Question

Select all ratios equivalent to 8:18.
7:12
24:54
1:2

Answer 1

To determine which ratios are equivalent to 8:18, we can simplify 8:18 and compare the other ratios.

1. **Simplifying 8:18**:
- The greatest common divisor (GCD) of 8 and 18 is 2.
- Divide both numerator and denominator by 2:
\[
\frac{8}{2}:\frac{18}{2} = 4:9
\]
- So, 8:18 simplifies to 4:9.

Now, we will check the other ratios by simplifying them as well:

2. **Checking 7:12**:
- This cannot be simplified further.
- 7:12 ≠ 4:9.

3. **Checking 24:54**:
- The GCD of 24 and 54 is 6.
- Divide both by 6:
\[
\frac{24}{6}:\frac{54}{6} = 4:9
\]
- So, 24:54 is equivalent to 4:9, and thus equivalent to 8:18.

4. **Checking 1:2**:
- This cannot be simplified further.
- 1:2 ≠ 4:9.

**Conclusion**:
The only ratio equivalent to 8:18 from the provided options is **24:54**.