Write \( \frac{43}{12} \) as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

To convert \( \frac{43}{12} \) into a decimal, you can perform long division. When you divide 43 by 12, you find that 12 goes into 43 three times (as \( 3 \times 12 = 36 \)). Subtract 36 from 43 to get a remainder of 7. Next, bring down a zero to make it 70, and divide again. 12 goes into 70 five times (as \( 5 \times 12 = 60 \)). Subtract again to get a remainder of 10. Bring down another zero to get 100, and 12 goes into 100 eight times (as \( 8 \times 12 = 96 \)). Now, subtract to get a remainder of 4. Bringing down another zero gives you 40, and 12 goes into 40 three times (as \( 3 \times 12 = 36 \)). Now subtract to get a remainder of 4 again, which shows we are repeating the 3’s. So, the decimal representation is \( 3.5833\ldots \), where the digit 3 repeats. You can express that as \( 3.58\overline{3} \).