0.426

Where You Might Encounter 0.426

Scientific Applications

  • • Microscopic measurements (426000 micrometers)
  • • Chemical concentrations
  • • Statistical probability calculations
  • • Error margins in precise measurements

Engineering

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

Related Decimal Conversions