Sure! Let's change the given mixed number to an improper fraction and identify the correct option from the provided choices.
We are given the mixed number [tex]\( \frac{971}{10} \)[/tex].
In this case, the mixed number [tex]\( \frac{971}{10} \)[/tex] already appears to be in the form of an improper fraction. We can simplify or verify that:
[tex]\[ \frac{971}{10} = 97.1 \][/tex]
Among the given options:
a. [tex]\( \frac{65}{10} \)[/tex] simplifies to 6.5, which is not equivalent to 97.1.
b. [tex]\( \frac{970}{10} \)[/tex] simplifies to 97.0, which is not exactly equal to 97.1.
c. [tex]\( \frac{971}{10} \)[/tex] simplifies exactly to 97.1, matching the conversion we have.
d. [tex]\( \frac{98}{10} \)[/tex] simplifies to 9.8, which is not equivalent to 97.1.
Thus, the correct answer is:
[tex]\[ \boxed{\frac{971}{10}} \][/tex]
