converting emacs calc eqn to latex in org table

Question

Is it possible to convert column 2 to latex in org-table using a command? It seems that the technology already exists with calc-embed but I don't know how to use it here.

  | G | 7*(-2:5)+5*(4:7)                | \frac{2}{35}  |
  | H | 1:3 + 1:6 + 5:12                | \frac{11}{12} |
  #+TBLFM: $3='(calc-eval $2)

Desired input

   | G | 7* \frac{-2}{5} + 5 * \frac{4}{7}      | \frac{2}{35}  |
   | H | \frac{1}{3}+ \frac{1}{6}+ \frac{5}{12} | \frac{11}{12} |
  #+TBLFM: $3='(calc-eval $2)

Update I forgot to mention just in case someone missed it, calc-embedded need to be activated, calc-embedded-activate

Answer 1

Have the region -2:5 in a buffer.

C-0 C-x * e activates calc's embedded mode on that region. Activate calc-latex-language by typing d L if not already done. The marked text has been replaced by \frac{-2}{5}. Key sequence C-x * e deactivates embedded mode.

So I think it's possible to write a command that checks for fractions like -2:5 in a column of an org-table and then applies calc's conversion as pointed out above.