3.64 as a Fraction

Step-by-step explanation of how to convert 3.64 to a fraction.

Result
The decimal converted to a fraction
3.64
91
25

Step-by-Step Solution:

  1. 1

    Identify the decimal places

    3.64 has 2 decimal places.
  2. 2

    Multiply by the appropriate power of 10

    3.64 × 102 = 364
  3. 3

    Write as a fraction

    364
    100
  4. 4

    Simplify the fraction

    Find the greatest common divisor (GCD) of 364 and 100

    GCD = 4

    Numerator:

    364 4 = 91

    Denominator:

    100 4 = 25
  5. 5

    Final result

    The decimal 3.64 as a fraction is:

    91
    25
Decimal Properties
Information about this decimal number
Decimal Value:3.64
Fraction Form:91/25
Decimal Places:2
Whole Number Part:3
Decimal Part:0.64
Simplified By:GCD of 4
Percentage:364.00%
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Real-World Examples of 3.64
Practical applications of this decimal value
  • 3.64 represents 3 whole units plus 0.6400000000000001 of another unit.
  • In measurements, 3.64 meters equals 3 meters and 64.00000000000001 centimeters.
  • In decimal form, 3.64 can be used directly in calculations, while its fraction form 91/25 is often more precise for certain mathematical operations.
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