The given problem asks to write $-7 \frac{1}{3}$ as a fraction.

To convert a mixed number like $-7 \frac{1}{3}$ into an improper fraction:

1. Multiply the whole number part by the denominator: $7 \times 3 = 21$
2. Add the numerator of the fractional part: $21 + 1 = 22$
3. Since the original number is negative, the improper fraction is $- \frac{22}{3}$.

Thus, $-7 \frac{1}{3}$ as a fraction is $- \frac{22}{3}$, so the correct answer would be the first option.

Would you like more details or have any other questions?

Here are 5 related questions:

1. How do you convert improper fractions back into mixed numbers?
2. How do you handle negative numbers when converting mixed numbers to improper fractions?
3. What are the common mistakes when converting mixed numbers to improper fractions?
4. Can you solve for $x$ if $x + \frac{22}{3} = 0$?
5. How do you add and subtract mixed numbers?

Tip: Always keep the sign in mind when working with negative mixed numbers.