3.4 as a Fraction

Step-by-step explanation of how to convert 3.4 to a fraction.

Result
The decimal converted to a fraction
3.4
17
5

Step-by-Step Solution:

  1. 1

    Identify the decimal places

    3.4 has 1 decimal places.
  2. 2

    Multiply by the appropriate power of 10

    3.4 × 101 = 34
  3. 3

    Write as a fraction

    34
    10
  4. 4

    Simplify the fraction

    Find the greatest common divisor (GCD) of 34 and 10

    GCD = 2

    Numerator:

    34 2 = 17

    Denominator:

    10 2 = 5
  5. 5

    Final result

    The decimal 3.4 as a fraction is:

    17
    5
Decimal Properties
Information about this decimal number
Decimal Value:3.4
Fraction Form:17/5
Decimal Places:1
Whole Number Part:3
Decimal Part:0.4
Simplified By:GCD of 2
Percentage:340.00%
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Real-World Examples of 3.4
Practical applications of this decimal value
  • 3.4 represents 3 whole units plus 0.3999999999999999 of another unit.
  • In measurements, 3.4 meters equals 3 meters and 39.99999999999999 centimeters.
  • In decimal form, 3.4 can be used directly in calculations, while its fraction form 17/5 is often more precise for certain mathematical operations.