7. The floor of a rectangular room is to be tiled with $$ \frac{1}{3} $$ foot square tiles along a $$ 9 \frac{3}{8} $$ foot wall. How many tiles will be needed along the wall?

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We are given tiles that are $$ \frac{1}{3} $$ foot on each side and a wall that is $$ 9 \frac{3}{8} $$ feet long along one edge.

1. First, convert the wall length to an improper fraction:
   $$
   9 \frac{3}{8} = \frac{9 \times 8 + 3}{8} = \frac{72 + 3}{8} = \frac{75}{8} \text{ feet.}
   $$

2. The number of tiles needed is given by dividing the wall length by the side length of one tile:
   $$
   \text{Number of tiles} = \frac{\frac{75}{8}}{\frac{1}{3}}.
   $$

3. Dividing by a fraction is equivalent to multiplying by its reciprocal:
   $$
   \frac{75}{8} \div \frac{1}{3} = \frac{75}{8} \times 3 = \frac{225}{8}.
   $$

4. Converting $$\frac{225}{8}$$ to a mixed number:
   $$
   \frac{225}{8} = 28 \frac{1}{8}.
   $$

Since you cannot place a fraction of a tile along the wall, you must round up to the next whole number. Therefore, the number of tiles needed along the wall is:
$$
29.
$$
29 tiles are needed along the wall.

The floor of a rectangular room is to be tiled with
foot square tiles along a foot wall. How many
tiles will be needed along the wall?

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The floor of a rectangular room is to be tiled with foot square tiles along a foot wall. How many tiles will be needed along the wall?