Let x be multiplied by \(\frac{-8}{39}\) to get \(\frac{1}{26}\)
It can be written as,
\(\frac{-8}{39}\times\) \(\text{x}=\frac{1}{26}\)
\(\Rightarrow\) \(\text{x}=\frac{1}{26}\div\frac{1}{26}\)
\(\Rightarrow\) \(\text{x}=\frac{1}{26}\times\frac{39}{-8}\)
\(\Rightarrow\) \(\text{x}= \frac{1\times39}{26\times-8}\)
\(\Rightarrow\) \(\text{x}=\frac{39}{-208}=\frac{39\times-1}{-208\times-1}=\frac{-39}{208}\)
\(\Rightarrow\) \(\text{x}=\frac{-39}{208}=\frac{-39\div13}{208\div13}=\frac{-3}{16}\)
Hence,
it should be multiplied by is \(\frac{-3}{16}\)