Comparing fractions in four number bases

 

All fractions from one tenth (10%) to nine tenths (90%)

SixThirty‐sixTenTwelve
1⁄140‍󱹮‍0‍󱹯‍31⁄4̇0‍󱹮‍3‍󱹯‍3̊1⁄100.11⁄↊0.1‥2497
1⁄130‍󱹮‍041⁄3̇0‍󱹮‍41⁄90‥11⁄90.14
1⁄120‍󱹮‍0431⁄2̇0‍󱹮‍40̊1⁄80.1251⁄80.16
1⁄110‍󱹯‍051⁄1̇0‍󱹯‍51⁄70‥142 8571⁄70‥186 ↊35
1⁄100‍󱹮‍11⁄0̇0‍󱹮‍0̇1⁄60.1‥61⁄60.2
1⁄50‍󱹯‍11⁄50‍󱹯‍1̇1⁄50.21⁄50‥2497
2⁄130‍󱹮‍122⁄3̇0‍󱹮‍2̇2⁄90‥22⁄90.28
1⁄40‍󱹮‍131⁄40‍󱹮‍3̇1⁄40.251⁄40.3
2⁄110‍󱹯‍142⁄1̇0‍󱹯‍4̇2⁄70‥285 7142⁄70‥351 86↊
3⁄140‍󱹮‍1‍󱹯‍43⁄4̇0‍󱹮‍4̇‍󱹯‍4̄3⁄100.33⁄↊0.3‥7249
1⁄30‍󱹮‍21⁄30‍󱹮‍0̈1⁄30‥31⁄30.4
3⁄120‍󱹮‍2133⁄2̇0‍󱹮‍1̈0̊3⁄80.3753⁄80.46
2⁄50‍󱹯‍22⁄50‍󱹯‍2̈2⁄50.42⁄50‥4972
3⁄110‍󱹯‍233⁄1̇0‍󱹯‍3̈3⁄70‥428 5713⁄70‥518 6↊3
4⁄130‍󱹮‍244⁄3̇0‍󱹮‍4̈4⁄90‥44⁄90.54
1⁄20‍󱹮‍31⁄20‍󱹮‍0̊1⁄20.51⁄20.6
5⁄130‍󱹮‍325⁄3̇0‍󱹮‍2̊5⁄90‥55⁄90.68
4⁄110‍󱹯‍324⁄1̇0‍󱹯‍2̊4⁄70‥571 4284⁄70‥6↊3 518
3⁄50‍󱹯‍33⁄50‍󱹯‍3̊3⁄50.63⁄50‥7249
5⁄120‍󱹮‍3435⁄2̇0‍󱹮‍4̊0̊5⁄80.6255⁄80.76
2⁄30‍󱹮‍42⁄30‍󱹮‍0̄2⁄30‥62⁄30.8
11⁄140‍󱹮‍4‍󱹯‍11̇⁄4̇0‍󱹮‍1̄‍󱹯‍1̇7⁄100.77⁄↊0.8‥4972
5⁄110‍󱹯‍415⁄1̇0‍󱹯‍1̄5⁄70‥714 2855⁄70‥86↊ 351
3⁄40‍󱹮‍433⁄40‍󱹮‍3̄3⁄40.753⁄40.9
11⁄130‍󱹮‍441̇⁄3̇0‍󱹮‍4̄7⁄90‥77⁄90.94
4⁄50‍󱹯‍44⁄50‍󱹯‍4̄4⁄50.84⁄50‥9724
5⁄100‍󱹮‍55⁄0̇0‍󱹮‍0̆5⁄60.8‥35⁄60.↊
10⁄110‍󱹯‍500̇⁄1̇0‍󱹯‍0̆6⁄70‥857 1426⁄70‥↊35 186
11⁄120‍󱹮‍5131̇⁄2̇0‍󱹮‍1̆0̊7⁄80.8757⁄80.↊6
12⁄130‍󱹮‍522̇⁄3̇0‍󱹮‍2̆8⁄90‥88⁄90.↊8
13⁄140‍󱹮‍5‍󱹯‍23̇⁄4̇0‍󱹮‍2̆‍󱹯‍2̈9⁄100.99⁄↊0.↊‥9724

 

Unitary fractions from two to thirty-six

SixThirty‐sixTenTwelve
1⁄20‍󱹮‍31⁄20‍󱹮‍0̊1⁄20.51⁄20.6
1⁄30‍󱹮‍21⁄30‍󱹮‍0̈1⁄30‥31⁄30.4
1⁄40‍󱹮‍131⁄40‍󱹮‍3̇1⁄40.251⁄40.3
1⁄50‍󱹯‍11⁄50‍󱹯‍1̇1⁄50.21⁄50‥2497
1⁄100‍󱹮‍11⁄0̇0‍󱹮‍0̇1⁄60.1‥61⁄60.2
1⁄110‍󱹯‍051⁄1̇0‍󱹯‍51⁄70‥142 8571⁄70‥186 ↊35
1⁄120‍󱹮‍0431⁄2̇0‍󱹮‍40̊1⁄80.1251⁄80.16
1⁄130‍󱹮‍041⁄3̇0‍󱹮‍41⁄90‥11⁄90.14
1⁄140‍󱹮‍0‍󱹯‍31⁄4̇0‍󱹮‍3‍󱹯‍3̊1⁄100.110.1‥2497
1⁄150‍󱹯‍031 345 242 11⁄5̇0‍󱹯‍33̇5̄‍󱹭‍4̈1̈1⁄110‥0910‥1
1⁄200‍󱹮‍031⁄0̈0‍󱹮‍31⁄120.08‥31⁄100.1
1⁄210‍󱹯‍024 340 531 2151⁄1̈0‍󱹯‍23̄0̄‍󱹭‍3̆2̇5̇1⁄130‥076 9231⁄110‥0↋
1⁄220‍󱹮‍0‍󱹯‍231⁄2̈0‍󱹮‍2‍󱹯‍2̊1⁄140.0‥714 2851⁄120.0‥↊35 186
1⁄230‍󱹮‍0‍󱹯‍21⁄3̈0‍󱹮‍2‍󱹯‍2̈1⁄150.0‥61⁄130.0‥9724
1⁄240‍󱹮‍02131⁄4̈0‍󱹮‍23̇1⁄160.06251⁄140.09
1⁄250‍󱹯‍020 412 245 351 433 11⁄5̈0‍󱹯‍242̇‍󱹭‍4̈3̆1̆‍󱹬‍3̄1̊1⁄170‥058 823 529 411 764 71⁄150‥085 792 14↋ 364 29↊ 7
1⁄300‍󱹮‍021⁄0̊0‍󱹮‍21⁄180.0‥51⁄160.08
1⁄310‍󱹯‍015 211 3251⁄1̊0‍󱹯‍12̆1̇‍󱹭‍2̊0̆5̇‍󱹬‍1̈3̇5̈1⁄190‥052 631 578 947 368 4211⁄170‥076 ↋45
1⁄320‍󱹮‍01‍󱹯‍41⁄2̊0‍󱹮‍1‍󱹯‍4̄1⁄200.051⁄180.0‥7249
1⁄330‍󱹮‍0‍󱹯‍141⁄3̊0‍󱹮‍1‍󱹯‍1̄1⁄210‥047 6191⁄190.0‥6↊3 518
1⁄340‍󱹮‍0‍󱹯‍134 524 210 31⁄4̊0‍󱹮‍1‍󱹯‍4̊2̆2̄‍󱹭‍0̇1̊1⁄220.0‥4511↊0.0‥6
1⁄350‍󱹯‍013 220 304 411⁄5̊0‍󱹯‍12̊0̈‍󱹭‍0̊4̄0̇‍󱹬‍3̇2̈3‍󱹭‍41̄1⁄230‥043 478 260 869 565 217 391 311↋0‥063 169 484 21
1⁄400‍󱹮‍0131⁄0̄0‍󱹮‍10̊1⁄240.041‥61⁄200.06
1⁄410‍󱹯‍012 351⁄1̄0‍󱹯‍13̈0̆‍󱹭‍2̇5̊1⁄250.041⁄210‥059 153 43↊ 0↋6 2↊6 878 1↋
1⁄420‍󱹮‍0‍󱹯‍121 502 434 0531⁄2̄0‍󱹮‍1‍󱹯‍1̈0̆4̈‍󱹭‍4̊51̊1⁄260.0‥384 6151⁄220.0‥56
1⁄430‍󱹮‍0121⁄3̄0‍󱹮‍10̈1⁄270‥0371⁄230.054
1⁄440‍󱹮‍01‍󱹯‍141⁄4̄0‍󱹮‍1‍󱹯‍4̇1⁄280.03‥571 4281⁄240.0‥518 6↊3
1⁄450‍󱹯‍011 240 454 431 511⁄5̄0‍󱹯‍12̇0̄‍󱹭‍5̄4̄1̊‍󱹬‍1̆1⁄290‥034 482 758 620 689 655
 172 413 793 1
1⁄250‥04↋7
1⁄500‍󱹮‍0‍󱹯‍11⁄0̆0‍󱹮‍1‍󱹯‍1̇1⁄300.0‥31⁄260.0‥4972
1⁄510‍󱹯‍010 5451⁄1̆0‍󱹯‍155̄1⁄310‥032 258 064 516 1291⁄270‥047 8↊↊ 093 598 166 ↋74
 311 ↋28 623 ↊55
1⁄520‍󱹮‍010 431⁄2̆0‍󱹮‍140̊1⁄320.031 251⁄280.046
1⁄530‍󱹮‍0‍󱹯‍103 134 524 21⁄3̆0‍󱹮‍1‍󱹯‍33̇5̄‍󱹭‍4̈1̈1⁄330‥031⁄290.0‥4
1⁄540‍󱹮‍0‍󱹯‍102 041 224 535 143 31⁄4̆0‍󱹮‍1‍󱹯‍242̇‍󱹭‍4̈3̆1̆‍󱹬‍3̄1̊1⁄340.0‥294 117 647 058 823 512↊0.0‥429 ↊70 857 921 4↋3 6
1⁄550‍󱹯‍011⁄5̆0‍󱹯‍11⁄350.0‥285 71412↋0‥041 455 9↋3 931
1⁄1000‍󱹮‍011⁄100‍󱹮‍11⁄360.02‥71⁄300.04

 

Regular patterns in base six representation of hundreths

On the table below, each individual row has the same recurring part, and each highlighted group of rows has the same fixed part;

For each column, the fixed part is 0‍󱹮‍13 greater than the previous column, and the last 3 digits of the recurring part flow in decresent order, and the first 2 in crescent order;

TenSixTenSixTenSixTenSix
0.010‍󱹮‍00‍󱹯‍20‍󱹭‍5430.260‍󱹮‍13‍󱹯‍20‍󱹭‍5430.510‍󱹮‍30‍󱹯‍20‍󱹭‍5430.760‍󱹮‍43‍󱹯‍20‍󱹭‍543
0.020‍󱹮‍00‍󱹯‍41‍󱹭‍5300.270‍󱹮‍13‍󱹯‍41‍󱹭‍5300.520‍󱹮‍30‍󱹯‍41‍󱹭‍5300.770‍󱹮‍43‍󱹯‍41‍󱹭‍530
0.030‍󱹮‍01‍󱹯‍02‍󱹭‍5140.280‍󱹮‍14‍󱹯‍02‍󱹭‍5140.530‍󱹮‍31‍󱹯‍02‍󱹭‍5140.780‍󱹮‍44‍󱹯‍02‍󱹭‍514
0.040‍󱹮‍01‍󱹯‍23‍󱹭‍5010.290‍󱹮‍14‍󱹯‍23‍󱹭‍5010.540‍󱹮‍31‍󱹯‍23‍󱹭‍5010.790‍󱹮‍44‍󱹯‍23‍󱹭‍501
0.050‍󱹮‍01‍󱹯‍44‍󱹭‍4440.300‍󱹮‍14‍󱹯‍44‍󱹭‍4440.550‍󱹮‍31‍󱹯‍44‍󱹭‍4440.800‍󱹮‍44‍󱹯‍44‍󱹭‍444
0.060‍󱹮‍02‍󱹯‍05‍󱹭‍4320.310‍󱹮‍15‍󱹯‍05‍󱹭‍4320.560‍󱹮‍32‍󱹯‍05‍󱹭‍4320.810‍󱹮‍45‍󱹯‍05‍󱹭‍432
0.070‍󱹮‍02‍󱹯‍30‍󱹭‍4150.320‍󱹮‍15‍󱹯‍30‍󱹭‍4150.570‍󱹮‍32‍󱹯‍30‍󱹭‍4150.820‍󱹮‍45‍󱹯‍30‍󱹭‍415
0.080‍󱹮‍02‍󱹯‍51‍󱹭‍4020.330‍󱹮‍15‍󱹯‍51‍󱹭‍4020.580‍󱹮‍32‍󱹯‍51‍󱹭‍4020.830‍󱹮‍45‍󱹯‍51‍󱹭‍402
0.090‍󱹮‍03‍󱹯‍12‍󱹭‍3500.340‍󱹮‍20‍󱹯‍12‍󱹭‍3500.590‍󱹮‍33‍󱹯‍12‍󱹭‍3500.840‍󱹮‍50‍󱹯‍12‍󱹭‍350
0.100‍󱹮‍03‍󱹯‍33‍󱹭‍3330.350‍󱹮‍20‍󱹯‍33‍󱹭‍3330.600‍󱹮‍33‍󱹯‍33‍󱹭‍3330.850‍󱹮‍50‍󱹯‍33‍󱹭‍333
0.110‍󱹮‍03‍󱹯‍54‍󱹭‍3200.360‍󱹮‍20‍󱹯‍54‍󱹭‍3200.610‍󱹮‍33‍󱹯‍54‍󱹭‍3200.860‍󱹮‍50‍󱹯‍54‍󱹭‍320
0.120‍󱹮‍04‍󱹯‍15‍󱹭‍3040.370‍󱹮‍21‍󱹯‍15‍󱹭‍3040.620‍󱹮‍34‍󱹯‍15‍󱹭‍3040.870‍󱹮‍51‍󱹯‍15‍󱹭‍304
0.130‍󱹮‍04‍󱹯‍40‍󱹭‍2510.380‍󱹮‍21‍󱹯‍40‍󱹭‍2510.630‍󱹮‍34‍󱹯‍40‍󱹭‍2510.880‍󱹮‍51‍󱹯‍40‍󱹭‍251
0.140‍󱹮‍05‍󱹯‍01‍󱹭‍2350.390‍󱹮‍22‍󱹯‍01‍󱹭‍2350.640‍󱹮‍35‍󱹯‍01‍󱹭‍2350.890‍󱹮‍52‍󱹯‍01‍󱹭‍235
0.150‍󱹮‍05‍󱹯‍22‍󱹭‍2220.400‍󱹮‍22‍󱹯‍22‍󱹭‍2220.650‍󱹮‍35‍󱹯‍22‍󱹭‍2220.900‍󱹮‍52‍󱹯‍22‍󱹭‍222
0.160‍󱹮‍05‍󱹯‍43‍󱹭‍2050.410‍󱹮‍22‍󱹯‍43‍󱹭‍2050.660‍󱹮‍35‍󱹯‍43‍󱹭‍2050.910‍󱹮‍52‍󱹯‍43‍󱹭‍205
0.170‍󱹮‍10‍󱹯‍04‍󱹭‍1530.420‍󱹮‍23‍󱹯‍04‍󱹭‍1530.670‍󱹮‍40‍󱹯‍04‍󱹭‍1530.920‍󱹮‍53‍󱹯‍04‍󱹭‍153
0.180‍󱹮‍10‍󱹯‍25‍󱹭‍1400.430‍󱹮‍23‍󱹯‍25‍󱹭‍1400.680‍󱹮‍40‍󱹯‍25‍󱹭‍1400.930‍󱹮‍53‍󱹯‍25‍󱹭‍140
0.190‍󱹮‍10‍󱹯‍50‍󱹭‍1230.440‍󱹮‍23‍󱹯‍50‍󱹭‍1230.690‍󱹮‍40‍󱹯‍50‍󱹭‍1230.940‍󱹮‍53‍󱹯‍50‍󱹭‍123
0.200‍󱹮‍11‍󱹯‍11‍󱹭‍1110.450‍󱹮‍24‍󱹯‍11‍󱹭‍1110.700‍󱹮‍41‍󱹯‍11‍󱹭‍1110.950‍󱹮‍54‍󱹯‍11‍󱹭‍111
0.210‍󱹮‍11‍󱹯‍32‍󱹭‍0540.460‍󱹮‍24‍󱹯‍32‍󱹭‍0540.710‍󱹮‍41‍󱹯‍32‍󱹭‍0540.960‍󱹮‍54‍󱹯‍32‍󱹭‍054
0.220‍󱹮‍11‍󱹯‍53‍󱹭‍0410.470‍󱹮‍24‍󱹯‍53‍󱹭‍0410.720‍󱹮‍41‍󱹯‍53‍󱹭‍0410.970‍󱹮‍54‍󱹯‍53‍󱹭‍041
0.230‍󱹮‍12‍󱹯‍14‍󱹭‍0250.480‍󱹮‍25‍󱹯‍14‍󱹭‍0250.730‍󱹮‍42‍󱹯‍14‍󱹭‍0250.980‍󱹮‍55‍󱹯‍14‍󱹭‍025
0.240‍󱹮‍12‍󱹯‍35‍󱹭‍0120.490‍󱹮‍25‍󱹯‍35‍󱹭‍0120.740‍󱹮‍42‍󱹯‍35‍󱹭‍0120.990‍󱹮‍55‍󱹯‍35‍󱹭‍012
0.250‍󱹮‍13‍󱹯‍00‍󱹭‍0000.500‍󱹮‍30‍󱹯‍00‍󱹭‍0000.750‍󱹮‍43‍󱹯‍00‍󱹭‍0001.001‍󱹮‍00‍󱹯‍00‍󱹭‍000