12.25 as a Fraction

Step-by-step explanation of how to convert 12.25 to a fraction.

Result
The decimal converted to a fraction
12.25
49
4

Step-by-Step Solution:

  1. 1

    Identify the decimal places

    12.25 has 2 decimal places.
  2. 2

    Multiply by the appropriate power of 10

    12.25 × 102 = 1225
  3. 3

    Write as a fraction

    1225
    100
  4. 4

    Simplify the fraction

    Find the greatest common divisor (GCD) of 1225 and 100

    GCD = 25

    Numerator:

    1225 25 = 49

    Denominator:

    100 25 = 4
  5. 5

    Final result

    The decimal 12.25 as a fraction is:

    49
    4
Decimal Properties
Information about this decimal number
Decimal Value:12.25
Fraction Form:49/4
Decimal Places:2
Whole Number Part:12
Decimal Part:0.25
Simplified By:GCD of 25
Percentage:1225.00%
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Real-World Examples of 12.25
Practical applications of this decimal value
  • 12.25 represents 12 whole units plus 0.25 of another unit.
  • In measurements, 12.25 meters equals 12 meters and 25 centimeters.
  • In decimal form, 12.25 can be used directly in calculations, while its fraction form 49/4 is often more precise for certain mathematical operations.
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