Question

Which lists the ratios in order from least to greatest?
2:9, 1:6, 7:36
2:9, 7:36, 1:6
1:6, 2:9, 7:36
1:6, 7:36, 2:9

Answer 1

To compare the ratios \(2:9\), \(1:6\), and \(7:36\), we can convert them into decimal form or into fractions.

1. **Convert to decimal:**
- \(2:9 = \frac{2}{9} \approx 0.222\)
- \(1:6 = \frac{1}{6} \approx 0.1667\)
- \(7:36 = \frac{7}{36} \approx 0.1944\)

Now, we can order these values from least to greatest:
- \(1:6 \approx 0.1667\)
- \(7:36 \approx 0.1944\)
- \(2:9 \approx 0.222\)

So, the correct order is:
- \(1:6\), \(7:36\), \(2:9\)

Thus, the correct answer is:
**1:6, 7:36, 2:9**.