10.2 as a Fraction

Step-by-step explanation of how to convert 10.2 to a fraction.

Result
The decimal converted to a fraction
10.2
51
5

Step-by-Step Solution:

  1. 1

    Identify the decimal places

    10.2 has 1 decimal places.
  2. 2

    Multiply by the appropriate power of 10

    10.2 × 101 = 102
  3. 3

    Write as a fraction

    102
    10
  4. 4

    Simplify the fraction

    Find the greatest common divisor (GCD) of 102 and 10

    GCD = 2

    Numerator:

    102 2 = 51

    Denominator:

    10 2 = 5
  5. 5

    Final result

    The decimal 10.2 as a fraction is:

    51
    5
Decimal Properties
Information about this decimal number
Decimal Value:10.2
Fraction Form:51/5
Decimal Places:1
Whole Number Part:10
Decimal Part:0.2
Simplified By:GCD of 2
Percentage:1020.00%
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Real-World Examples of 10.2
Practical applications of this decimal value
  • 10.2 represents 10 whole units plus 0.1999999999999993 of another unit.
  • In measurements, 10.2 meters equals 10 meters and 19.99999999999993 centimeters.
  • In decimal form, 10.2 can be used directly in calculations, while its fraction form 51/5 is often more precise for certain mathematical operations.
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