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What is 1.5 as a Fraction?

Learn how to convert 1.5 to a fraction with step-by-step instructions

Quick Answer

1.5 as a fraction is:

3/2

This is the simplest form of the fraction

1.5 Decimal to Fraction Calculator

Convert Any Decimal to a Fraction

Enter a decimal number to see its fraction equivalent

How to Convert 1.5 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 1.5 to a Fraction

Let's apply the method to convert 1.5

1

Count the decimal places in 1.5

1.5
There is 1 digit after the decimal point
2

Multiply by 10 (10)

1.5 × 10 = 15
Moving the decimal point 1 place right
3

Write as a fraction

15/10
Numerator: 15, Denominator: 10
4

Simplify the fraction

15/10 = 3/2
Divide both numbers by their greatest common factor (5)

Final Result

1.5 = 3/2

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 1.5 often result in fractions with large denominators

Related Decimal to Fraction Conversions

DecimalFractionComparison
0.150.3/2Smaller
1.53/2Current Value
1530/2Larger
150300/2Larger
15003000/2Larger

Additional Information

Scientific Notation

1.5 can be written as 3 × 10⁻1 in scientific notation

Percentage

1.5 is equal to 150.000% as a percentage

Common Calculations with 1.5

Quick Reference Guide

Common calculations and conversions with 1.5

Multiplication

  • 1.5 × 10 = 15
  • 1.5 × 100 = 150
  • 1.5 × 1000 = 1500
  • 1.5 × 10000 = 15000
  • 1.5 × 2 = 3

Division

  • 1.5 ÷ 2 = 0.75
  • 1.5 ÷ 5 = 0.3
  • 1.5 ÷ 10 = 0.15
  • 1.5 ÷ 1/1.5 = 2

1.5 in Different Number Systems

Decimal

1.5

Scientific Notation

3 × 10⁻1

Percentage

150.000%

Fraction

3/2

Parts Per Million

1500000 PPM

Binary

0.0101

Real-World Applications of 1.5

Where You Might Encounter 1.5

Scientific Applications

  • • Microscopic measurements (1500000 micrometers)
  • • Chemical concentrations
  • • Statistical probability calculations
  • • Error margins in precise measurements

Engineering

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

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