9514 1404 393
Answer:
2 3/22
Explanation:
Multiply by 100.
213.6363...
Subtract the original.
213.6363... -2.1363... = 211.5
Divide this by 99.
211.5/99 = 2115/990 = 2 135/990 = 2 3/22
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The original number you multiply by is 10^n, where n is the number of repeating digits. Then the number you divide by is (10^n -1). Here, those values are 100 and 99, because there are 2 repeating digits.