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What is 0.24 as a Fraction?

Learn how to convert 0.24 to a fraction with step-by-step instructions

Quick Answer

0.24 as a fraction is:

6/25

This is the simplest form of the fraction

0.24 Decimal to Fraction Calculator

Convert Any Decimal to a Fraction

Enter a decimal number to see its fraction equivalent

How to Convert 0.24 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 0.24 to a Fraction

Let's apply the method to convert 0.24

1

Count the decimal places in 0.24

0.24
There are 2 digits after the decimal point
2

Multiply by 10⁵ (100)

0.24 × 100 = 24
Moving the decimal point 2 places right
3

Write as a fraction

24/100
Numerator: 24, Denominator: 100
4

Simplify the fraction

24/100 = 6/25
Divide both numbers by their greatest common factor (4)

Final Result

0.24 = 6/25

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 0.24 often result in fractions with large denominators

Related Decimal to Fraction Conversions

DecimalFractionComparison
0.0240.6/25Smaller
0.246/25Current Value
2.460/25Larger
24600/25Larger
2406000/25Larger

Additional Information

Scientific Notation

0.24 can be written as 6 × 10⁻2 in scientific notation

Percentage

0.24 is equal to 24.000% as a percentage

Common Calculations with 0.24

Quick Reference Guide

Common calculations and conversions with 0.24

Multiplication

  • 0.24 × 10 = 2.4
  • 0.24 × 100 = 24
  • 0.24 × 1000 = 240
  • 0.24 × 10000 = 2400
  • 0.24 × 25 = 6

Division

  • 0.24 ÷ 2 = 0.12
  • 0.24 ÷ 5 = 0.048
  • 0.24 ÷ 10 = 0.024
  • 0.24 ÷ 1/0.24 = 25

0.24 in Different Number Systems

Decimal

0.24

Scientific Notation

6 × 10⁻2

Percentage

24.000%

Fraction

6/25

Parts Per Million

240000 PPM

Binary

0.0010 0100

Real-World Applications of 0.24

Where You Might Encounter 0.24

Scientific Applications

  • • Microscopic measurements (240000 micrometers)
  • • Chemical concentrations
  • • Statistical probability calculations
  • • Error margins in precise measurements

Engineering

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

Related Decimal Conversions