Let's express the following fractions as decimals using long division, rounding to the nearest hundredth if necessary.

1. $\frac{3}{9}$

• Step 1: Divide 3 by 9.
• Step 2: 9 goes into 3 zero times, so we add a decimal point and a zero after the 3 to make it 30.
• Step 3: 9 goes into 30 three times (9 * 3 = 27).
• Step 4: Subtract 27 from 30, leaving a remainder of 3.
• Step 5: Bring down another zero to make it 30, and the process repeats.

So, $\frac{3}{9} = 0.333\ldots$ which rounds to 0.33.

2. $\frac{234}{111}$

• Step 1: Divide 234 by 111.
• Step 2: 111 goes into 234 two times (111 * 2 = 222).
• Step 3: Subtract 222 from 234, leaving a remainder of 12.
• Step 4: Bring down a zero to make it 120.
• Step 5: 111 goes into 120 one time (111 * 1 = 111).
• Step 6: Subtract 111 from 120, leaving a remainder of 9.

So, $\frac{234}{111} \approx 2.108\ldots$ which rounds to 2.11.

3. $\frac{11}{15}$

• Step 1: Divide 11 by 15.
• Step 2: 15 goes into 11 zero times, so we add a decimal point and a zero after the 11 to make it 110.
• Step 3: 15 goes into 110 seven times (15 * 7 = 105).
• **Step