Editing Balanced ternary (section)

=== Conversion to and from a fraction===
<div style="display: flex; column-gap: 1em; margin-inline-start: 1.5em;">
{| class="wikitable" style="text-align: center;"
!Fraction!!colspan="2"|Balanced ternary
|-
|1||colspan="2"|1
|-
|{{sfrac|1|2}}||0.{{overline|1}}||1.{{overline|𝖳}}
|-
|{{sfrac|1|3}}||colspan="2"|0.1
|-
|{{sfrac|1|4}}||colspan="2"|0.{{overline|1𝖳}}
|-
|{{sfrac|1|5}}||colspan="2"|0.{{overline|1𝖳𝖳1}}
|-
|{{sfrac|1|6}}||0.0{{overline|1}}||0.1{{overline|𝖳}}
|-
|{{sfrac|1|7}}||colspan="2"|0.{{overline|0110𝖳𝖳}}
|-
|{{sfrac|1|8}}||colspan="2"|0.{{overline|01}}
|-
|{{sfrac|1|9}}||colspan="2"|0.01
|-
|{{sfrac|1|10}}||colspan="2"|0.{{overline|010𝖳}}
|}
{| class="wikitable" style="text-align: center;"
!Fraction!!colspan="2"|Balanced ternary
|-
|{{sfrac|1|11}}||colspan="2"|0.{{overline|01𝖳11}}
|-
|{{sfrac|1|12}}||colspan="2"|0.0{{overline|1𝖳}}
|-
|{{sfrac|1|13}}||colspan="2"|0.{{overline|01𝖳}}
|-
|{{sfrac|1|14}}||colspan="2"|0.{{overline|01𝖳0𝖳1}}
|-
|{{sfrac|1|15}}||colspan="2"|0.0{{overline|1𝖳𝖳1}}
|-
|{{sfrac|1|16}}||colspan="2"|0.{{overline|01𝖳𝖳}}
|-
|{{sfrac|1|17}}||colspan="2"|0.{{overline|01𝖳𝖳𝖳10𝖳0𝖳111𝖳01}}
|-
|{{sfrac|1|18}}||0.00{{overline|1}}||0.01{{overline|𝖳}}
|-
|{{sfrac|1|19}}||colspan="2"|0.{{overline|00111𝖳10100𝖳𝖳𝖳1𝖳0𝖳}}
|-
|{{sfrac|1|20}}||colspan="2"|0.{{overline|0011}}
|}
</div>

The conversion of a repeating balanced ternary number to a fraction is analogous to [[Repeating decimal#Converting repeating decimals to fractions|converting a repeating decimal]]. For example (because of 111111<sub>bal3</sub> = ({{sfrac|3<sup>6</sup> − 1|3 − 1}})<sub>dec</sub>):
: <math> 0.1\overline{\mathrm{110TT0} } =\tfrac{\mathrm{1110TT0-1} }{\mathrm{111111\times 1T\times 10}}=\tfrac{\mathrm{1110TTT} } {\mathrm{111111\times 1T0}}  =\tfrac{\mathrm{111\times 1000T} } {\mathrm{111\times 1001\times 1T0}} =\tfrac{\mathrm{1111\times 1T}}{\mathrm{1001\times 1T0}} =\tfrac{1111}{10010}=\tfrac{\mathrm{1T1T}}{\mathrm{1TTT0}} =\tfrac{101}{\mathrm{1T10} } </math>