Answer:
\[\because \] \[-\frac{11}{20}\] + (a rational number) \[=-\frac{4}{5}\] \[\therefore \] The required rational number \[=-\frac{4}{5}-\left( \frac{-11}{20} \right)\] \[=-\frac{4}{5}+\frac{11}{20}\] \[\left[ \because \,\,Additive\text{ in}verse\text{ }of\frac{-11}{20}is\frac{11}{20} \right]\] \[=\frac{-4\times 4+11}{20}\] \[[\because \,\,LCM\,of\,5\,and\,20\,is\,20]\] \[=\frac{-16+11}{20}\] \[=\frac{-5}{20}\,\,or\,\,\frac{-1}{4}\] Thus, the other rational number\[=-\frac{1}{4}\].
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