To solve the problem \( \frac{5}{8} \div \frac{3}{8} \), we can multiply by the reciprocal of the second fraction:
\[ \frac{5}{8} \div \frac{3}{8} = \frac{5}{8} \times \frac{8}{3} \]
Now, we can simplify the multiplication:
\[ = \frac{5 \cdot 8}{8 \cdot 3} \]
Here, the \( 8 \)s in the numerator and the denominator cancel out:
\[ = \frac{5}{3} \]
Now, we need to represent \( \frac{5}{3} \) in the form \( a \frac{b}{c} \).
Since \( 5 \) divided by \( 3 \) equals \( 1 \) with a remainder of \( 2 \), we can express \( \frac{5}{3} \) as:
\[ 1 \frac{2}{3} \]
This means \( a = 1 \), \( b = 2 \), and \( c = 3 \).
Hence, the answer in simplest form is:
\[ a = 1, b = 2, c = 3 \]
Therefore, the correct values of \( a, b, \) and \( c \) are \( 1, 2, 3 \).
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