To solve the expression \( 4.9(86) + \frac{29}{330} \), we will break it down step by step.
Calculate \( 4.9 \times 86 \): \[ 4.9 \times 86 = 421.4 \]
Next, compute \( \frac{29}{330} \): \[ \frac{29}{330} \approx 0.08787878787 \ldots \text{ (repeating)} \]
Now, add the two results together: \[ 421.4 + \frac{29}{330} \approx 421.4 + 0.08787878787 \ldots \approx 421.48787878787 \ldots \]
The final answer is approximately: \[ 421.49 \; (\text{rounded to two decimal places}) \]