Jackie studies for $$ 3 \frac{1}{2} $$ hours, runs for $$ 2 \frac{1}{4} $$ hours and washed the dishes for $$ \frac{1}{2} $$ an hour. The total time she spent on these tasks is:

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To find the total time Jackie spent on her tasks, we need to add the three time durations together.

1. Convert the mixed numbers to improper fractions:
   - For $$ 3 \frac{1}{2} $$:
     $$
     3 \frac{1}{2} = \frac{3 \times 2 + 1}{2} = \frac{6 + 1}{2} = \frac{7}{2}
     $$
   - For $$ 2 \frac{1}{4} $$:
     $$
     2 \frac{1}{4} = \frac{2 \times 4 + 1}{4} = \frac{8 + 1}{4} = \frac{9}{4}
     $$
   - For $$ \frac{1}{2} $$, it is already in proper form.

2. Now, we need to add these fractions together:
   $$
   \text{Total time} = \frac{7}{2} + \frac{9}{4} + \frac{1}{2}
   $$

3. To add these fractions, we need a common denominator. The least common multiple of 2 and 4 is 4. We will convert all fractions to have a denominator of 4:
   - Convert $$ \frac{7}{2} $$:
     $$
     \frac{7}{2} = \frac{7 \times 2}{2 \times 2} = \frac{14}{4}
     $$
   - Convert $$ \frac{1}{2} $$:
     $$
     \frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4}
     $$

4. Now we can add the fractions:
   $$
   \text{Total time} = \frac{14}{4} + \frac{9}{4} + \frac{2}{4} = \frac{14 + 9 + 2}{4} = \frac{25}{4}
   $$

5. Convert $$ \frac{25}{4} $$ back to a mixed number:
   $$
   \frac{25}{4} = 6 \frac{1}{4}
   $$

Thus, the total time Jackie spent on these tasks is $$ 6 \frac{1}{4} $$ hours.
Jackie spent a total of $$ 6 \frac{1}{4} $$ hours on her tasks.

Jackie studies for \( 3 \frac{1}{2} \) hours, runs for \( 2 \frac{1}{4} \) hours and washed the dishes for \( \frac{1}{2} \) an hour. The total time she spent on these tasks is:

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