MCQ
$-\frac{102}{119}$ is standard form is:
- ✓$-\frac{6}{7}$
- B$\frac{6}{7}$
- C$-\frac{6}{17}$
- DNone of these
✓
Answer
Correct option: A.
$-\frac{6}{7}$
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 $(a).$
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