What is 20.25 as a Fraction?
Learn how to convert 20.25 to a fraction with step-by-step instructions
Quick Answer
20.25 as a fraction is:
81/4
This is the simplest form of the fraction
20.25 Decimal to Fraction Calculator
Convert Any Decimal to a Fraction
Enter a decimal number to see its fraction equivalent
How to Convert 20.25 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 20.25 to a Fraction
Let's apply the method to convert 20.25
Count the decimal places in 20.25
Multiply by 10⁵ (100)
Write as a fraction
Simplify the fraction
Final Result
20.25 = 81/4
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 20.25 often result in fractions with large denominators
Related Decimal to Fraction Conversions
Decimal | Fraction | Comparison |
---|---|---|
2.025 | 8.1/4 | Smaller |
20.25 | 81/4 | Current Value |
202.5 | 810/4 | Larger |
2025 | 8100/4 | Larger |
20250 | 81000/4 | Larger |
Additional Information
Scientific Notation
20.25 can be written as 81 × 10⁻2 in scientific notation
Percentage
20.25 is equal to 2025.000% as a percentage
Common Calculations with 20.25
Quick Reference Guide
Common calculations and conversions with 20.25
Multiplication
- 20.25 × 10 = 202.5
- 20.25 × 100 = 2025
- 20.25 × 1000 = 20250
- 20.25 × 10000 = 202500
- 20.25 × 4 = 81
Division
- 20.25 ÷ 2 = 10.125
- 20.25 ÷ 5 = 4.05
- 20.25 ÷ 10 = 2.025
- 20.25 ÷ 1/20.25 = 4
20.25 in Different Number Systems
Decimal
20.25
Scientific Notation
81 × 10⁻2
Percentage
2025.000%
Fraction
81/4
Parts Per Million
20250000 PPM
Binary
0.0010 0101
Real-World Applications of 20.25
Where You Might Encounter 20.25
Scientific Applications
- • Microscopic measurements (20250000 micrometers)
- • Chemical concentrations
- • Statistical probability calculations
- • Error margins in precise measurements
Engineering
- • Manufacturing tolerances
- • Electronic component specifications
- • Quality control measurements
- • Precision engineering