0.4 as a Fraction

Step-by-step explanation of how to convert 0.4 to a fraction.

Result
The decimal converted to a fraction
0.4
2
5

Step-by-Step Solution:

  1. 1

    Identify the decimal places

    0.4 has 1 decimal places.
  2. 2

    Multiply by the appropriate power of 10

    0.4 × 101 = 4
  3. 3

    Write as a fraction

    4
    10
  4. 4

    Simplify the fraction

    Find the greatest common divisor (GCD) of 4 and 10

    GCD = 2

    Numerator:

    4 2 = 2

    Denominator:

    10 2 = 5
  5. 5

    Final result

    The decimal 0.4 as a fraction is:

    2
    5
Decimal Properties
Information about this decimal number
Decimal Value:0.4
Fraction Form:2/5
Decimal Places:1
Whole Number Part:0
Decimal Part:0.4
Simplified By:GCD of 2
Percentage:40.00%
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Real-World Examples of 0.4
Practical applications of this decimal value
  • 0.4 is between a quarter and a half of a whole unit.
  • In sports statistics, 0.4 might represent a success rate or completion percentage.
  • In decimal form, 0.4 can be used directly in calculations, while its fraction form 2/5 is often more precise for certain mathematical operations.
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