To convert the mixed number $7 \frac{3}{8}$ to an improper fraction:

1. Multiply the whole number (7) by the denominator of the fraction (8): $7 \times 8 = 56$

2. Add this result to the numerator of the fraction (3): $56 + 3 = 59$

3. Place this sum over the original denominator (8): $\frac{59}{8}$

So, $7 \frac{3}{8}$ as an improper fraction is: $\frac{59}{8}$

Would you like more details, or do you have any questions?

Here are 5 related questions for further exploration:

1. How do you convert improper fractions back into mixed numbers?
2. What are the steps to simplify improper fractions?
3. Can improper fractions be converted to decimal form?
4. How would you multiply two mixed numbers?
5. How do improper fractions compare to regular fractions?

Tip: When converting a mixed number to an improper fraction, always multiply the whole number by the denominator first and then add the numerator.