what is 0.878787... as a fraction :)
2 answers
The closest I can come 7/8 = .875.
if
x = 0.8787...
100x = 87.8787...
so 99x = 87
x = 87/99
In general, if n digits repeat after the decimal, then the value is just the n digits divided by n 9's.
0.128712871287... = 1287/9999
1.20456456456 = 1.20 + 456/999 * 1/100 because the repeating digits did not start until two places after the decimal point.
1.20 + 456/999 = 6/5 + 152/333 = 2758/1665
x = 0.8787...
100x = 87.8787...
so 99x = 87
x = 87/99
In general, if n digits repeat after the decimal, then the value is just the n digits divided by n 9's.
0.128712871287... = 1287/9999
1.20456456456 = 1.20 + 456/999 * 1/100 because the repeating digits did not start until two places after the decimal point.
1.20 + 456/999 = 6/5 + 152/333 = 2758/1665