Let's find the correct mixed number representation for the division of \( 85 \) by \( 9 \).
The division can be expressed as:
[tex]\[ 85 \div 9 = 9 \, \text{R} \, 4 \][/tex]
Here:
- The quotient is \( 9 \)
- The remainder is \( 4 \)
- The divisor is \( 9 \)
To express this as a mixed number, we use the following format:
[tex]\[ \text{Quotient} \frac{\text{Remainder}}{\text{Divisor}} \][/tex]
So, the mixed number representation will be:
[tex]\[ 9 \frac{4}{9} \][/tex]
Now, let's review the provided options to see which one matches our mixed number representation:
A. \( 9 \frac{4}{85} \)
B. \( 4 \frac{9}{-85} \)
C. \( 4 \)
D. \( 9 \frac{4}{9} \)
The correct mixed number representation is:
[tex]\[ 9 \frac{4}{9} \][/tex]
Therefore, the answer is:
D. [tex]\( 9 \frac{4}{9} \)[/tex]
