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What is 6.4 as a Fraction?

Learn how to convert 6.4 to a fraction with step-by-step instructions

Quick Answer

6.4 as a fraction is:

32/5

This is the simplest form of the fraction

6.4 Decimal to Fraction Calculator

Convert Any Decimal to a Fraction

Enter a decimal number to see its fraction equivalent

How to Convert 6.4 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 6.4 to a Fraction

Let's apply the method to convert 6.4

1

Count the decimal places in 6.4

6.4
There is 1 digit after the decimal point
2

Multiply by 10 (10)

6.4 × 10 = 64
Moving the decimal point 1 place right
3

Write as a fraction

64/10
Numerator: 64, Denominator: 10
4

Simplify the fraction

64/10 = 32/5
Divide both numbers by their greatest common factor (2)

Final Result

6.4 = 32/5

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 6.4 often result in fractions with large denominators

Related Decimal to Fraction Conversions

DecimalFractionComparison
0.643.2/5Smaller
6.432/5Current Value
64320/5Larger
6403200/5Larger
640032000/5Larger

Additional Information

Scientific Notation

6.4 can be written as 32 × 10⁻1 in scientific notation

Percentage

6.4 is equal to 640.000% as a percentage

Common Calculations with 6.4

Quick Reference Guide

Common calculations and conversions with 6.4

Multiplication

  • 6.4 × 10 = 64
  • 6.4 × 100 = 640
  • 6.4 × 1000 = 6400
  • 6.4 × 10000 = 64000
  • 6.4 × 5 = 32

Division

  • 6.4 ÷ 2 = 3.2
  • 6.4 ÷ 5 = 1.28
  • 6.4 ÷ 10 = 0.64
  • 6.4 ÷ 1/6.4 = 5

6.4 in Different Number Systems

Decimal

6.4

Scientific Notation

32 × 10⁻1

Percentage

640.000%

Fraction

32/5

Parts Per Million

6400000 PPM

Binary

0.0100

Real-World Applications of 6.4

Where You Might Encounter 6.4

Scientific Applications

  • • Microscopic measurements (6400000 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