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Convert to an improper fraction: [tex]2 \frac{7}{8}[/tex]

Sagot :

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].