The simplest fraction form of 20.0925 is

General
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the simplest fraction form of 20.0925 is

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What is the simplest fraction form of 20.0925?

To convert the decimal 20.0925 into its simplest fractional form, follow these steps:

  1. Identify Place Value:
    The decimal 20.0925 has four decimal places. Therefore, the numerical representation can be seen as (20 \frac{925}{10000}).

  2. Convert to Fraction:

    • Write the decimal part 0.0925 as a fraction:
\frac{925}{10000}

  1. Simplify the Fraction:

    • To simplify, find the greatest common divisor (GCD) of 925 and 10000.
    • Using the Euclidean algorithm or by prime factorization:
      • Factors of 925: (5 \times 5 \times 37)
      • Factors of 10000: (2^4 \times 5^4)
    • The common factor is (5^2).

    Simplifying \frac{925}{10000} by dividing both the numerator and the denominator by 25 (which is (5^2)):

    \frac{925 \div 25}{10000 \div 25} = \frac{37}{400}

4. **Combine with Integer Part:** - The number can now be expressed as \(20 \frac{37}{400}\) or in improper fraction form: - Multiply the integer 20 by the denominator 400: $ 20 \times 400 = 8000 $ - Add the numerator 37: 
 8000 + 37 = 8037
- The simplest form of the fraction is: 
 \frac{8037}{400}
Therefore, the simplest fractional form of 20.0925 is \(\frac{8037}{400}\).