Which lists the ratios in order from least to greatest?

Question

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.