The following is a list of selected rational numbers expressed in various number bases.
1 / 2 000000000000000000000000000000.1 1 / 3 101010101010101010101010101011 2 / 3 010101010101010101010101010110 1 / 4 000000000000000000000000000000.01 2 / 4 000000000000000000000000000000.1 3 / 4 000000000000000000000000000000.11 1 / 5 001100110011001100110011001101 2 / 5 011001100110011001100110011010 3 / 5 100110011001100110011001100111 4 / 5 110011001100110011001100110100 1 / 6 010101010101010101010101010101.1 2 / 6 001010101010101010101010101011 3 / 6 000000000000000000000000000000.1 4 / 6 010101010101010101010101010110 5 / 6 001010101010101010101010101011.1 1 / 7 110110110110110110110110110111 2 / 7 101101101101101101101101101110 3 / 7 100100100100100100100100100101 4 / 7 011011011011011011011011011100 5 / 7 010010010010010010010010010011 6 / 7 001001001001001001001001001010 1 / 8 000000000000000000000000000000.001 2 / 8 000000000000000000000000000000.01 3 / 8 000000000000000000000000000000.011 4 / 8 000000000000000000000000000000.1 5 / 8 000000000000000000000000000000.101 6 / 8 000000000000000000000000000000.11 7 / 8 000000000000000000000000000000.111 1 / 9 111000111000111000111000111001 2 / 9 110001110001110001110001110010 3 / 9 101010101010101010101010101011 4 / 9 100011100011100011100011100100 5 / 9 011100011100011100011100011101 6 / 9 010101010101010101010101010110 7 / 9 001110001110001110001110001111 8 / 9 000111000111000111000111001000
1 / 2 111111111111111111111111111112 1 / 3 000000000000000000000000000000.1 2 / 3 000000000000000000000000000000.2 1 / 4 202020202020202020202020202021 2 / 4 111111111111111111111111111112 3 / 4 020202020202020202020202020210 1 / 5 012101210121012101210121012102 2 / 5 101210121012101210121012101211 3 / 5 121012101210121012101210121020 4 / 5 210121012101210121012101210122 1 / 6 011111111111111111111111111111.2 2 / 6 000000000000000000000000000000.1 3 / 6 011111111111111111111111111112 4 / 6 000000000000000000000000000000.2 5 / 6 011111111111111111111111111112.1 1 / 7 212010212010212010212010212011 2 / 7 201021201021201021201021201022 3 / 7 120102120102120102120102120110 4 / 7 102120102120102120102120102121 5 / 7 021201021201021201021201021202 6 / 7 010212010212010212010212010220 1 / 8 212121212121212121212121212122 2 / 8 202020202020202020202020202021 3 / 8 121212121212121212121212121220 4 / 8 111111111111111111111111111112 5 / 8 101010101010101010101010101011 6 / 8 020202020202020202020202020210 7 / 8 010101010101010101010101010102 1 / 9 000000000000000000000000000000.01 2 / 9 000000000000000000000000000000.02 3 / 9 000000000000000000000000000000.1 4 / 9 000000000000000000000000000000.11 5 / 9 000000000000000000000000000000.12 6 / 9 000000000000000000000000000000.2 7 / 9 000000000000000000000000000000.21 8 / 9 000000000000000000000000000000.22
1 / 2 000000000000000000000000000000.2 1 / 3 222222222222222222222222222223 2 / 3 111111111111111111111111111112 1 / 4 000000000000000000000000000000.1 2 / 4 000000000000000000000000000000.2 3 / 4 000000000000000000000000000000.3 1 / 5 303030303030303030303030303031 2 / 5 212121212121212121212121212122 3 / 5 121212121212121212121212121213 4 / 5 030303030303030303030303030310 1 / 6 111111111111111111111111111111.2 2 / 6 022222222222222222222222222223 3 / 6 000000000000000000000000000000.2 4 / 6 111111111111111111111111111112 5 / 6 022222222222222222222222222223.2 1 / 7 312312312312312312312312312313 2 / 7 231231231231231231231231231232 3 / 7 210210210210210210210210210211 4 / 7 123123123123123123123123123130 5 / 7 102102102102102102102102102103 6 / 7 021021021021021021021021021022 1 / 8 000000000000000000000000000000.02 2 / 8 000000000000000000000000000000.1 3 / 8 000000000000000000000000000000.12 4 / 8 000000000000000000000000000000.2 5 / 8 000000000000000000000000000000.22 6 / 8 000000000000000000000000000000.3 7 / 8 000000000000000000000000000000.32 1 / 9 320320320320320320320320320321 2 / 9 301301301301301301301301301302 3 / 9 222222222222222222222222222223 4 / 9 203203203203203203203203203210 5 / 9 130130130130130130130130130131 6 / 9 111111111111111111111111111112 7 / 9 032032032032032032032032032033 8 / 9 013013013013013013013013013020
1 / 2 222222222222222222222222222223 1 / 3 313131313131313131313131313132 2 / 3 131313131313131313131313131314 1 / 4 333333333333333333333333333334 2 / 4 222222222222222222222222222223 3 / 4 111111111111111111111111111112 1 / 5 000000000000000000000000000000.1 2 / 5 000000000000000000000000000000.2 3 / 5 000000000000000000000000000000.3 4 / 5 000000000000000000000000000000.4 1 / 6 404040404040404040404040404041 2 / 6 313131313131313131313131313132 3 / 6 222222222222222222222222222223 4 / 6 131313131313131313131313131314 5 / 6 040404040404040404040404040410 1 / 7 412032412032412032412032412033 2 / 7 324120324120324120324120324121 3 / 7 241203241203241203241203241204 4 / 7 203241203241203241203241203242 5 / 7 120324120324120324120324120330 6 / 7 032412032412032412032412032413 1 / 8 414141414141414141414141414142 2 / 8 333333333333333333333333333334 3 / 8 303030303030303030303030303031 4 / 8 222222222222222222222222222223 5 / 8 141414141414141414141414141420 6 / 8 111111111111111111111111111112 7 / 8 030303030303030303030303030304 1 / 9 421023421023421023421023421024 2 / 9 342102342102342102342102342103 3 / 9 313131313131313131313131313132 4 / 9 234210234210234210234210234211 5 / 9 210234210234210234210234210240 6 / 9 131313131313131313131313131314 7 / 9 102342102342102342102342102343 8 / 9 023421023421023421023421023422
1 / 2 000000000000000000000000000000.3 1 / 3 000000000000000000000000000000.2 2 / 3 000000000000000000000000000000.4 1 / 4 000000000000000000000000000000.13 2 / 4 000000000000000000000000000000.3 3 / 4 000000000000000000000000000000.43 1 / 5 444444444444444444444444444445 2 / 5 333333333333333333333333333334 3 / 5 222222222222222222222222222223 4 / 5 111111111111111111111111111112 1 / 6 000000000000000000000000000000.1 2 / 6 000000000000000000000000000000.2 3 / 6 000000000000000000000000000000.3 4 / 6 000000000000000000000000000000.4 5 / 6 000000000000000000000000000000.5 1 / 7 505050505050505050505050505051 2 / 7 414141414141414141414141414142 3 / 7 323232323232323232323232323233 4 / 7 232323232323232323232323232324 5 / 7 141414141414141414141414141415 6 / 7 050505050505050505050505050510 1 / 8 000000000000000000000000000000.043 2 / 8 000000000000000000000000000000.13 3 / 8 000000000000000000000000000000.213 4 / 8 000000000000000000000000000000.3 5 / 8 000000000000000000000000000000.343 6 / 8 000000000000000000000000000000.43 7 / 8 000000000000000000000000000000.513 1 / 9 000000000000000000000000000000.04 2 / 9 000000000000000000000000000000.12 3 / 9 000000000000000000000000000000.2 4 / 9 000000000000000000000000000000.24 5 / 9 000000000000000000000000000000.32 6 / 9 000000000000000000000000000000.4 7 / 9 000000000000000000000000000000.44 8 / 9 000000000000000000000000000000.52
1 / 2 333333333333333333333333333334 1 / 3 444444444444444444444444444445 2 / 3 222222222222222222222222222223 1 / 4 515151515151515151515151515152 2 / 4 333333333333333333333333333334 3 / 4 151515151515151515151515151516 1 / 5 125412541254125412541254125413 2 / 5 254125412541254125412541254126 3 / 5 412541254125412541254125412542 4 / 5 541254125412541254125412541255 1 / 6 555555555555555555555555555556 2 / 6 444444444444444444444444444445 3 / 6 333333333333333333333333333334 4 / 6 222222222222222222222222222223 5 / 6 111111111111111111111111111112 1 / 7 000000000000000000000000000000.1 2 / 7 000000000000000000000000000000.2 3 / 7 000000000000000000000000000000.3 4 / 7 000000000000000000000000000000.4 5 / 7 000000000000000000000000000000.5 6 / 7 000000000000000000000000000000.6 1 / 8 606060606060606060606060606061 2 / 8 515151515151515151515151515152 3 / 8 424242424242424242424242424243 4 / 8 333333333333333333333333333334 5 / 8 242424242424242424242424242425 6 / 8 151515151515151515151515151516 7 / 8 060606060606060606060606060610 1 / 9 613613613613613613613613613614 2 / 9 530530530530530530530530530531 3 / 9 444444444444444444444444444445 4 / 9 361361361361361361361361361362 5 / 9 305305305305305305305305305306 6 / 9 222222222222222222222222222223 7 / 9 136136136136136136136136136140 8 / 9 053053053053053053053053053054
1 / 2 000000000000000000000000000000.4 1 / 3 525252525252525252525252525253 2 / 3 252525252525252525252525252526 1 / 4 000000000000000000000000000000.2 2 / 4 000000000000000000000000000000.4 3 / 4 000000000000000000000000000000.6 1 / 5 146314631463146314631463146315 2 / 5 314631463146314631463146314632 3 / 5 463146314631463146314631463147 4 / 5 631463146314631463146314631464 1 / 6 252525252525252525252525252525.4 2 / 6 125252525252525252525252525253 3 / 6 000000000000000000000000000000.4 4 / 6 252525252525252525252525252526 5 / 6 125252525252525252525252525253.4 1 / 7 666666666666666666666666666667 2 / 7 555555555555555555555555555556 3 / 7 444444444444444444444444444445 4 / 7 333333333333333333333333333334 5 / 7 222222222222222222222222222223 6 / 7 111111111111111111111111111112 1 / 8 000000000000000000000000000000.1 2 / 8 000000000000000000000000000000.2 3 / 8 000000000000000000000000000000.3 4 / 8 000000000000000000000000000000.4 5 / 8 000000000000000000000000000000.5 6 / 8 000000000000000000000000000000.6 7 / 8 000000000000000000000000000000.7 1 / 9 707070707070707070707070707071 2 / 9 616161616161616161616161616162 3 / 9 525252525252525252525252525253 4 / 9 434343434343434343434343434344 5 / 9 343434343434343434343434343435 6 / 9 252525252525252525252525252526 7 / 9 161616161616161616161616161617 8 / 9 070707070707070707070707070710
1 / 2 444444444444444444444444444445 1 / 3 000000000000000000000000000000.3 2 / 3 000000000000000000000000000000.6 1 / 4 666666666666666666666666666667 2 / 4 444444444444444444444444444445 3 / 4 222222222222222222222222222223 1 / 5 717171717171717171717171717172 2 / 5 535353535353535353535353535354 3 / 5 353535353535353535353535353536 4 / 5 171717171717171717171717171718 1 / 6 144444444444444444444444444444.6 2 / 6 000000000000000000000000000000.3 3 / 6 144444444444444444444444444445 4 / 6 000000000000000000000000000000.6 5 / 6 144444444444444444444444444445.3 1 / 7 763763763763763763763763763764 2 / 7 637637637637637637637637637638 3 / 7 512512512512512512512512512513 4 / 7 376376376376376376376376376377 5 / 7 251251251251251251251251251252 6 / 7 125125125125125125125125125126 1 / 8 777777777777777777777777777778 2 / 8 666666666666666666666666666667 3 / 8 555555555555555555555555555556 4 / 8 444444444444444444444444444445 5 / 8 333333333333333333333333333334 6 / 8 222222222222222222222222222223 7 / 8 111111111111111111111111111112 1 / 9 000000000000000000000000000000.1 2 / 9 000000000000000000000000000000.2 3 / 9 000000000000000000000000000000.3 4 / 9 000000000000000000000000000000.4 5 / 9 000000000000000000000000000000.5 6 / 9 000000000000000000000000000000.6 7 / 9 000000000000000000000000000000.7 8 / 9 000000000000000000000000000000.8
1 / 2 000000000000000000000000000000.5 1 / 3 666666666666666666666666666667 2 / 3 333333333333333333333333333334 1 / 4 000000000000000000000000000000.25 2 / 4 000000000000000000000000000000.5 3 / 4 000000000000000000000000000000.75 1 / 5 000000000000000000000000000000.2 2 / 5 000000000000000000000000000000.4 3 / 5 000000000000000000000000000000.6 4 / 5 000000000000000000000000000000.8 1 / 6 333333333333333333333333333333.5 2 / 6 166666666666666666666666666667 3 / 6 000000000000000000000000000000.5 4 / 6 333333333333333333333333333334 5 / 6 166666666666666666666666666667.5 1 / 7 857142857142857142857142857143 2 / 7 714285714285714285714285714286 3 / 7 571428571428571428571428571429 4 / 7 428571428571428571428571428572 5 / 7 285714285714285714285714285715 6 / 7 142857142857142857142857142858 1 / 8 000000000000000000000000000000.125 2 / 8 000000000000000000000000000000.25 3 / 8 000000000000000000000000000000.375 4 / 8 000000000000000000000000000000.5 5 / 8 000000000000000000000000000000.625 6 / 8 000000000000000000000000000000.75 7 / 8 000000000000000000000000000000.875 1 / 9 888888888888888888888888888889 2 / 9 777777777777777777777777777778 3 / 9 666666666666666666666666666667 4 / 9 555555555555555555555555555556 5 / 9 444444444444444444444444444445 6 / 9 333333333333333333333333333334 7 / 9 222222222222222222222222222223 8 / 9 111111111111111111111111111112
1 / 2 000000000000000000000000000000.f 1 / 3 000000000000000000000000000000.a 2 / 3 000000000000000000000000000000.k 1 / 4 000000000000000000000000000000.7f 2 / 4 000000000000000000000000000000.f 3 / 4 000000000000000000000000000000.mf 1 / 5 000000000000000000000000000000.6 2 / 5 000000000000000000000000000000.c 3 / 5 000000000000000000000000000000.i 4 / 5 000000000000000000000000000000.o 1 / 6 000000000000000000000000000000.5 2 / 6 000000000000000000000000000000.a 3 / 6 000000000000000000000000000000.f 4 / 6 000000000000000000000000000000.k 5 / 6 000000000000000000000000000000.p 1 / 7 plcplcplcplcplcplcplcplcplcpld 2 / 7 lcplcplcplcplcplcplcplcplcplcq 3 / 7 h48h48h48h48h48h48h48h48h48h49 4 / 7 cplcplcplcplcplcplcplcplcplcpm 5 / 7 8h48h48h48h48h48h48h48h48h48h5 6 / 7 48h48h48h48h48h48h48h48h48h48i 1 / 8 000000000000000000000000000000.3mf 2 / 8 000000000000000000000000000000.7f 3 / 8 000000000000000000000000000000.b7f 4 / 8 000000000000000000000000000000.f 5 / 8 000000000000000000000000000000.imf 6 / 8 000000000000000000000000000000.mf 7 / 8 000000000000000000000000000000.q7f 1 / 9 000000000000000000000000000000.3a 2 / 9 000000000000000000000000000000.6k 3 / 9 000000000000000000000000000000.a 4 / 9 000000000000000000000000000000.da 5 / 9 000000000000000000000000000000.gk 6 / 9 000000000000000000000000000000.k 7 / 9 000000000000000000000000000000.na 8 / 9 000000000000000000000000000000.qk
© Scott Sherman 1999