To convert a mixed number to an improper fraction, here's the correct step-by-step process:
1. Identify the parts of the mixed number:
- A mixed number consists of a whole number and a fractional part. For example, in the mixed number [tex]\(2 \frac{3}{4}\)[/tex], 2 is the whole number, 3 is the numerator, and 4 is the denominator.
2. Multiply the whole number by the denominator:
- In our example, multiply the whole number 2 by the denominator 4: [tex]\(2 \times 4 = 8\)[/tex].
3. Add the numerator to this product:
- Add the result of the multiplication (8) to the numerator (3): [tex]\(8 + 3 = 11\)[/tex].
4. Write the result as the new numerator:
- The denominator remains the same. So, the improper fraction is [tex]\(\frac{11}{4}\)[/tex].
To summarize, the correct first step to convert a mixed number to an improper fraction is:
multiply the whole number by the denominator and add the numerator
Therefore, the correct answer is:
- multiply the whole number by the denominator and add the numerator.
