What is 8.04 as a Fraction?

Learn how to convert 8.04 to a fraction with step-by-step instructions

Quick Answer

8.04 as a fraction is:

201/25

This is the simplest form of the fraction

8.04 Decimal to Fraction Calculator

Convert Any Decimal to a Fraction

Enter a decimal number to see its fraction equivalent

How to Convert 8.04 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 8.04 to a Fraction

Let's apply the method to convert 8.04

1

Count the decimal places in 8.04

8.04
There are 2 digits after the decimal point
2

Multiply by 10 (100)

8.04 × 100 = 804
Moving the decimal point 2 places right
3

Write as a fraction

804/100
Numerator: 804, Denominator: 100
4

Simplify the fraction

804/100 = 201/25
Divide both numbers by their greatest common factor (4)

Final Result

8.04 = 201/25

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., 2 places = 100)
  • Very small decimals like 8.04 often result in fractions with large denominators
DecimalFractionComparison
0.80420.1/25Smaller
8.04201/25Current Value
80.42010/25Larger
80420100/25Larger
8040201000/25Larger

Additional Information

Scientific Notation

8.04 can be written as 201 × 10⁻2 in scientific notation

Percentage

8.04 is equal to 804.000% as a percentage

Common Calculations with 8.04

Quick Reference Guide

Common calculations and conversions with 8.04

Multiplication

  • 8.04 × 10 = 80.39999999999999
  • 8.04 × 100 = 803.9999999999999
  • 8.04 × 1000 = 8039.999999999999
  • 8.04 × 10000 = 80399.99999999999
  • 8.04 × 25 = 201

Division

  • 8.04 ÷ 2 = 4.02
  • 8.04 ÷ 5 = 1.6079999999999999
  • 8.04 ÷ 10 = 0.8039999999999999
  • 8.04 ÷ 1/8.04 = 25

8.04 in Different Number Systems

Decimal

8.04

Scientific Notation

201 × 10⁻2

Percentage

804.000%

Fraction

201/25

Parts Per Million

8039999.999999999 PPM

Binary

0.0000 0100

Real-World Applications of 8.04

Where You Might Encounter 8.04

Scientific Applications

  • • Microscopic measurements (8039999.999999999 micrometers)
  • • Chemical concentrations
  • • Statistical probability calculations
  • • Error margins in precise measurements

Engineering

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