What is 2.4 as a Fraction?

Learn how to convert 2.4 to a fraction with step-by-step instructions

Quick Answer

2.4 as a fraction is:

12/5

This is the simplest form of the fraction

2.4 Decimal to Fraction Calculator

Convert Any Decimal to a Fraction

Enter a decimal number to see its fraction equivalent

How to Convert 2.4 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 2.4 to a Fraction

Let's apply the method to convert 2.4

1

Count the decimal places in 2.4

2.4
There is 1 digit after the decimal point
2

Multiply by 10 (10)

2.4 × 10 = 24
Moving the decimal point 1 place right
3

Write as a fraction

24/10
Numerator: 24, Denominator: 10
4

Simplify the fraction

24/10 = 12/5
Divide both numbers by their greatest common factor (2)

Final Result

2.4 = 12/5

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., 1 places = 10)
  • Very small decimals like 2.4 often result in fractions with large denominators
DecimalFractionComparison
0.241.2/5Smaller
2.412/5Current Value
24120/5Larger
2401200/5Larger
240012000/5Larger

Additional Information

Scientific Notation

2.4 can be written as 12 × 10⁻1 in scientific notation

Percentage

2.4 is equal to 240.000% as a percentage

Common Calculations with 2.4

Quick Reference Guide

Common calculations and conversions with 2.4

Multiplication

  • 2.4 × 10 = 24
  • 2.4 × 100 = 240
  • 2.4 × 1000 = 2400
  • 2.4 × 10000 = 24000
  • 2.4 × 5 = 12

Division

  • 2.4 ÷ 2 = 1.2
  • 2.4 ÷ 5 = 0.48
  • 2.4 ÷ 10 = 0.24
  • 2.4 ÷ 1/2.4 = 5

2.4 in Different Number Systems

Decimal

2.4

Scientific Notation

12 × 10⁻1

Percentage

240.000%

Fraction

12/5

Parts Per Million

2400000 PPM

Binary

0.0100

Real-World Applications of 2.4

Where You Might Encounter 2.4

Scientific Applications

  • • Microscopic measurements (2400000 micrometers)
  • • Chemical concentrations
  • • Statistical probability calculations
  • • Error margins in precise measurements

Engineering

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