let\'s translate to decimal like this:
5∙11.00000+2∙11.0000-1+0∙11.0000-2+0∙11.0000-3+0∙11.0000-4+0∙11.0000-5+0∙11.0000-6+0∙11.0000-7+0∙11.0000-8+0∙11.0000-9+0∙11.0000-10+0∙11.0000-11+0∙11.0000-12 = 5∙1+2∙0.090909090909091+0∙0.0082644628099174+0∙0.00075131480090158+0∙6.8301345536507E-5+0∙6.2092132305916E-6+0∙5.6447393005378E-7+0∙5.1315811823071E-8+0∙4.6650738020973E-9+0∙4.2409761837248E-10+0∙3.8554328942953E-11+0∙3.5049389948139E-12+0∙3.1863081771036E-13 = 5+0.18181818181818+0+0+0+0+0+0+0+0+0+0+0 = 5.1818181818181810
got It: 5.20000000000011.0000 =5.1818181818181810
Translate the number 5.1818181818181810 в 5.18181818181819 - false like this:
the Fractional part of the number is multiplied by the base of the new number system:
 |
| 0. | 18181818181818*5.18181818181819 |
| 0 | .94215*5.18181818181819 |
| 4 | .88204*5.18181818181819 |
| 4 | .57059*5.18181818181819 |
| 2 | .95669*5.18181818181819 |
| 4 | .9574*5.18181818181819 |
| 4 | .96106*5.18181818181819 |
| 4 | .98004*5.18181818181819 |
| 5 | .07837*5.18181818181819 |
| 0 | .40609*5.18181818181819 |
| 2 | .10427*5.18181818181819 |
the result of the conversion was:
5.1818181818181810 = 5.04424445025.18181818181819
the Final answer: 5.20000000000011.0000 = 5.04424445025.18181818181819