8.4 as a Fraction

Step-by-step explanation of how to convert 8.4 to a fraction.

Result
The decimal converted to a fraction
8.4
42
5

Step-by-Step Solution:

  1. 1

    Identify the decimal places

    8.4 has 1 decimal places.
  2. 2

    Multiply by the appropriate power of 10

    8.4 × 101 = 84
  3. 3

    Write as a fraction

    84
    10
  4. 4

    Simplify the fraction

    Find the greatest common divisor (GCD) of 84 and 10

    GCD = 2

    Numerator:

    84 2 = 42

    Denominator:

    10 2 = 5
  5. 5

    Final result

    The decimal 8.4 as a fraction is:

    42
    5
Decimal Properties
Information about this decimal number
Decimal Value:8.4
Fraction Form:42/5
Decimal Places:1
Whole Number Part:8
Decimal Part:0.4
Simplified By:GCD of 2
Percentage:840.00%
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Real-World Examples of 8.4
Practical applications of this decimal value
  • 8.4 represents 8 whole units plus 0.40000000000000036 of another unit.
  • In measurements, 8.4 meters equals 8 meters and 40.000000000000036 centimeters.
  • In decimal form, 8.4 can be used directly in calculations, while its fraction form 42/5 is often more precise for certain mathematical operations.
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