What is 3.48 as a Fraction?

Learn how to convert 3.48 to a fraction with step-by-step instructions

Quick Answer

3.48 as a fraction is:

87/25

This is the simplest form of the fraction

3.48 Decimal to Fraction Calculator

Convert Any Decimal to a Fraction

Enter a decimal number to see its fraction equivalent

How to Convert 3.48 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 3.48 to a Fraction

Let's apply the method to convert 3.48

1

Count the decimal places in 3.48

3.48
There are 2 digits after the decimal point
2

Multiply by 10 (100)

3.48 × 100 = 348
Moving the decimal point 2 places right
3

Write as a fraction

348/100
Numerator: 348, Denominator: 100
4

Simplify the fraction

348/100 = 87/25
Divide both numbers by their greatest common factor (4)

Final Result

3.48 = 87/25

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 3.48 often result in fractions with large denominators
DecimalFractionComparison
0.3488.7/25Smaller
3.4887/25Current Value
34.8870/25Larger
3488700/25Larger
348087000/25Larger

Additional Information

Scientific Notation

3.48 can be written as 87 × 10⁻2 in scientific notation

Percentage

3.48 is equal to 348.000% as a percentage

Common Calculations with 3.48

Quick Reference Guide

Common calculations and conversions with 3.48

Multiplication

  • 3.48 × 10 = 34.8
  • 3.48 × 100 = 348
  • 3.48 × 1000 = 3480
  • 3.48 × 10000 = 34800
  • 3.48 × 25 = 87

Division

  • 3.48 ÷ 2 = 1.74
  • 3.48 ÷ 5 = 0.696
  • 3.48 ÷ 10 = 0.348
  • 3.48 ÷ 1/3.48 = 25

3.48 in Different Number Systems

Decimal

3.48

Scientific Notation

87 × 10⁻2

Percentage

348.000%

Fraction

87/25

Parts Per Million

3480000 PPM

Binary

0.0100 1000

Real-World Applications of 3.48

Where You Might Encounter 3.48

Scientific Applications

  • • Microscopic measurements (3480000 micrometers)
  • • Chemical concentrations
  • • Statistical probability calculations
  • • Error margins in precise measurements

Engineering

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