To find the weight of each science textbook, you will need to divide the total weight by the number of textbooks.
The total weight of the 5 textbooks is \(6 \frac{2}{3}\) pounds. First, convert \(6 \frac{2}{3}\) to an improper fraction:
\[ 6 \frac{2}{3} = \frac{20}{3} \text{ pounds} \]
Now, divide the total weight by the number of books:
\[ \text{Weight of each book} = \frac{\frac{20}{3}}{5} \]
To divide by 5, you can multiply by the reciprocal of 5, which is \(\frac{1}{5}\):
\[ \text{Weight of each book} = \frac{20}{3} \times \frac{1}{5} = \frac{20}{15} = \frac{4}{3} \]
Thus, each textbook weighs \(\frac{4}{3}\) pounds, which can also be expressed as \(1 \frac{1}{3}\) pounds.