Question 38

1/12, 3/5, 0.68, 1(1/5) is the correct order from least to greatest.

To arrange the numbers 0.68, 1/12, 1(1/5), and 3/5 in order from least to greatest, we first convert all values to a common format. After comparison, the correct order is established as 1/12, 3/5, 0.68, and 1(1/5).

A) 1(1/5), 0.68, 3/5, 1/12

This option incorrectly lists 1(1/5) as the smallest number, which is inaccurate. When converted, 1(1/5) equals 1.2, which is greater than the other values. Thus, this order does not reflect the correct ranking from least to greatest.

B) 1/12, 3/5, 0.68, 1(1/5)

This option is correct as it places 1/12 first, followed by 3/5, then 0.68, and finally 1(1/5). Each number is accurately assessed, with 1/12 being the smallest at approximately 0.0833, followed by the others in increasing value.

C) 1/12, 0.68, 3/5, 1(1/5)

While this option begins with 1/12 correctly, it mistakenly places 0.68 before 3/5. Since 3/5 equals 0.6, which is greater than 0.68, this sequence fails to represent the correct order.

D) 0.68, 1/12, 3/5, 1(1/5)

This option starts with 0.68 as the smallest number, which is incorrect. As previously established, 1/12 is smaller than 0.68, making this option inaccurate and failing to reflect the proper order.

Conclusion

The correct order from least to greatest is represented by option B, which accurately ranks the numbers after careful comparison. All other options either misplace the values or incorrectly assess their relative sizes, demonstrating a failure to achieve the correct sequence. Thus, option B is the definitive correct answer.