Which of the following fraction is least ?

Options

A. `(28)/(29)`
B. `(58)/(59)`
C. `(34)/(35)`
D. `(98)/(100)`

Answer

To determine which of the given fractions is the least, we will convert each fraction to its decimal form and then compare the decimal values.

### Step-by-Step Solution:

1. **Identify the Fractions:**
The fractions we need to compare are:
- \( \frac{28}{29} \)
- \( \frac{58}{59} \)
- \( \frac{34}{35} \)
- \( \frac{98}{100} \)

2. **Convert Each Fraction to Decimal:**
- For \( \frac{28}{29} \):
\[ 28 \div 29 \approx 0.9655 \]
- For \( \frac{58}{59} \):
\[ 58 \div 59 \approx 0.9830 \]
- For \( \frac{34}{35} \):
\[ 34 \div 35 \approx 0.9714 \]
- For \( \frac{98}{100} \):
\[ 98 \div 100 = 0.98 \]

3. **List the Decimal Values:**
- \( \frac{28}{29} \approx 0.9655 \)
- \( \frac{58}{59} \approx 0.9830 \)
- \( \frac{34}{35} \approx 0.9714 \)
- \( \frac{98}{100} = 0.98 \)

4. **Compare the Decimal Values:**
Now we compare the decimal values:
- \( 0.9655 \) (from \( \frac{28}{29} \))
- \( 0.9830 \) (from \( \frac{58}{59} \))
- \( 0.9714 \) (from \( \frac{34}{35} \))
- \( 0.98 \) (from \( \frac{98}{100} \))

The smallest value is \( 0.9655 \).

5. **Conclusion:**
Therefore, the least fraction among the given options is:
\[ \frac{28}{29} \]