Which of the following is a vulgar fraction? `7/10` `19/100` `3 3/10` `5/8`

Options

A. `7/10`
B. `19/100`
C. `3 3/10`
D. `5/8`

Answer

To determine which of the given options is a vulgar fraction, we first need to understand what a vulgar fraction is. A vulgar fraction is defined as a fraction where the denominator is a whole number that is not a power of ten (like 10, 100, 1000, etc.).

Let's analyze each option step by step:

1. **Option 1: 7/10**
- The denominator is 10, which is a power of ten.
- Therefore, **7/10 is not a vulgar fraction**.

2. **Option 2: 19/100**
- The denominator is 100, which is also a power of ten.
- Therefore, **19/100 is not a vulgar fraction**.

3. **Option 3: 3 3/10**
- This is a mixed number. The fractional part is 3/10.
- The denominator is 10, which is a power of ten.
- Therefore, **3 3/10 is not a vulgar fraction**.

4. **Option 4: 5/8**
- The denominator is 8, which is not a power of ten.
- Therefore, **5/8 is a vulgar fraction**.

After analyzing all the options, we find that the only vulgar fraction among the given options is **5/8**.

### Summary of the Solution:
- **Vulgar fractions** have denominators that are whole numbers other than 10, 100, 1000, etc.
- **7/10**: Not a vulgar fraction (denominator is 10).
- **19/100**: Not a vulgar fraction (denominator is 100).
- **3 3/10**: Not a vulgar fraction (denominator is 10).
- **5/8**: Is a vulgar fraction (denominator is 8).

### Final Answer:
**5/8 is the vulgar fraction.**