Here is a cool trick. It's kind of confusing so sorry if this is hard to understand.
Take all the significant figures and subtract them by the non-repeating digits (don't include decimals).
14583 - 1458 = 13125
Now count the number of digits in the result and subtract by the number of digits in the decimal that are before the decimal point. 1.4583̅ has one digit so 5-1 = 4.
Now we want a number that starts with 9 and the rest is zeros. It should be 4 digits long because of the prior calculation. So 9000.
Then divide the result by 9000.
13125 / 9000 = 1.4583̅
Then the fraction can be reduced.
35/24 is the answer.
