Certainly! Let's convert the mixed number \(2 \frac{3}{4}\) to an improper fraction. Here are the steps:
1. Identify the whole number and the fractional part:
- The whole number is \(2\).
- The fractional part is \(\frac{3}{4}\).
2. Understand the structure of a mixed number:
- A mixed number consists of a whole number and a fraction.
3. Convert the mixed number to an improper fraction:
- The denominator remains the same: \(4\).
- To find the new numerator of the improper fraction, use this formula:
[tex]\[
\text{improper numerator} = (\text{whole number} \times \text{denominator}) + \text{numerator}
\][/tex]
4. Calculate the improper numerator:
- Multiply the whole number by the denominator:
[tex]\[
2 \times 4 = 8
\][/tex]
- Add the numerator from the fractional part:
[tex]\[
8 + 3 = 11
\][/tex]
5. Form the improper fraction:
- The numerator of the improper fraction is \(11\), and the denominator remains \(4\).
6. Conclusion:
- Therefore, the mixed number \(2 \frac{3}{4}\) written as an improper fraction is \(\frac{11}{4}\).
In summary:
[tex]\[ 2 \frac{3}{4} = \frac{11}{4} \][/tex]
There you go! The improper fraction form of [tex]\(2 \frac{3}{4}\)[/tex] is [tex]\(\frac{11}{4}\)[/tex].
