First, we need to determine how much strawberry jam Spencer made. He filled 2 jars with strawberry jam.
Next, we calculate how much raspberry jam he made. Since he made \(4 \frac{1}{3}\) times as much raspberry jam as strawberry jam, we first convert \(4 \frac{1}{3}\) to an improper fraction.
To convert \(4 \frac{1}{3}\): \[ 4 \frac{1}{3} = \frac{4 \times 3 + 1}{3} = \frac{12 + 1}{3} = \frac{13}{3} \]
Now, we calculate the amount of raspberry jam: \[ \text{Amount of raspberry jam} = \frac{13}{3} \times 2 \text{ jars} = \frac{13 \times 2}{3} = \frac{26}{3} \text{ jars} \]
Finally, we need to express \(\frac{26}{3}\) as a mixed number. To convert \(\frac{26}{3}\) to a mixed number:
- Divide \(26\) by \(3\):
- \(26 \div 3 = 8\) with a remainder of \(2\).
- Thus, we have:
- \(8\) whole parts and a remainder of \(2\).
Combining this, we get: \[ \frac{26}{3} = 8 \frac{2}{3} \]
Thus, the raspberry jam will fill: \[ \boxed{8 \frac{2}{3}} \text{ jars.} \]