Calcunaut LogoCalcunaut

What is 1.3 as a Fraction?

Learn how to convert 1.3 to a fraction with step-by-step instructions

Quick Answer

1.3 as a fraction is:

13/10

This is the simplest form of the fraction

1.3 Decimal to Fraction Calculator

Convert Any Decimal to a Fraction

Enter a decimal number to see its fraction equivalent

How to Convert 1.3 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 1.3 to a Fraction

Let's apply the method to convert 1.3

1

Count the decimal places in 1.3

1.3
There is 1 digit after the decimal point
2

Multiply by 10 (10)

1.3 × 10 = 13
Moving the decimal point 1 place right
3

Write as a fraction

13/10
Numerator: 13, Denominator: 10
4

Simplify the fraction

13/10 = 13/10
This fraction is already in its simplest form

Final Result

1.3 = 13/10

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 1.3 often result in fractions with large denominators

Related Decimal to Fraction Conversions

DecimalFractionComparison
0.131.3/10Smaller
1.313/10Current Value
13130/10Larger
1301300/10Larger
130013000/10Larger

Additional Information

Scientific Notation

1.3 can be written as 13 × 10⁻1 in scientific notation

Percentage

1.3 is equal to 130.000% as a percentage

Common Calculations with 1.3

Quick Reference Guide

Common calculations and conversions with 1.3

Multiplication

  • 1.3 × 10 = 13
  • 1.3 × 100 = 130
  • 1.3 × 1000 = 1300
  • 1.3 × 10000 = 13000
  • 1.3 × 10 = 13

Division

  • 1.3 ÷ 2 = 0.65
  • 1.3 ÷ 5 = 0.26
  • 1.3 ÷ 10 = 0.13
  • 1.3 ÷ 1/1.3 = 10

1.3 in Different Number Systems

Decimal

1.3

Scientific Notation

13 × 10⁻1

Percentage

130.000%

Fraction

13/10

Parts Per Million

1300000 PPM

Binary

0.0011

Real-World Applications of 1.3

Where You Might Encounter 1.3

Scientific Applications

  • • Microscopic measurements (1300000 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