+23254 Let n = 50.8383838383838 ...
Since the number of digits that repeat is two multiply the both sides by 100 and subtract the original equation from the new equation:
100 n = 5083.838383838383 ...
- n = 50.838383838383 ...
------- = ---------------------------
99 n = 5033 (Everything after the decimal point subtracts out.)
--> n = 5033/99
If only one digit repeated, multiply by 10; if three digits repeated, multiply by 1000; etc.
+23254 Let n = 50.8383838383838 ...
Since the number of digits that repeat is two multiply the both sides by 100 and subtract the original equation from the new equation:
100 n = 5083.838383838383 ...
- n = 50.838383838383 ...
------- = ---------------------------
99 n = 5033 (Everything after the decimal point subtracts out.)
--> n = 5033/99
If only one digit repeated, multiply by 10; if three digits repeated, multiply by 1000; etc.
