Question

Select all ratios equivalent to 2:3.
5:1
16:24
14:21

Answer 1

To determine which ratios are equivalent to 2:3, we can simplify the given ratios and see if they equal 2:3.

1. **5:1**: This ratio is not equivalent to 2:3 as it cannot be simplified to 2:3.

2. **16:24**: To simplify this ratio, divide both terms by their greatest common divisor (GCD), which is 8:
\[
16 ÷ 8 = 2, \quad 24 ÷ 8 = 3
\]
So, 16:24 simplifies to 2:3, meaning it is equivalent to 2:3.

3. **14:21**: To simplify this ratio, divide both terms by their GCD, which is 7:
\[
14 ÷ 7 = 2, \quad 21 ÷ 7 = 3
\]
So, 14:21 simplifies to 2:3, meaning it is equivalent to 2:3.

**Conclusion:**
The ratios equivalent to 2:3 are:
- 16:24
- 14:21