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Solve [tex]$583 \div 6$[/tex].

A. [tex]$97 \frac{1}{6}$[/tex]
B. [tex]$97 \frac{3}{6}$[/tex]
C. [tex]$97 \frac{5}{6}$[/tex]
D. [tex]$97 \frac{16}{6}$[/tex]

Answer :

To solve [tex]\(583 \div 6\)[/tex], we need to divide 583 by 6 and express the answer as a mixed number.

1. Divide 583 by 6:
- First, determine how many times 6 can fit into 583.
- 6 goes into 58 nine times since 6 × 9 = 54. Put 9 above 58 and subtract: 58 - 54 = 4.
- Bring down the next digit, which is 3, making it 43.
- 6 goes into 43 seven times since 6 × 7 = 42. Put 7 above 3 and subtract: 43 - 42 = 1.

2. Determine the quotient and the remainder:
- The quotient is 97 (from the combination of the 9 and the 7).
- The remainder is 1, as 6 cannot fit into the remaining 1.

3. Write the result in mixed number form:
- A mixed number consists of a whole part (the quotient) and a fractional part (the remainder over the divisor).
- Therefore, the result is [tex]\(97 \frac{1}{6}\)[/tex].

Hence, the correct answer is [tex]\(97 \frac{1}{6}\)[/tex].

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