What is 30.48 as a Fraction?

Learn how to convert 30.48 to a fraction with step-by-step instructions

Quick Answer

30.48 as a fraction is:

762/25

This is the simplest form of the fraction

30.48 Decimal to Fraction Calculator

Convert Any Decimal to a Fraction

Enter a decimal number to see its fraction equivalent

How to Convert 30.48 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 30.48 to a Fraction

Let's apply the method to convert 30.48

1

Count the decimal places in 30.48

30.48
There are 2 digits after the decimal point
2

Multiply by 10 (100)

30.48 × 100 = 3048
Moving the decimal point 2 places right
3

Write as a fraction

3048/100
Numerator: 3048, Denominator: 100
4

Simplify the fraction

3048/100 = 762/25
Divide both numbers by their greatest common factor (4)

Final Result

30.48 = 762/25

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 30.48 often result in fractions with large denominators
DecimalFractionComparison
3.04876.2/25Smaller
30.48762/25Current Value
304.87620/25Larger
304876200/25Larger
30480762000/25Larger

Additional Information

Scientific Notation

30.48 can be written as 762 × 10⁻2 in scientific notation

Percentage

30.48 is equal to 3048.000% as a percentage

Common Calculations with 30.48

Quick Reference Guide

Common calculations and conversions with 30.48

Multiplication

  • 30.48 × 10 = 304.8
  • 30.48 × 100 = 3048
  • 30.48 × 1000 = 30480
  • 30.48 × 10000 = 304800
  • 30.48 × 25 = 762

Division

  • 30.48 ÷ 2 = 15.24
  • 30.48 ÷ 5 = 6.096
  • 30.48 ÷ 10 = 3.048
  • 30.48 ÷ 1/30.48 = 25

30.48 in Different Number Systems

Decimal

30.48

Scientific Notation

762 × 10⁻2

Percentage

3048.000%

Fraction

762/25

Parts Per Million

30480000 PPM

Binary

0.0100 1000

Real-World Applications of 30.48

Where You Might Encounter 30.48

Scientific Applications

  • • Microscopic measurements (30480000 micrometers)
  • • Chemical concentrations
  • • Statistical probability calculations
  • • Error margins in precise measurements

Engineering

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