Question

Select all ratios equivalent to 2:6.
20:60
3:9
24:8

Answer 1

To determine which ratios are equivalent to 2:6, we can simplify 2:6 and check if the other ratios simplify to the same value.

1. **Simplifying 2:6**:
Divide both terms by 2:
\( \frac{2}{2} : \frac{6}{2} = 1:3 \)

2. Now, let's simplify the given ratios one by one:

- **20:60**:
Divide both terms by 20:
\( \frac{20}{20} : \frac{60}{20} = 1:3 \)

- **3:9**:
Divide both terms by 3:
\( \frac{3}{3} : \frac{9}{3} = 1:3 \)

- **24:8**:
Divide both terms by 8:
\( \frac{24}{8} : \frac{8}{8} = 3:1 \)

3. Now we compare the simplified ratios:
- 2:6 simplifies to 1:3
- 20:60 simplifies to 1:3
- 3:9 simplifies to 1:3
- 24:8 simplifies to 3:1

Thus, the ratios equivalent to 2:6 are **20:60 and 3:9**.