To convert the mixed number [tex]\( 2 \frac{7}{8} \)[/tex] to an improper fraction, follow these steps:
1. Identify the whole number and the fraction part of the mixed number:
- Whole number: 2
- Fraction: [tex]\( \frac{7}{8} \)[/tex]
2. Convert the whole number to a fraction with the same denominator as the fraction part:
- The denominator of the fraction part is 8.
- Converting the whole number 2 to a fraction with a denominator of 8, we get:
[tex]\[
2 = \frac{2 \times 8}{8} = \frac{16}{8}
\][/tex]
3. Add the converted whole number to the fraction part:
- Whole number as a fraction: [tex]\( \frac{16}{8} \)[/tex]
- Fraction part: [tex]\( \frac{7}{8} \)[/tex]
Adding these two fractions together:
[tex]\[
\frac{16}{8} + \frac{7}{8} = \frac{16 + 7}{8} = \frac{23}{8}
\][/tex]
Therefore, the mixed number [tex]\( 2 \frac{7}{8} \)[/tex] as an improper fraction is [tex]\( \frac{23}{8} \)[/tex].
