To convert the mixed numbers to fractional equivalents:
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2.125:
- This is equivalent to \( 2 + 0.125 \).
- \( 0.125 \) can be expressed as \( \frac{125}{1000} \), which simplifies to \( \frac{1}{8} \).
- Thus, \( 2.125 = 2 + \frac{1}{8} = \frac{16}{8} + \frac{1}{8} = \frac{17}{8} \).
-
2 1/6:
- This can be expressed as \( 2 + \frac{1}{6} \).
- Converting: \( 2 = \frac{12}{6} \), so \( 2 1/6 = \frac{12}{6} + \frac{1}{6} = \frac{13}{6} \).
-
1 2/8:
- This can be expressed as \( 1 + \frac{2}{8} \).
- Simplifying \( \frac{2}{8} \) gives \( \frac{1}{4} \), so \( 1 2/8 = 1 + \frac{1}{4} = \frac{4}{4} + \frac{1}{4} = \frac{5}{4} \).
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2 1/8:
- This can be expressed as \( 2 + \frac{1}{8} \).
- Converting: \( 2 = \frac{16}{8} \), so \( 2 1/8 = \frac{16}{8} + \frac{1}{8} = \frac{17}{8} \).
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2 3/8:
- This can be expressed as \( 2 + \frac{3}{8} \).
- Converting: \( 2 = \frac{16}{8} \), so \( 2 3/8 = \frac{16}{8} + \frac{3}{8} = \frac{19}{8} \).
Now, comparing the mixed numbers and their fractional equivalents:
- 2.125 = \frac{17}{8}
- 2 1/6 = \frac{13}{6}
- 1 2/8 = \frac{5}{4}
- 2 1/8 = \frac{17}{8}
- 2 3/8 = \frac{19}{8}
Thus, the fractional equivalent of 2.125 and 2 1/8 is \(\frac{17}{8}\).
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