6.84 as a Fraction

Step-by-step explanation of how to convert 6.84 to a fraction.

Result
The decimal converted to a fraction
6.84
171
25

Step-by-Step Solution:

  1. 1

    Identify the decimal places

    6.84 has 2 decimal places.
  2. 2

    Multiply by the appropriate power of 10

    6.84 × 102 = 684
  3. 3

    Write as a fraction

    684
    100
  4. 4

    Simplify the fraction

    Find the greatest common divisor (GCD) of 684 and 100

    GCD = 4

    Numerator:

    684 4 = 171

    Denominator:

    100 4 = 25
  5. 5

    Final result

    The decimal 6.84 as a fraction is:

    171
    25
Decimal Properties
Information about this decimal number
Decimal Value:6.84
Fraction Form:171/25
Decimal Places:2
Whole Number Part:6
Decimal Part:0.84
Simplified By:GCD of 4
Percentage:684.00%
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Real-World Examples of 6.84
Practical applications of this decimal value
  • 6.84 represents 6 whole units plus 0.8399999999999999 of another unit.
  • In measurements, 6.84 meters equals 6 meters and 83.99999999999999 centimeters.
  • In decimal form, 6.84 can be used directly in calculations, while its fraction form 171/25 is often more precise for certain mathematical operations.
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