CalcunautWhat is 1.264 as a Fraction?
Learn how to convert 1.264 to a fraction with step-by-step instructions
Quick Answer
1.264 as a fraction is:
158/125
This is the simplest form of the fraction
1.264 Decimal to Fraction Calculator
Convert Any Decimal to a Fraction
Enter a decimal number to see its fraction equivalent
How to Convert 1.264 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 1.264 to a Fraction
Let's apply the method to convert 1.264
Count the decimal places in 1.264
Multiply by 10⁵ (1,000)
Write as a fraction
Simplify the fraction
Final Result
1.264 = 158/125
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., 3 places = 1,000)
- Very small decimals like 1.264 often result in fractions with large denominators
Related Decimal to Fraction Conversions
| Decimal | Fraction | Comparison |
|---|---|---|
| 0.1264 | 15.8/125 | Smaller |
| 1.264 | 158/125 | Current Value |
| 12.64 | 1580/125 | Larger |
| 126.4 | 15800/125 | Larger |
| 1264 | 158000/125 | Larger |
Additional Information
Scientific Notation
1.264 can be written as 158 × 10⁻3 in scientific notation
Percentage
1.264 is equal to 126.400% as a percentage
Common Calculations with 1.264
Quick Reference Guide
Common calculations and conversions with 1.264
Multiplication
- 1.264 × 10 = 12.64
- 1.264 × 100 = 126.4
- 1.264 × 1000 = 1264
- 1.264 × 10000 = 12640
- 1.264 × 125 = 158
Division
- 1.264 ÷ 2 = 0.632
- 1.264 ÷ 5 = 0.2528
- 1.264 ÷ 10 = 0.1264
- 1.264 ÷ 1/1.264 = 125
1.264 in Different Number Systems
Decimal
1.264
Scientific Notation
158 × 10⁻3
Percentage
126.400%
Fraction
158/125
Parts Per Million
1264000 PPM
Binary
0.0010 0110 0100
Real-World Applications of 1.264
Where You Might Encounter 1.264
Scientific Applications
- • Microscopic measurements (1264000 micrometers)
- • Chemical concentrations
- • Statistical probability calculations
- • Error margins in precise measurements
Engineering
- • Manufacturing tolerances
- • Electronic component specifications
- • Quality control measurements
- • Precision engineering