5.64 as a Fraction

Step-by-step explanation of how to convert 5.64 to a fraction.

Result
The decimal converted to a fraction
5.64
141
25

Step-by-Step Solution:

  1. 1

    Identify the decimal places

    5.64 has 2 decimal places.
  2. 2

    Multiply by the appropriate power of 10

    5.64 × 102 = 564
  3. 3

    Write as a fraction

    564
    100
  4. 4

    Simplify the fraction

    Find the greatest common divisor (GCD) of 564 and 100

    GCD = 4

    Numerator:

    564 4 = 141

    Denominator:

    100 4 = 25
  5. 5

    Final result

    The decimal 5.64 as a fraction is:

    141
    25
Decimal Properties
Information about this decimal number
Decimal Value:5.64
Fraction Form:141/25
Decimal Places:2
Whole Number Part:5
Decimal Part:0.64
Simplified By:GCD of 4
Percentage:564.00%
Navigation
Explore other decimal to fraction conversions
5.635.65
Try Another Conversion
Real-World Examples of 5.64
Practical applications of this decimal value
  • 5.64 represents 5 whole units plus 0.6399999999999997 of another unit.
  • In measurements, 5.64 meters equals 5 meters and 63.99999999999997 centimeters.
  • In decimal form, 5.64 can be used directly in calculations, while its fraction form 141/25 is often more precise for certain mathematical operations.
Back to Decimal to Fraction Calculator