Calcunaut LogoCalcunaut

What is 0.52 as a Fraction?

Learn how to convert 0.52 to a fraction with step-by-step instructions

Quick Answer

0.52 as a fraction is:

13/25

This is the simplest form of the fraction

0.52 Decimal to Fraction Calculator

Convert Any Decimal to a Fraction

Enter a decimal number to see its fraction equivalent

How to Convert 0.52 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 0.52 to a Fraction

Let's apply the method to convert 0.52

1

Count the decimal places in 0.52

0.52
There are 2 digits after the decimal point
2

Multiply by 10⁵ (100)

0.52 × 100 = 52
Moving the decimal point 2 places right
3

Write as a fraction

52/100
Numerator: 52, Denominator: 100
4

Simplify the fraction

52/100 = 13/25
Divide both numbers by their greatest common factor (4)

Final Result

0.52 = 13/25

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 0.52 often result in fractions with large denominators

Related Decimal to Fraction Conversions

DecimalFractionComparison
0.0521.3/25Smaller
0.5213/25Current Value
5.2130/25Larger
521300/25Larger
52013000/25Larger

Additional Information

Scientific Notation

0.52 can be written as 13 × 10⁻2 in scientific notation

Percentage

0.52 is equal to 52.000% as a percentage

Common Calculations with 0.52

Quick Reference Guide

Common calculations and conversions with 0.52

Multiplication

  • 0.52 × 10 = 5.2
  • 0.52 × 100 = 52
  • 0.52 × 1000 = 520
  • 0.52 × 10000 = 5200
  • 0.52 × 25 = 13

Division

  • 0.52 ÷ 2 = 0.26
  • 0.52 ÷ 5 = 0.10400000000000001
  • 0.52 ÷ 10 = 0.052000000000000005
  • 0.52 ÷ 1/0.52 = 25

0.52 in Different Number Systems

Decimal

0.52

Scientific Notation

13 × 10⁻2

Percentage

52.000%

Fraction

13/25

Parts Per Million

520000 PPM

Binary

0.0101 0010

Real-World Applications of 0.52

Where You Might Encounter 0.52

Scientific Applications

  • • Microscopic measurements (520000 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