Answer:
6.515 < 6 11/20 < 6.56 < 53/8
Explanation:
You want the sorted order of 6.56, 6.515, 6 11/20, 53/8.
Decimals
The decimal value of the mixed number is ...
6 11/20 = 6 (5·11)/(5·20) = 6 55/100 = 6.55
The decimal value of the improper fraction is ...
53/8 = 6 +5/8 = 6.625
Comparison
All of the numbers have 6 as their most-significant digit, so we need to compare 10th digits. The highest number has 6 as a 10th digit, so 6.625 will be last on the list
Comparing hundredths digits, we have 6, 1, and 5, so the first of these will be last among this group. The least-to-greatest order is ...
6.515 < 6.55 < 6.56 < 6.625
Using the original numbers, this ordering is ...
6.515 < 6 11/20 < 6.56 < 53/8