Which of the following is in ascending order
A. 2/3, 3/4, 4/5, 1/2
B. 3/4, 4/5, 1/2, 2/3
C. 1/2, 2/3, 3/4, 4/5
D. 4/5, 1/2, 2/3, 3/4

Options

A. A
B. D
C. B
D. C

Answer

To determine which of the given sets of fractions is in ascending order, we need to compare the fractions: \( \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{1}{2} \).

### Step-by-Step Solution

1. **Convert each fraction to a decimal**: This will make it easier to compare them.
- \( \frac{1}{2} = 0.5 \)
- \( \frac{2}{3} \approx 0.6667 \)
- \( \frac{3}{4} = 0.75 \)
- \( \frac{4}{5} = 0.8 \)

2. **List the decimal values**:
- \( \frac{1}{2} = 0.5 \)
- \( \frac{2}{3} \approx 0.6667 \)
- \( \frac{3}{4} = 0.75 \)
- \( \frac{4}{5} = 0.8 \)

3. **Order the decimal values from smallest to largest**:
- The smallest value is \( 0.5 \) (which corresponds to \( \frac{1}{2} \)).
- The next value is approximately \( 0.6667 \) (which corresponds to \( \frac{2}{3} \)).
- Next is \( 0.75 \) (which corresponds to \( \frac{3}{4} \)).
- The largest value is \( 0.8 \) (which corresponds to \( \frac{4}{5} \)).

4. **Write the fractions in ascending order**:
- \( \frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5} \)

5. **Identify the correct option**:
- The correct option that lists these fractions in ascending order is **C: \( \frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5} \)**.