10.24 as a Fraction

Step-by-step explanation of how to convert 10.24 to a fraction.

Result
The decimal converted to a fraction
10.24
256
25

Step-by-Step Solution:

  1. 1

    Identify the decimal places

    10.24 has 2 decimal places.
  2. 2

    Multiply by the appropriate power of 10

    10.24 × 102 = 1024
  3. 3

    Write as a fraction

    1024
    100
  4. 4

    Simplify the fraction

    Find the greatest common divisor (GCD) of 1024 and 100

    GCD = 4

    Numerator:

    1024 4 = 256

    Denominator:

    100 4 = 25
  5. 5

    Final result

    The decimal 10.24 as a fraction is:

    256
    25
Decimal Properties
Information about this decimal number
Decimal Value:10.24
Fraction Form:256/25
Decimal Places:2
Whole Number Part:10
Decimal Part:0.24
Simplified By:GCD of 4
Percentage:1024.00%
Navigation
Explore other decimal to fraction conversions
10.2310.25
Try Another Conversion
Real-World Examples of 10.24
Practical applications of this decimal value
  • 10.24 represents 10 whole units plus 0.2400000000000002 of another unit.
  • In measurements, 10.24 meters equals 10 meters and 24.00000000000002 centimeters.
  • In decimal form, 10.24 can be used directly in calculations, while its fraction form 256/25 is often more precise for certain mathematical operations.
Back to Decimal to Fraction Calculator