10.74 as a Fraction

Step-by-step explanation of how to convert 10.74 to a fraction.

Result
The decimal converted to a fraction
10.74
537
50

Step-by-Step Solution:

  1. 1

    Identify the decimal places

    10.74 has 2 decimal places.
  2. 2

    Multiply by the appropriate power of 10

    10.74 × 102 = 1074
  3. 3

    Write as a fraction

    1074
    100
  4. 4

    Simplify the fraction

    Find the greatest common divisor (GCD) of 1074 and 100

    GCD = 2

    Numerator:

    1074 2 = 537

    Denominator:

    100 2 = 50
  5. 5

    Final result

    The decimal 10.74 as a fraction is:

    537
    50
Decimal Properties
Information about this decimal number
Decimal Value:10.74
Fraction Form:537/50
Decimal Places:2
Whole Number Part:10
Decimal Part:0.74
Simplified By:GCD of 2
Percentage:1074.00%
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Real-World Examples of 10.74
Practical applications of this decimal value
  • 10.74 represents 10 whole units plus 0.7400000000000002 of another unit.
  • In measurements, 10.74 meters equals 10 meters and 74.00000000000003 centimeters.
  • In decimal form, 10.74 can be used directly in calculations, while its fraction form 537/50 is often more precise for certain mathematical operations.