Calcunaut LogoCalcunaut

What is 0.45 as a Fraction?

Learn how to convert 0.45 to a fraction with step-by-step instructions

Quick Answer

0.45 as a fraction is:

9/20

This is the simplest form of the fraction

0.45 Decimal to Fraction Calculator

Convert Any Decimal to a Fraction

Enter a decimal number to see its fraction equivalent

How to Convert 0.45 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 0.45 to a Fraction

Let's apply the method to convert 0.45

1

Count the decimal places in 0.45

0.45
There are 2 digits after the decimal point
2

Multiply by 10⁵ (100)

0.45 × 100 = 45
Moving the decimal point 2 places right
3

Write as a fraction

45/100
Numerator: 45, Denominator: 100
4

Simplify the fraction

45/100 = 9/20
Divide both numbers by their greatest common factor (5)

Final Result

0.45 = 9/20

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 0.45 often result in fractions with large denominators

Related Decimal to Fraction Conversions

DecimalFractionComparison
0.0450.9/20Smaller
0.459/20Current Value
4.590/20Larger
45900/20Larger
4509000/20Larger

Additional Information

Scientific Notation

0.45 can be written as 9 × 10⁻2 in scientific notation

Percentage

0.45 is equal to 45.000% as a percentage

Common Calculations with 0.45

Quick Reference Guide

Common calculations and conversions with 0.45

Multiplication

  • 0.45 × 10 = 4.5
  • 0.45 × 100 = 45
  • 0.45 × 1000 = 450
  • 0.45 × 10000 = 4500
  • 0.45 × 20 = 9

Division

  • 0.45 ÷ 2 = 0.225
  • 0.45 ÷ 5 = 0.09
  • 0.45 ÷ 10 = 0.045
  • 0.45 ÷ 1/0.45 = 20

0.45 in Different Number Systems

Decimal

0.45

Scientific Notation

9 × 10⁻2

Percentage

45.000%

Fraction

9/20

Parts Per Million

450000 PPM

Binary

0.0100 0101

Real-World Applications of 0.45

Where You Might Encounter 0.45

Scientific Applications

  • • Microscopic measurements (450000 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