Improper fraction to mixed number conversion:
We are given the following improper fraction
[tex]\frac{97}{35}[/tex](Improper fraction means numerator is greater than the denominator)
To convert the improper fraction to a mixed number, we perform long division
So we have the following results:
Divisor = 35
Quotient = 2
Remainder = 27
The mixed number is written in the following format.
[tex]quotient\frac{remainder}{divisor}[/tex]Therefore, the mixed number is
[tex]2\frac{27}{35}[/tex]