To find the product of \( \frac{5}{6} \) and \( 11 \), we can multiply the fraction by the whole number:
\[ \frac{5}{6} \times 11 = \frac{5 \times 11}{6} = \frac{55}{6} \]
Now, we need to check if \( \frac{55}{6} \) is in its simplest form. The numerator \( 55 \) and the denominator \( 6 \) have no common factors other than \( 1 \), so \( \frac{55}{6} \) is indeed in simplest form.
Next, we determine if the result is rational or irrational. A number is rational if it can be expressed as the quotient of two integers. Since \( \frac{55}{6} \) is expressed as a fraction of two integers, it is a rational number.
Thus, the final answer is:
The product is \( \frac{55}{6} \), and it is rational.
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