10.02 as a Fraction

Step-by-step explanation of how to convert 10.02 to a fraction.

Result
The decimal converted to a fraction
10.02
501
50

Step-by-Step Solution:

  1. 1

    Identify the decimal places

    10.02 has 2 decimal places.
  2. 2

    Multiply by the appropriate power of 10

    10.02 × 102 = 1002
  3. 3

    Write as a fraction

    1002
    100
  4. 4

    Simplify the fraction

    Find the greatest common divisor (GCD) of 1002 and 100

    GCD = 2

    Numerator:

    1002 2 = 501

    Denominator:

    100 2 = 50
  5. 5

    Final result

    The decimal 10.02 as a fraction is:

    501
    50
Decimal Properties
Information about this decimal number
Decimal Value:10.02
Fraction Form:501/50
Decimal Places:2
Whole Number Part:10
Decimal Part:0.02
Simplified By:GCD of 2
Percentage:1002.00%
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Real-World Examples of 10.02
Practical applications of this decimal value
  • 10.02 represents 10 whole units plus 0.019999999999999574 of another unit.
  • In measurements, 10.02 meters equals 10 meters and 1.9999999999999574 centimeters.
  • In decimal form, 10.02 can be used directly in calculations, while its fraction form 501/50 is often more precise for certain mathematical operations.
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