8.2 as a Fraction

Step-by-step explanation of how to convert 8.2 to a fraction.

Result
The decimal converted to a fraction
8.2
41
5

Step-by-Step Solution:

  1. 1

    Identify the decimal places

    8.2 has 1 decimal places.
  2. 2

    Multiply by the appropriate power of 10

    8.2 × 101 = 82
  3. 3

    Write as a fraction

    82
    10
  4. 4

    Simplify the fraction

    Find the greatest common divisor (GCD) of 82 and 10

    GCD = 2

    Numerator:

    82 2 = 41

    Denominator:

    10 2 = 5
  5. 5

    Final result

    The decimal 8.2 as a fraction is:

    41
    5
Decimal Properties
Information about this decimal number
Decimal Value:8.2
Fraction Form:41/5
Decimal Places:1
Whole Number Part:8
Decimal Part:0.2
Simplified By:GCD of 2
Percentage:820.00%
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Real-World Examples of 8.2
Practical applications of this decimal value
  • 8.2 represents 8 whole units plus 0.1999999999999993 of another unit.
  • In measurements, 8.2 meters equals 8 meters and 19.99999999999993 centimeters.
  • In decimal form, 8.2 can be used directly in calculations, while its fraction form 41/5 is often more precise for certain mathematical operations.
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