11.55 as a Fraction

Step-by-step explanation of how to convert 11.55 to a fraction.

Result
The decimal converted to a fraction
11.55
231
20

Step-by-Step Solution:

  1. 1

    Identify the decimal places

    11.55 has 2 decimal places.
  2. 2

    Multiply by the appropriate power of 10

    11.55 × 102 = 1155
  3. 3

    Write as a fraction

    1155
    100
  4. 4

    Simplify the fraction

    Find the greatest common divisor (GCD) of 1155 and 100

    GCD = 5

    Numerator:

    1155 5 = 231

    Denominator:

    100 5 = 20
  5. 5

    Final result

    The decimal 11.55 as a fraction is:

    231
    20
Decimal Properties
Information about this decimal number
Decimal Value:11.55
Fraction Form:231/20
Decimal Places:2
Whole Number Part:11
Decimal Part:0.55
Simplified By:GCD of 5
Percentage:1155.00%
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Real-World Examples of 11.55
Practical applications of this decimal value
  • 11.55 represents 11 whole units plus 0.5500000000000007 of another unit.
  • In measurements, 11.55 meters equals 11 meters and 55.00000000000007 centimeters.
  • In decimal form, 11.55 can be used directly in calculations, while its fraction form 231/20 is often more precise for certain mathematical operations.
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