Answer:
2/5, 0.42 (repeating), 3/7, 43%
Explanation:
You want a sorted list of the values 43%, 2/5, 3/7, 0.42 repeating.
Comparing values
It is easiest to compare numbers when they are written in the same form. The form used should represent the value sufficiently well that comparisons can be made accurately.
Here, we can write each number using 3 decimal digits. The attached calculator output shows the values rounded to 3 decimal digits.
Ascending order
The numbers in ascending order are ...
2/5, 0.42 (repeating), 3/7, 43%
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Additional comment
Since the number "0.42 repeating" does not show what is being repeated, we have assumed that the 2 is the only digit being repeated (0.42_2). If both digits are being repeated (0.42_42), the place of the number on the list does not change.
We could write all of the numbers using a common denominator. Then the original order is ...
2709/6300, 2520/6300, 2700/6300, 2660/6300
Then the numerators in ascending order are 2520, 2660, 2700, 2709, matching the order shown above.