Paloma ran 33

To find out how many laps Paloma ran around the school track, we need to divide the total distance she ran by the distance of one lap.

In this case, Paloma ran \( 33 \frac{4}{10} \) miles. We first need to convert this mixed number into an improper fraction or a decimal for easier calculation.

To convert \( 33 \frac{4}{10} \) into a decimal, we do the following:

1. Convert \( \frac{4}{10} \) to a decimal:
\[
\frac{4}{10} = 0.4
\]

2. Now, add this to 33:
\[
33 + 0.4 = 33.4
\]

Now we have the total distance in a decimal form:
\[
33.4 \text{ miles}
\]

Next, we know that each lap is \( \frac{1}{2} \) mile. To find out how many laps she ran, we divide the total distance by the distance of one lap:

\[
\text{Number of laps} = \frac{\text{Total distance}}{\text{Distance per lap}}
\]

So, we perform the division:

\[
\text{Number of laps} = \frac{33.4}{0.5}
\]

When dividing by \( 0.5 \), it is the same as multiplying by \( 2 \):

\[
\frac{33.4}{0.5} = 33.4 \times 2 = 66.8
\]

Therefore, Paloma ran approximately \( 66.8 \) laps. Depending on the context of the question (such as if the answer needs to be a whole number), you may round down to \( 66 \) whole laps or note that she completed \( 66 \) laps and was partway through the next lap.

So, the final answer is that Paloma ran **66 laps and approximately 0.8 of a lap** more.

**Summary:**
1. Convert the mixed number to decimal (33.4 miles).
2. Divide the total distance by the distance of one lap (1/2 mile).
3. Find the answer (66.8 laps).