0.68, 1/12, 1(1/5), 3/5 Which of the following lists the numbers shown in order from least to greatest?

Rationale

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

To arrange the numbers 0.68, 1/12, 1(1/5), and 3/5 from least to greatest, we first convert them to a common format for comparison. After evaluating their decimal equivalents, it becomes clear that 1/12 is the smallest, followed by 3/5, then 0.68, and finally 1(1/5), which is equivalent to 1.2.

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

This sequence incorrectly starts with 1(1/5), which is the largest value in the set, making it an inappropriate choice for the least-to-greatest arrangement.

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

This arrangement correctly lists the numbers in order from least to greatest. First, 1/12 (approximately 0.083) is the smallest, followed by 3/5 (0.6), then 0.68, and finally 1(1/5) (1.2), making it the correct answer.

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

This option places 0.68 before 3/5, which is incorrect since 0.68 (0.68) is greater than 3/5 (0.6). Thus, this sequence does not represent the correct order from least to greatest.

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

This sequence starts with 0.68, which is actually greater than both 1/12 and 3/5. Therefore, it is not a valid arrangement from least to greatest.

Conclusion

The correct ordering of the numbers from least to greatest is 1/12, 3/5, 0.68, and 1(1/5). Understanding the conversion of fractions to decimal forms is essential for accurate comparisons. The incorrect options misplace values based on their numerical sizes, highlighting the importance of careful evaluation in numerical orderings.

0.68, 1/12, 1(1/5), 3/5 Which of the following lists the numbers shown in order from least to greatest?

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

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