Jasmine is having friends over to watch a football game. She has 2
1
2
 hours until her guests arrive. She spends 
2
5
 of that time cleaning and the rest of the time preparing snacks. How much time does Jasmine spend preparing snacks?

To solve this problem, we first need to determine how much time Jasmine spends cleaning and then subtract that from the total time she has to find out how much time she spends preparing snacks.

### Step 1: Convert the total time into a fraction
Jasmine has \( 2 \frac{1}{2} \) hours until her guests arrive. This mixed number can be converted into an improper fraction:
\[
2 \frac{1}{2} = \frac{5}{2} \text{ hours}
\]

### Step 2: Calculate the time spent cleaning
Jasmine spends \( \frac{2}{5} \) of the total time cleaning. We calculate this by multiplying the total time by \( \frac{2}{5} \):
\[
\text{Time spent cleaning} = \frac{2}{5} \times \frac{5}{2} = \frac{2 \times 5}{5 \times 2} = 1 \text{ hour}
\]

### Step 3: Calculate the time spent preparing snacks
To find out how much time Jasmine spends preparing snacks, subtract the time spent cleaning from the total time:
\[
\text{Time spent preparing snacks} = \frac{5}{2} - 1 = \frac{5}{2} - \frac{2}{2} = \frac{3}{2} \text{ hours}
\]

### Step 4: Convert the time to a mixed number
The time spent preparing snacks is \( \frac{3}{2} \) hours, which can be converted back into a mixed number:
\[
\frac{3}{2} = 1 \frac{1}{2} \text{ hours}
\]

So, Jasmine spends **1 hour and 30 minutes** preparing snacks.

Would you like more details or have any questions about this? 

Here are some related questions to explore:

1. What if Jasmine had 3 hours until her guests arrived? How much time would she spend on snacks then?
2. If Jasmine only spent \( \frac{1}{4} \) of the time cleaning, how much time would that be?
3. How much time would she spend cleaning if she had only 1 hour and 45 minutes before her guests arrive?
4. If Jasmine doubled the time she spent cleaning, how would that affect the time for snacks?
5. What if Jasmine wanted to split her time equally between cleaning and preparing snacks?

**Tip:** When solving word problems involving fractions, it's helpful to first convert all mixed numbers into improper fractions to simplify calculations.

Learn how to calculate the time Jasmine spends preparing snacks. This problem involves fractions and time calculations, specifically determining time spent cleaning and preparing snacks. Suitable for students in Grades 4-6.

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