Which of the following is greatest?

Rationale

2 fifths is the greatest value among the options provided.

To determine which fraction represents the largest value, it is essential to convert all the choices to a common format. In this case, converting each option to decimal form reveals that 2 fifths (0.4) is greater than the other choices.

A (245 thousandths) YOUR ANSWER

245 thousandths is expressed as 0.245 in decimal form. This value is less than 2 fifths (0.4), making it the smallest option among the choices.

B (24 hundredths) YOUR ANSWER

24 hundredths translates to 0.24 in decimal format. Similar to 245 thousandths, this value is also less than 2 fifths (0.4), confirming that it ranks lower than the correct answer.

C (3 tenths) YOUR ANSWER

3 tenths is equivalent to 0.3 in decimal form. While this value is greater than both 245 thousandths and 24 hundredths, it still falls short of 2 fifths (0.4), which remains the highest value.

D (2 fifths) CORRECT

2 fifths converts to 0.4 in decimal. This value is greater than 0.3 (3 tenths), 0.24 (24 hundredths), and 0.245 (245 thousandths), confirming it as the greatest of all the options.

Conclusion

In summary, by converting each choice into decimal form, it becomes clear that 2 fifths (0.4) is the greatest value among the options provided. The other choices, represented as 0.245, 0.24, and 0.3, are all lesser values, confirming 2 fifths as the correct answer in this comparison.

Which of the following is greatest?

2 fifths is the greatest value among the options provided.

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