13.85 as a Fraction

Step-by-step explanation of how to convert 13.85 to a fraction.

Result
The decimal converted to a fraction
13.85
277
20

Step-by-Step Solution:

  1. 1

    Identify the decimal places

    13.85 has 2 decimal places.
  2. 2

    Multiply by the appropriate power of 10

    13.85 × 102 = 1385
  3. 3

    Write as a fraction

    1385
    100
  4. 4

    Simplify the fraction

    Find the greatest common divisor (GCD) of 1385 and 100

    GCD = 5

    Numerator:

    1385 5 = 277

    Denominator:

    100 5 = 20
  5. 5

    Final result

    The decimal 13.85 as a fraction is:

    277
    20
Decimal Properties
Information about this decimal number
Decimal Value:13.85
Fraction Form:277/20
Decimal Places:2
Whole Number Part:13
Decimal Part:0.85
Simplified By:GCD of 5
Percentage:1385.00%
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Real-World Examples of 13.85
Practical applications of this decimal value
  • 13.85 represents 13 whole units plus 0.8499999999999996 of another unit.
  • In measurements, 13.85 meters equals 13 meters and 84.99999999999997 centimeters.
  • In decimal form, 13.85 can be used directly in calculations, while its fraction form 277/20 is often more precise for certain mathematical operations.
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