6.64 as a Fraction

Step-by-step explanation of how to convert 6.64 to a fraction.

Result
The decimal converted to a fraction
6.64
166
25

Step-by-Step Solution:

  1. 1

    Identify the decimal places

    6.64 has 2 decimal places.
  2. 2

    Multiply by the appropriate power of 10

    6.64 × 102 = 664
  3. 3

    Write as a fraction

    664
    100
  4. 4

    Simplify the fraction

    Find the greatest common divisor (GCD) of 664 and 100

    GCD = 4

    Numerator:

    664 4 = 166

    Denominator:

    100 4 = 25
  5. 5

    Final result

    The decimal 6.64 as a fraction is:

    166
    25
Decimal Properties
Information about this decimal number
Decimal Value:6.64
Fraction Form:166/25
Decimal Places:2
Whole Number Part:6
Decimal Part:0.64
Simplified By:GCD of 4
Percentage:664.00%
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Real-World Examples of 6.64
Practical applications of this decimal value
  • 6.64 represents 6 whole units plus 0.6399999999999997 of another unit.
  • In measurements, 6.64 meters equals 6 meters and 63.99999999999997 centimeters.
  • In decimal form, 6.64 can be used directly in calculations, while its fraction form 166/25 is often more precise for certain mathematical operations.
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