Question
Which of the following represents the given decimal as a fraction in simplest form 0.97
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To convert the decimal 0.97 into a fraction, you can follow these steps:
1. Write the decimal as a fraction over 1:
\[
0.97 = \frac{0.97}{1}
\]
2. To eliminate the decimal, multiply both the numerator and the denominator by 100 (since there are two digits after the decimal point):
\[
\frac{0.97 \times 100}{1 \times 100} = \frac{97}{100}
\]
3. 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:
\[
\frac{97}{100}
\]
1. Write the decimal as a fraction over 1:
\[
0.97 = \frac{0.97}{1}
\]
2. To eliminate the decimal, multiply both the numerator and the denominator by 100 (since there are two digits after the decimal point):
\[
\frac{0.97 \times 100}{1 \times 100} = \frac{97}{100}
\]
3. 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:
\[
\frac{97}{100}
\]
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.