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
Count the decimal places in 8.04
Multiply by 10⁵ (100)
Write as a fraction
Simplify the fraction
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
Related Decimal to Fraction Conversions
Decimal | Fraction | Comparison |
---|---|---|
0.804 | 20.1/25 | Smaller |
8.04 | 201/25 | Current Value |
80.4 | 2010/25 | Larger |
804 | 20100/25 | Larger |
8040 | 201000/25 | Larger |
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