To convert the decimal \(0.913\) to a fraction, follow these steps:
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Write the decimal as a fraction: \[ 0.913 = \frac{913}{1000} \]
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Simplify the fraction \( \frac{913}{1000} \) if possible. First, we need to find the greatest common divisor (GCD) of 913 and 1000.
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Check if 913 is a prime number. The prime factors are only 1 and 913. The prime factors of 1000 are: \[ 1000 = 10^3 = (2 \times 5)^3 = 2^3 \times 5^3 \]
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Since 913 does not share any factors with 1000 (the only prime factor of 913 is itself), the GCD is 1.
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Since the GCD of 913 and 1000 is 1, the fraction cannot be simplified further.
Thus, the fraction in simplest form is: \[ \frac{913}{1000} \]