If Heidi can paint a wall in 45 minutes, what fractional part of the wall can she paint in 9 minutes?
Since $9$ minutes is $1/5$ of $45$ minutes, we can find the fractional part of a wall that Heidi can paint in $9$ minutes by dividing the amount of wall that Heidi can paint in $45$ minutes by $5$. Since Heidi can paint a whole wall in $45$ minutes, it follows that she can paint $\boxed{\frac{1}{5}}$ of a wall in $9$ minutes.
\frac{1}{5}
Level 1
Algebra
Problem: If Heidi can paint a wall in 45 minutes, what fractional part of the wall can she paint in 9 minutes?
Solution:<|START_OF_LATENT|><|PRIOR_PREFIX|>To determine the fractional part of the wall that Heidi can paint in 9 minutes, we first need to understand her painting rate. If Heidi can paint the entire wall in 45 minutes, we can calculate her rate of painting as follows:

1. Calculate the rate of painting: 
   Rate = 1 wall / 45 minutes = 1/45 walls per minute.

2. Next, we need to find out how much of the wall she can paint in 9 minutes. We do this by multiplying her painting rate by the time she spends painting:
   Amount painted in 9 minutes = Rate × Time = (1/45 walls per minute) × 9 minutes.

3. Perform the multiplication:
   Amount painted in 9 minutes = 9/45 walls.

4. Simplify the fraction:
   9/45 = 1/5.

Thus, the fractional part of the wall that Heidi can paint in 9 minutes is 1/5.<|END_OF_LATENT|> The final answer is $\frac{1}{5}$.