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What is 0.2 as a Fraction?

Learn how to convert 0.2 to a fraction with step-by-step instructions

Quick Answer

0.2 as a fraction is:

1/5

This is the simplest form of the fraction

0.2 Decimal to Fraction Calculator

Convert Any Decimal to a Fraction

Enter a decimal number to see its fraction equivalent

How to Convert 0.2 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 0.2 to a Fraction

Let's apply the method to convert 0.2

1

Count the decimal places in 0.2

0.2
There is 1 digit after the decimal point
2

Multiply by 10 (10)

0.2 × 10 = 2
Moving the decimal point 1 place right
3

Write as a fraction

2/10
Numerator: 2, Denominator: 10
4

Simplify the fraction

2/10 = 1/5
Divide both numbers by their greatest common factor (2)

Final Result

0.2 = 1/5

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., 1 places = 10)
  • Very small decimals like 0.2 often result in fractions with large denominators

Related Decimal to Fraction Conversions

DecimalFractionComparison
0.020.1/5Smaller
0.21/5Current Value
210/5Larger
20100/5Larger
2001000/5Larger

Additional Information

Scientific Notation

0.2 can be written as 1 × 10⁻1 in scientific notation

Percentage

0.2 is equal to 20.000% as a percentage

Common Calculations with 0.2

Quick Reference Guide

Common calculations and conversions with 0.2

Multiplication

  • 0.2 × 10 = 2
  • 0.2 × 100 = 20
  • 0.2 × 1000 = 200
  • 0.2 × 10000 = 2000
  • 0.2 × 5 = 1

Division

  • 0.2 ÷ 2 = 0.1
  • 0.2 ÷ 5 = 0.04
  • 0.2 ÷ 10 = 0.02
  • 0.2 ÷ 1/0.2 = 5

0.2 in Different Number Systems

Decimal

0.2

Scientific Notation

1 × 10⁻1

Percentage

20.000%

Fraction

1/5

Parts Per Million

200000 PPM

Binary

0.0010

Real-World Applications of 0.2

Where You Might Encounter 0.2

Scientific Applications

  • • Microscopic measurements (200000 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