0.65 as a Fraction

Step-by-step explanation of how to convert 0.65 to a fraction.

Result
The decimal converted to a fraction
0.65
13
20

Step-by-Step Solution:

  1. 1

    Identify the decimal places

    0.65 has 2 decimal places.
  2. 2

    Multiply by the appropriate power of 10

    0.65 × 102 = 65
  3. 3

    Write as a fraction

    65
    100
  4. 4

    Simplify the fraction

    Find the greatest common divisor (GCD) of 65 and 100

    GCD = 5

    Numerator:

    65 5 = 13

    Denominator:

    100 5 = 20
  5. 5

    Final result

    The decimal 0.65 as a fraction is:

    13
    20
Decimal Properties
Information about this decimal number
Decimal Value:0.65
Fraction Form:13/20
Decimal Places:2
Whole Number Part:0
Decimal Part:0.65
Simplified By:GCD of 5
Percentage:65.00%
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Real-World Examples of 0.65
Practical applications of this decimal value
  • 0.65 is between a half and three-quarters of a whole unit.
  • In probability, 0.65 represents a 65% chance of an event occurring.
  • In decimal form, 0.65 can be used directly in calculations, while its fraction form 13/20 is often more precise for certain mathematical operations.
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