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The question here is to convert the mixed number \(1 \frac{3}{4}\) into an improper fraction.

To do this, follow these steps:

1. Multiply the whole number (1) by the denominator of the fraction (4).
   \[
   1 \times 4 = 4
   \]
2. Add this result to the numerator of the fraction (3).
   \[
   4 + 3 = 7
   \]
3. Place this sum over the original denominator (4), resulting in the improper fraction:
   \[
   \frac{7}{4}
   \]

So, \(1 \frac{3}{4}\) as an improper fraction is \(\frac{7}{4}\).

Would you like more details or have any questions?

Here are five related questions to deepen your understanding:

1. How can we convert other mixed numbers, like \(2 \frac{1}{2}\), into improper fractions?
2. What is the process to go from an improper fraction back to a mixed number?
3. Why do we multiply the whole number by the denominator when converting to an improper fraction?
4. How can improper fractions help in operations like addition and subtraction of mixed numbers?
5. Can improper fractions be simplified further, and if so, how?

**Tip:** Converting mixed numbers to improper fractions can simplify calculations in arithmetic operations, especially in addition, subtraction, and multiplication.

Convert the mixed number 1 3/4 into an improper fraction.

Learn how to convert the mixed number 1 3/4 into an improper fraction. This problem demonstrates the conversion process by multiplying the whole number by the denominator and adding the numerator. Suitable for students in Grades 4-6.

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