What is 8.29 as a Fraction?

Learn how to convert 8.29 to a fraction with step-by-step instructions

Quick Answer

8.29 as a fraction is:

829/100

This is the simplest form of the fraction

8.29 Decimal to Fraction Calculator

Convert Any Decimal to a Fraction

Enter a decimal number to see its fraction equivalent

How to Convert 8.29 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 8.29 to a Fraction

Let's apply the method to convert 8.29

1

Count the decimal places in 8.29

8.29
There are 2 digits after the decimal point
2

Multiply by 10 (100)

8.29 × 100 = 829
Moving the decimal point 2 places right
3

Write as a fraction

829/100
Numerator: 829, Denominator: 100
4

Simplify the fraction

829/100 = 829/100
This fraction is already in its simplest form

Final Result

8.29 = 829/100

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 8.29 often result in fractions with large denominators
DecimalFractionComparison
0.82982.9/100Smaller
8.29829/100Current Value
82.98290/100Larger
82982900/100Larger
8290829000/100Larger

Additional Information

Scientific Notation

8.29 can be written as 829 × 10⁻2 in scientific notation

Percentage

8.29 is equal to 829.000% as a percentage

Common Calculations with 8.29

Quick Reference Guide

Common calculations and conversions with 8.29

Multiplication

  • 8.29 × 10 = 82.89999999999999
  • 8.29 × 100 = 828.9999999999999
  • 8.29 × 1000 = 8290
  • 8.29 × 10000 = 82899.99999999999
  • 8.29 × 100 = 829

Division

  • 8.29 ÷ 2 = 4.145
  • 8.29 ÷ 5 = 1.658
  • 8.29 ÷ 10 = 0.829
  • 8.29 ÷ 1/8.29 = 100

8.29 in Different Number Systems

Decimal

8.29

Scientific Notation

829 × 10⁻2

Percentage

829.000%

Fraction

829/100

Parts Per Million

8289999.999999999 PPM

Binary

0.0010 1001

Real-World Applications of 8.29

Where You Might Encounter 8.29

Scientific Applications

  • • Microscopic measurements (8289999.999999999 micrometers)
  • • Chemical concentrations
  • • Statistical probability calculations
  • • Error margins in precise measurements

Engineering

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