8.52 as a Fraction

Step-by-step explanation of how to convert 8.52 to a fraction.

Result
The decimal converted to a fraction
8.52
213
25

Step-by-Step Solution:

  1. 1

    Identify the decimal places

    8.52 has 2 decimal places.
  2. 2

    Multiply by the appropriate power of 10

    8.52 × 102 = 852
  3. 3

    Write as a fraction

    852
    100
  4. 4

    Simplify the fraction

    Find the greatest common divisor (GCD) of 852 and 100

    GCD = 4

    Numerator:

    852 4 = 213

    Denominator:

    100 4 = 25
  5. 5

    Final result

    The decimal 8.52 as a fraction is:

    213
    25
Decimal Properties
Information about this decimal number
Decimal Value:8.52
Fraction Form:213/25
Decimal Places:2
Whole Number Part:8
Decimal Part:0.52
Simplified By:GCD of 4
Percentage:852.00%
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Real-World Examples of 8.52
Practical applications of this decimal value
  • 8.52 represents 8 whole units plus 0.5199999999999996 of another unit.
  • In measurements, 8.52 meters equals 8 meters and 51.99999999999996 centimeters.
  • In decimal form, 8.52 can be used directly in calculations, while its fraction form 213/25 is often more precise for certain mathematical operations.