Question

What is the fractional equivalent of 2.125
2 1/6
1 2/8
2 1/8
2 3/8

Answer 1

To convert the mixed numbers to fractional equivalents:

1. **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. **2 1/6**:
- This can be expressed as \( 2 + \frac{1}{6} \).
- Converting: \( 2 = \frac{12}{6} \), so \( 2 1/6 = \frac{12}{6} + \frac{1}{6} = \frac{13}{6} \).

3. **1 2/8**:
- This can be expressed as \( 1 + \frac{2}{8} \).
- Simplifying \( \frac{2}{8} \) gives \( \frac{1}{4} \), so \( 1 2/8 = 1 + \frac{1}{4} = \frac{4}{4} + \frac{1}{4} = \frac{5}{4} \).

4. **2 1/8**:
- This can be expressed as \( 2 + \frac{1}{8} \).
- Converting: \( 2 = \frac{16}{8} \), so \( 2 1/8 = \frac{16}{8} + \frac{1}{8} = \frac{17}{8} \).

5. **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 **\(\frac{17}{8}\)**.