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What is 0.72 as a Fraction?

Learn how to convert 0.72 to a fraction with step-by-step instructions

Quick Answer

0.72 as a fraction is:

18/25

This is the simplest form of the fraction

0.72 Decimal to Fraction Calculator

Convert Any Decimal to a Fraction

Enter a decimal number to see its fraction equivalent

How to Convert 0.72 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 0.72 to a Fraction

Let's apply the method to convert 0.72

1

Count the decimal places in 0.72

0.72
There are 2 digits after the decimal point
2

Multiply by 10⁵ (100)

0.72 × 100 = 72
Moving the decimal point 2 places right
3

Write as a fraction

72/100
Numerator: 72, Denominator: 100
4

Simplify the fraction

72/100 = 18/25
Divide both numbers by their greatest common factor (4)

Final Result

0.72 = 18/25

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 0.72 often result in fractions with large denominators

Related Decimal to Fraction Conversions

DecimalFractionComparison
0.0721.8/25Smaller
0.7218/25Current Value
7.2180/25Larger
721800/25Larger
72018000/25Larger

Additional Information

Scientific Notation

0.72 can be written as 18 × 10⁻2 in scientific notation

Percentage

0.72 is equal to 72.000% as a percentage

Common Calculations with 0.72

Quick Reference Guide

Common calculations and conversions with 0.72

Multiplication

  • 0.72 × 10 = 7.199999999999999
  • 0.72 × 100 = 72
  • 0.72 × 1000 = 720
  • 0.72 × 10000 = 7200
  • 0.72 × 25 = 18

Division

  • 0.72 ÷ 2 = 0.36
  • 0.72 ÷ 5 = 0.144
  • 0.72 ÷ 10 = 0.072
  • 0.72 ÷ 1/0.72 = 25

0.72 in Different Number Systems

Decimal

0.72

Scientific Notation

18 × 10⁻2

Percentage

72.000%

Fraction

18/25

Parts Per Million

720000 PPM

Binary

0.0111 0010

Real-World Applications of 0.72

Where You Might Encounter 0.72

Scientific Applications

  • • Microscopic measurements (720000 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