13/x = 17/8

To solve the equation \( \frac{13}{x} = \frac{17}{8} \), we can cross-multiply:

\[ 13 \cdot 8 = 17 \cdot x \]

Now, calculate \( 13 \cdot 8 \):

\[ 13 \cdot 8 = 104 \]

So we have:

\[ 104 = 17x \]

Next, we can solve for \( x \) by dividing both sides by 17:

\[ x = \frac{104}{17} \]

Now, let's simplify \( \frac{104}{17} \):

When we divide 104 by 17, we get:

\[ 104 \div 17 = 6.1176... \] (approximately)

To find the exact fraction, we can express it as:

\[ x = 6 \frac{2}{17} \]

Thus, the solution is:

\[ x = \frac{104}{17} \text{ or } 6 \frac{2}{17} \] (approximately 6.12).