What is 40.24 as a Fraction?

Learn how to convert 40.24 to a fraction with step-by-step instructions

Quick Answer

40.24 as a fraction is:

1006/25

This is the simplest form of the fraction

40.24 Decimal to Fraction Calculator

Convert Any Decimal to a Fraction

Enter a decimal number to see its fraction equivalent

How to Convert 40.24 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 40.24 to a Fraction

Let's apply the method to convert 40.24

1

Count the decimal places in 40.24

40.24
There are 2 digits after the decimal point
2

Multiply by 10 (100)

40.24 × 100 = 4024
Moving the decimal point 2 places right
3

Write as a fraction

4024/100
Numerator: 4024, Denominator: 100
4

Simplify the fraction

4024/100 = 1006/25
Divide both numbers by their greatest common factor (4)

Final Result

40.24 = 1006/25

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 40.24 often result in fractions with large denominators
DecimalFractionComparison
4.024100.6/25Smaller
40.241006/25Current Value
402.410060/25Larger
4024100600/25Larger
402401006000/25Larger

Additional Information

Scientific Notation

40.24 can be written as 1006 × 10⁻2 in scientific notation

Percentage

40.24 is equal to 4024.000% as a percentage

Common Calculations with 40.24

Quick Reference Guide

Common calculations and conversions with 40.24

Multiplication

  • 40.24 × 10 = 402.40000000000003
  • 40.24 × 100 = 4024
  • 40.24 × 1000 = 40240
  • 40.24 × 10000 = 402400
  • 40.24 × 25 = 1006

Division

  • 40.24 ÷ 2 = 20.12
  • 40.24 ÷ 5 = 8.048
  • 40.24 ÷ 10 = 4.024
  • 40.24 ÷ 1/40.24 = 25

40.24 in Different Number Systems

Decimal

40.24

Scientific Notation

1006 × 10⁻2

Percentage

4024.000%

Fraction

1006/25

Parts Per Million

40240000 PPM

Binary

0.0010 0100

Real-World Applications of 40.24

Where You Might Encounter 40.24

Scientific Applications

  • • Microscopic measurements (40240000 micrometers)
  • • Chemical concentrations
  • • Statistical probability calculations
  • • Error margins in precise measurements

Engineering

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