8.25 as a Fraction

Step-by-step explanation of how to convert 8.25 to a fraction.

Result
The decimal converted to a fraction
8.25
33
4

Step-by-Step Solution:

  1. 1

    Identify the decimal places

    8.25 has 2 decimal places.
  2. 2

    Multiply by the appropriate power of 10

    8.25 × 102 = 825
  3. 3

    Write as a fraction

    825
    100
  4. 4

    Simplify the fraction

    Find the greatest common divisor (GCD) of 825 and 100

    GCD = 25

    Numerator:

    825 25 = 33

    Denominator:

    100 25 = 4
  5. 5

    Final result

    The decimal 8.25 as a fraction is:

    33
    4
Decimal Properties
Information about this decimal number
Decimal Value:8.25
Fraction Form:33/4
Decimal Places:2
Whole Number Part:8
Decimal Part:0.25
Simplified By:GCD of 25
Percentage:825.00%
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Real-World Examples of 8.25
Practical applications of this decimal value
  • 8.25 represents 8 whole units plus 0.25 of another unit.
  • In measurements, 8.25 meters equals 8 meters and 25 centimeters.
  • In decimal form, 8.25 can be used directly in calculations, while its fraction form 33/4 is often more precise for certain mathematical operations.
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