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Choose the correct mixed number for the quotient.

[tex]\[ 85 \div 9 \][/tex]

A. \( 9 \frac{4}{9} \)
B. \( 4 \frac{9}{-9} \)
C. \( 4 \)
D. [tex]\( 9 \frac{-4}{9} \)[/tex]

Sagot :

GinnyAnswer
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]
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