+129840 Disregard the whole number for a moment....we can always express a repeating decimal as a fraction thusly:
Write the non-repeating part and repeating part without the decimal ...here, we'll consider it to be 133 (we could make the repeating part any length, actually)
Subtract the non-repeating part .....133 - 1 = 132
Put this result over a number that has the number of leading "9s" = the number of repeated digits and the same number of trailing 0s = the number of non-repeating digit(s). So we have 2 repeated digits and one non-repeating digit, so our number is 990...and we have...
[133 -1] / 990 = 132/990 .......check for yourself that this gives us .1333333 etc.
So, apppending the whole number "2," we have .... 2 + 132/990
Note......you could turn this into an improper fraction if you're so inclined !!!
+129840 Disregard the whole number for a moment....we can always express a repeating decimal as a fraction thusly:
Write the non-repeating part and repeating part without the decimal ...here, we'll consider it to be 133 (we could make the repeating part any length, actually)
Subtract the non-repeating part .....133 - 1 = 132
Put this result over a number that has the number of leading "9s" = the number of repeated digits and the same number of trailing 0s = the number of non-repeating digit(s). So we have 2 repeated digits and one non-repeating digit, so our number is 990...and we have...
[133 -1] / 990 = 132/990 .......check for yourself that this gives us .1333333 etc.
So, apppending the whole number "2," we have .... 2 + 132/990
Note......you could turn this into an improper fraction if you're so inclined !!!
