This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
Here's how to convert the fractions to mixed numbers:
a)
Step 1: Divide the numerator (8) by the denominator (3). The whole number part is 2. The remainder is 2. The original denominator is 3.
Step 2: Write the mixed number using the whole number, remainder, and original denominator. The mixed number is \boxed{2\frac{2{3}}}.
b)
Step 1: Compare the numerator (5) and the denominator (7). Since the numerator (5) is less than the denominator (7), this is a proper fraction.
Step 2: Explain why it cannot be converted to a mixed number with a non-zero whole part. Proper fractions cannot be converted into a mixed number with a whole number part greater than zero. It is already in its simplest fractional form. The fraction is \boxed{\frac{5{7}}}.
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Here's how to convert the fractions to mixed numbers: a) (8)/(3) Step 1: Divide the numerator (8) by the denominator (3).
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.