Explanation:
\(-\frac{6}{7}\)
The denominator of the rational number \(-\frac{102}{119}\) is positivr.
In order to write the rational number in standerd form, divide its numerator and denominator by the HCF of 102 and 119.
HCF of 102 and 119 = 17
Dividing the numerator and denominator of \(-\frac{102}{119}\) by 17,
We have:
\(-\frac{102}{119}=-\frac{102\div17}{119\div17}=-\frac{6}{7}\)
Thus the standard form of \(-\frac{102}{119}\text{ is }-\frac{6}{7}\)
Hence, the correct answer is option (a).