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What is 0.48 as a Fraction?

Learn how to convert 0.48 to a fraction with step-by-step instructions

Quick Answer

0.48 as a fraction is:

12/25

This is the simplest form of the fraction

0.48 Decimal to Fraction Calculator

Convert Any Decimal to a Fraction

Enter a decimal number to see its fraction equivalent

How to Convert 0.48 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 0.48 to a Fraction

Let's apply the method to convert 0.48

1

Count the decimal places in 0.48

0.48
There are 2 digits after the decimal point
2

Multiply by 10⁵ (100)

0.48 × 100 = 48
Moving the decimal point 2 places right
3

Write as a fraction

48/100
Numerator: 48, Denominator: 100
4

Simplify the fraction

48/100 = 12/25
Divide both numbers by their greatest common factor (4)

Final Result

0.48 = 12/25

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 0.48 often result in fractions with large denominators

Related Decimal to Fraction Conversions

DecimalFractionComparison
0.0481.2/25Smaller
0.4812/25Current Value
4.8120/25Larger
481200/25Larger
48012000/25Larger

Additional Information

Scientific Notation

0.48 can be written as 12 × 10⁻2 in scientific notation

Percentage

0.48 is equal to 48.000% as a percentage

Common Calculations with 0.48

Quick Reference Guide

Common calculations and conversions with 0.48

Multiplication

  • 0.48 × 10 = 4.8
  • 0.48 × 100 = 48
  • 0.48 × 1000 = 480
  • 0.48 × 10000 = 4800
  • 0.48 × 25 = 12

Division

  • 0.48 ÷ 2 = 0.24
  • 0.48 ÷ 5 = 0.096
  • 0.48 ÷ 10 = 0.048
  • 0.48 ÷ 1/0.48 = 25

0.48 in Different Number Systems

Decimal

0.48

Scientific Notation

12 × 10⁻2

Percentage

48.000%

Fraction

12/25

Parts Per Million

480000 PPM

Binary

0.0100 1000

Real-World Applications of 0.48

Where You Might Encounter 0.48

Scientific Applications

  • • Microscopic measurements (480000 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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