Question

Select all ratios equivalent to 4:7.
1:2
32:56
55:84

Answer 1

To find ratios equivalent to 4:7, we can simplify each of the given ratios and see if they can be expressed in the same form as 4:7.

1. **Ratio 1:2**
- To check if it's equivalent to 4:7, we can cross-multiply:
4 * 2 = 8
7 * 1 = 7
Since 8 ≠ 7, 1:2 is not equivalent to 4:7.

2. **Ratio 32:56**
- Let's simplify this ratio:
Divide both sides by 8:
32 ÷ 8 = 4
56 ÷ 8 = 7
This simplifies to 4:7, indicating that 32:56 is equivalent to 4:7.

3. **Ratio 55:84**
- Again, we can cross-multiply to check:
4 * 84 = 336
7 * 55 = 385
Since 336 ≠ 385, 55:84 is not equivalent to 4:7.

In conclusion, the only ratio equivalent to 4:7 from your options is **32:56**.