What is 21.42 as a Fraction?

Learn how to convert 21.42 to a fraction with step-by-step instructions

Quick Answer

21.42 as a fraction is:

1071/50

This is the simplest form of the fraction

21.42 Decimal to Fraction Calculator

Convert Any Decimal to a Fraction

Enter a decimal number to see its fraction equivalent

How to Convert 21.42 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 21.42 to a Fraction

Let's apply the method to convert 21.42

1

Count the decimal places in 21.42

21.42
There are 2 digits after the decimal point
2

Multiply by 10 (100)

21.42 × 100 = 2142
Moving the decimal point 2 places right
3

Write as a fraction

2142/100
Numerator: 2142, Denominator: 100
4

Simplify the fraction

2142/100 = 1071/50
Divide both numbers by their greatest common factor (2)

Final Result

21.42 = 1071/50

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 21.42 often result in fractions with large denominators
DecimalFractionComparison
2.142107.1/50Smaller
21.421071/50Current Value
214.210710/50Larger
2142107100/50Larger
214201071000/50Larger

Additional Information

Scientific Notation

21.42 can be written as 1071 × 10⁻2 in scientific notation

Percentage

21.42 is equal to 2142.000% as a percentage

Common Calculations with 21.42

Quick Reference Guide

Common calculations and conversions with 21.42

Multiplication

  • 21.42 × 10 = 214.20000000000002
  • 21.42 × 100 = 2142
  • 21.42 × 1000 = 21420
  • 21.42 × 10000 = 214200.00000000003
  • 21.42 × 50 = 1071

Division

  • 21.42 ÷ 2 = 10.71
  • 21.42 ÷ 5 = 4.284000000000001
  • 21.42 ÷ 10 = 2.1420000000000003
  • 21.42 ÷ 1/21.42 = 50

21.42 in Different Number Systems

Decimal

21.42

Scientific Notation

1071 × 10⁻2

Percentage

2142.000%

Fraction

1071/50

Parts Per Million

21420000 PPM

Binary

0.0100 0010

Real-World Applications of 21.42

Where You Might Encounter 21.42

Scientific Applications

  • • Microscopic measurements (21420000 micrometers)
  • • Chemical concentrations
  • • Statistical probability calculations
  • • Error margins in precise measurements

Engineering

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