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).