11.2 as a Fraction

Step-by-step explanation of how to convert 11.2 to a fraction.

Result
The decimal converted to a fraction
11.2
56
5

Step-by-Step Solution:

  1. 1

    Identify the decimal places

    11.2 has 1 decimal places.
  2. 2

    Multiply by the appropriate power of 10

    11.2 × 101 = 112
  3. 3

    Write as a fraction

    112
    10
  4. 4

    Simplify the fraction

    Find the greatest common divisor (GCD) of 112 and 10

    GCD = 2

    Numerator:

    112 2 = 56

    Denominator:

    10 2 = 5
  5. 5

    Final result

    The decimal 11.2 as a fraction is:

    56
    5
Decimal Properties
Information about this decimal number
Decimal Value:11.2
Fraction Form:56/5
Decimal Places:1
Whole Number Part:11
Decimal Part:0.2
Simplified By:GCD of 2
Percentage:1120.00%
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Real-World Examples of 11.2
Practical applications of this decimal value
  • 11.2 represents 11 whole units plus 0.1999999999999993 of another unit.
  • In measurements, 11.2 meters equals 11 meters and 19.99999999999993 centimeters.
  • In decimal form, 11.2 can be used directly in calculations, while its fraction form 56/5 is often more precise for certain mathematical operations.
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