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The given mathematical problem is to calculate:

\[
8 \times 2 \frac{7}{12}
\]

### Step 1: Convert the mixed fraction into an improper fraction.
The mixed number \( 2 \frac{7}{12} \) can be converted into an improper fraction as follows:

\[
2 \frac{7}{12} = \frac{(2 \times 12) + 7}{12} = \frac{24 + 7}{12} = \frac{31}{12}
\]

### Step 2: Multiply the improper fraction by 8.
Now, multiply 8 by \( \frac{31}{12} \):

\[
8 \times \frac{31}{12} = \frac{8 \times 31}{12} = \frac{248}{12}
\]

### Step 3: Simplify the fraction.
Now, simplify \( \frac{248}{12} \):

\[
\frac{248}{12} = \frac{62}{3}
\]

### Step 4: Express as a mixed number.
The fraction \( \frac{62}{3} \) can be written as the mixed number:

\[
\frac{62}{3} = 20 \frac{2}{3}
\]

### Final Answer:
The answer is \( 20 \frac{2}{3} \) or \( \frac{62}{3} \) as a simplified fraction.

Would you like more details or clarifications on this? Here are five related questions to deepen your understanding:

1. How do you convert a mixed number to an improper fraction?
2. Why do you multiply the whole number by the denominator when converting mixed numbers?
3. How do you simplify fractions efficiently?
4. Can improper fractions always be simplified to mixed numbers?
5. What is the relationship between improper fractions and division?

**Tip:** Always simplify fractions to their lowest terms for the clearest representation of the answer.

Work out 8 × 2 7/12. Give your answer as a whole number or as a fraction in its simplest form.

Learn how to solve the problem 8 × 2 7/12. The solution covers key mathematical concepts such as converting mixed fractions to improper fractions, multiplication of fractions, and simplification of the final result. Suitable for students in Grades 6-8.

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