X : 0,8(3) =0, 75 : 0,41(7)

To solve the equation \( x : 0.8(3) = 0.75 : 0.41(7) \), let's first clarify the notation: 1. \( 0.8(3) \) means \( 0.833... \) which is \( \frac{5}{6} \) or approximately 0.833. 2. \( 0.41(7) \) means \( 0.41777... \) which is \( \frac{5}{12} \) or approximately 0.417. Now, rewriting the equation with clearer terms gives us: \[ \frac{x}{0.8(3)} = \frac{0.75}{0.41(7)} \] This simplifies to: \[ \frac{x}{0.833} = \frac{0.75}{0.417} \] Next, we can calculate the right side: \[ \frac{0.75}{0.417} \approx 1.794 \] Now, we can rewrite the equation: \[ x \approx 0.833 \times 1.794 \] Calculating this gives us: \[ x \approx 1.495 \] Thus, the approximate solution for \( x \) is: \[ x \approx 1.495 \] Let me know if you need further assistance or clarification!