Question

Choose the pairs of ratios below that represent equivalent rates. Select all that apply.
1/2 and 3/6
3/4 and 9/20
1/2 and 10/20
1/4 and 5/16

Answer 1

To determine which pairs of ratios are equivalent, we can simplify each ratio and compare:

1. **1/2 and 3/6**:
- 3/6 simplifies to 1/2.
- **Equivalent**.

2. **3/4 and 9/20**:
- 9/20 cannot be simplified to 3/4 (3/4 = 0.75, 9/20 = 0.45).
- **Not equivalent**.

3. **1/2 and 10/20**:
- 10/20 simplifies to 1/2.
- **Equivalent**.

4. **1/4 and 5/16**:
- 5/16 cannot be simplified to 1/4 (1/4 = 0.25, 5/16 = 0.3125).
- **Not equivalent**.

**Equivalent ratios selected**: 1/2 and 3/6; 1/2 and 10/20.