49.45 as a Fraction

Step-by-step explanation of how to convert 49.45 to a fraction.

Result
The decimal converted to a fraction
49.45
989
20

Step-by-Step Solution:

  1. 1

    Identify the decimal places

    49.45 has 2 decimal places.
  2. 2

    Multiply by the appropriate power of 10

    49.45 × 102 = 4945
  3. 3

    Write as a fraction

    4945
    100
  4. 4

    Simplify the fraction

    Find the greatest common divisor (GCD) of 4945 and 100

    GCD = 5

    Numerator:

    4945 5 = 989

    Denominator:

    100 5 = 20
  5. 5

    Final result

    The decimal 49.45 as a fraction is:

    989
    20
Decimal Properties
Information about this decimal number
Decimal Value:49.45
Fraction Form:989/20
Decimal Places:2
Whole Number Part:49
Decimal Part:0.45
Simplified By:GCD of 5
Percentage:4945.00%
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Real-World Examples of 49.45
Practical applications of this decimal value
  • 49.45 represents 49 whole units plus 0.45000000000000284 of another unit.
  • In measurements, 49.45 meters equals 49 meters and 45.000000000000284 centimeters.
  • In decimal form, 49.45 can be used directly in calculations, while its fraction form 989/20 is often more precise for certain mathematical operations.
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