What is 42.45 as a Fraction?
Learn how to convert 42.45 to a fraction with step-by-step instructions
Quick Answer
42.45 as a fraction is:
849/20
This is the simplest form of the fraction
42.45 Decimal to Fraction Calculator
Convert Any Decimal to a Fraction
Enter a decimal number to see its fraction equivalent
How to Convert 42.45 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 42.45 to a Fraction
Let's apply the method to convert 42.45
Count the decimal places in 42.45
Multiply by 10⁵ (100)
Write as a fraction
Simplify the fraction
Final Result
42.45 = 849/20
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 42.45 often result in fractions with large denominators
Related Decimal to Fraction Conversions
Decimal | Fraction | Comparison |
---|---|---|
4.245 | 84.9/20 | Smaller |
42.45 | 849/20 | Current Value |
424.5 | 8490/20 | Larger |
4245 | 84900/20 | Larger |
42450 | 849000/20 | Larger |
Additional Information
Scientific Notation
42.45 can be written as 849 × 10⁻2 in scientific notation
Percentage
42.45 is equal to 4245.000% as a percentage
Common Calculations with 42.45
Quick Reference Guide
Common calculations and conversions with 42.45
Multiplication
- 42.45 × 10 = 424.5
- 42.45 × 100 = 4245
- 42.45 × 1000 = 42450
- 42.45 × 10000 = 424500
- 42.45 × 20 = 849
Division
- 42.45 ÷ 2 = 21.225
- 42.45 ÷ 5 = 8.49
- 42.45 ÷ 10 = 4.245
- 42.45 ÷ 1/42.45 = 20
42.45 in Different Number Systems
Decimal
42.45
Scientific Notation
849 × 10⁻2
Percentage
4245.000%
Fraction
849/20
Parts Per Million
42450000 PPM
Binary
0.0100 0101
Real-World Applications of 42.45
Where You Might Encounter 42.45
Scientific Applications
- • Microscopic measurements (42450000 micrometers)
- • Chemical concentrations
- • Statistical probability calculations
- • Error margins in precise measurements
Engineering
- • Manufacturing tolerances
- • Electronic component specifications
- • Quality control measurements
- • Precision engineering