To convert the mixed number [tex]\( 2 \frac{1}{24} \)[/tex] to an improper fraction, follow these steps:
1. Identify the parts of the mixed number:
- Whole number part: [tex]\(2\)[/tex]
- Numerator of the fractional part: [tex]\(1\)[/tex]
- Denominator of the fractional part: [tex]\(24\)[/tex]
2. Convert the whole number part to a fraction with the same denominator:
- Multiply the whole number by the denominator: [tex]\(2 \times 24 = 48\)[/tex]
3. Add the numerator of the fractional part to this product:
- Add [tex]\(48\)[/tex] (from the whole number fraction) to [tex]\(1\)[/tex] (the given numerator): [tex]\(48 + 1 = 49\)[/tex]
4. Write the improper fraction:
- Place the sum over the original denominator: [tex]\(\frac{49}{24}\)[/tex]
Thus, the mixed number [tex]\( 2 \frac{1}{24} \)[/tex] as an improper fraction is [tex]\(\frac{49}{24}\)[/tex].
For the given boxes:
- The first box should contain: [tex]\( 49 \)[/tex]
- The second box should contain: [tex]\( 24 \)[/tex]
- The third box should contain: [tex]\( 49/24 \)[/tex]
Therefore, the final improper fraction is:
[tex]\[ 2 \frac{1}{24} = \frac{49}{24} \][/tex]
