0.125 as a Fraction

Step-by-step explanation of how to convert 0.125 to a fraction.

Result
The decimal converted to a fraction
0.125
1
8

Step-by-Step Solution:

  1. 1

    Identify the decimal places

    0.125 has 3 decimal places.
  2. 2

    Multiply by the appropriate power of 10

    0.125 × 103 = 125
  3. 3

    Write as a fraction

    125
    1000
  4. 4

    Simplify the fraction

    Find the greatest common divisor (GCD) of 125 and 1000

    GCD = 125

    Numerator:

    125 125 = 1

    Denominator:

    1000 125 = 8
  5. 5

    Final result

    The decimal 0.125 as a fraction is:

    1
    8
Decimal Properties
Information about this decimal number
Decimal Value:0.125
Fraction Form:1/8
Decimal Places:3
Whole Number Part:0
Decimal Part:0.125
Simplified By:GCD of 125
Percentage:12.50%
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Real-World Examples of 0.125
Practical applications of this decimal value
  • 0.125 is less than a quarter (0.25) of a whole unit.
  • In cooking, 0.125 cups might be used for small amounts of ingredients.
  • In decimal form, 0.125 can be used directly in calculations, while its fraction form 1/8 is often more precise for certain mathematical operations.
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