To find the correct answer for the expression $\frac{2}{3} \div \frac{5}{3}$, you should perform division of fractions.

Steps to Solve:

1. Write the division of fractions:
   $\frac{2}{3} \div \frac{5}{4}$

2. Multiply by the reciprocal of the second fraction:
   When dividing by a fraction, you multiply by its reciprocal (flip the second fraction): $\frac{2}{3} \times \frac{4}{5}$

3. Multiply the numerators together and the denominators together: $\text{Numerator: } 2 \times 4 = 8$ $\text{Denominator: } 3 \times 5 = 15$

4. Final Result: $\frac{8}{15}$

So, the correct operation to find the result is multiplication of $\frac{2}{3}$ by the reciprocal of $\frac{5}{4}$, which gives $\frac{8}{15}$.

Would you like further explanation or have any other questions?

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Related Questions:

1. What is the reciprocal of a fraction, and how do you find it?
2. How do you simplify the result if the numerator and denominator have a common factor?
3. Can you perform the operation with mixed numbers instead of fractions?
4. How does dividing fractions relate to multiplying by the reciprocal?
5. How would you solve this if one of the fractions was negative?
6. What is the process for multiplying more than two fractions?
7. How does this operation change if the fractions are improper?
8. Can you solve the division problem by converting the fractions to decimals first?

Tip: Always remember to multiply by the reciprocal when dividing fractions, as it simplifies the calculation process.