To convert the mixed number $10 \frac{3}{4}$ into an improper fraction, follow these steps:

1. Multiply the whole number $10$ by the denominator $4$: $10 \times 4 = 40$

2. Add the result to the numerator $3$: $40 + 3 = 43$

3. Place this sum over the original denominator $4$: $\frac{43}{4}$

So, the improper fraction equivalent of $10 \frac{3}{4}$ is $\frac{43}{4}$.

Would you like more details or have any questions?

Here are some related questions:

1. How do you convert improper fractions back into mixed numbers?
2. What is the decimal equivalent of $\frac{43}{4}$?
3. How do you simplify improper fractions?
4. Can all mixed numbers be converted into improper fractions?
5. How can improper fractions be used in real-life scenarios?

Tip: Always double-check your calculations when converting mixed numbers to improper fractions by reversing the process.