6.75 as a Fraction

Step-by-step explanation of how to convert 6.75 to a fraction.

Result
The decimal converted to a fraction
6.75
27
4

Step-by-Step Solution:

  1. 1

    Identify the decimal places

    6.75 has 2 decimal places.
  2. 2

    Multiply by the appropriate power of 10

    6.75 × 102 = 675
  3. 3

    Write as a fraction

    675
    100
  4. 4

    Simplify the fraction

    Find the greatest common divisor (GCD) of 675 and 100

    GCD = 25

    Numerator:

    675 25 = 27

    Denominator:

    100 25 = 4
  5. 5

    Final result

    The decimal 6.75 as a fraction is:

    27
    4
Decimal Properties
Information about this decimal number
Decimal Value:6.75
Fraction Form:27/4
Decimal Places:2
Whole Number Part:6
Decimal Part:0.75
Simplified By:GCD of 25
Percentage:675.00%
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Real-World Examples of 6.75
Practical applications of this decimal value
  • 6.75 represents 6 whole units plus 0.75 of another unit.
  • In measurements, 6.75 meters equals 6 meters and 75 centimeters.
  • In decimal form, 6.75 can be used directly in calculations, while its fraction form 27/4 is often more precise for certain mathematical operations.
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