What is 5.4 as a Fraction?

Learn how to convert 5.4 to a fraction with step-by-step instructions

Quick Answer

5.4 as a fraction is:

27/5

This is the simplest form of the fraction

5.4 Decimal to Fraction Calculator

Convert Any Decimal to a Fraction

Enter a decimal number to see its fraction equivalent

How to Convert 5.4 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 5.4 to a Fraction

Let's apply the method to convert 5.4

1

Count the decimal places in 5.4

5.4
There is 1 digit after the decimal point
2

Multiply by 10 (10)

5.4 × 10 = 54
Moving the decimal point 1 place right
3

Write as a fraction

54/10
Numerator: 54, Denominator: 10
4

Simplify the fraction

54/10 = 27/5
Divide both numbers by their greatest common factor (2)

Final Result

5.4 = 27/5

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 5.4 often result in fractions with large denominators
DecimalFractionComparison
0.542.7/5Smaller
5.427/5Current Value
54270/5Larger
5402700/5Larger
540027000/5Larger

Additional Information

Scientific Notation

5.4 can be written as 27 × 10⁻1 in scientific notation

Percentage

5.4 is equal to 540.000% as a percentage

Common Calculations with 5.4

Quick Reference Guide

Common calculations and conversions with 5.4

Multiplication

  • 5.4 × 10 = 54
  • 5.4 × 100 = 540
  • 5.4 × 1000 = 5400
  • 5.4 × 10000 = 54000
  • 5.4 × 5 = 27

Division

  • 5.4 ÷ 2 = 2.7
  • 5.4 ÷ 5 = 1.08
  • 5.4 ÷ 10 = 0.54
  • 5.4 ÷ 1/5.4 = 5

5.4 in Different Number Systems

Decimal

5.4

Scientific Notation

27 × 10⁻1

Percentage

540.000%

Fraction

27/5

Parts Per Million

5400000 PPM

Binary

0.0100

Real-World Applications of 5.4

Where You Might Encounter 5.4

Scientific Applications

  • • Microscopic measurements (5400000 micrometers)
  • • Chemical concentrations
  • • Statistical probability calculations
  • • Error margins in precise measurements

Engineering

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