To convert the decimal 0.97 into a fraction, you can follow these steps:
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Write the decimal as a fraction over 1: \[ 0.97 = \frac{0.97}{1} \]
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To eliminate the decimal, multiply both the numerator and the denominator by 100 (since there are two digits after the decimal point): \[ \frac{0.97 \times 100}{1 \times 100} = \frac{97}{100} \]
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Now, we need to check if the fraction \(\frac{97}{100}\) can be simplified. The numerator 97 is a prime number, and it does not divide evenly into 100 (which is \(2^2 \times 5^2\)). Therefore, \(\frac{97}{100}\) is already in its simplest form.
Thus, the decimal 0.97 as a fraction in simplest form is: \[ \frac{97}{100} \]