Question

The standard form of the rational number $\frac{68}{-119}$ is

• A. $\frac{4}{7}$
• B. $\frac{5}{7}$.
• C. $\frac{-4}{7}$.
• D. $\frac{-5}{7}$.

Answer 1

The correct option is C $\frac{-4}{7}$.

$\frac{68}{-119}=\frac{68\times (-1)}{(-119)\times (-1)}=\frac{-68}{119}$
The greatest common divisor of 68 and 119 is 17.
Now, dividing the numerator and denominator of $\frac{-68}{119}$ by 17, we get
$\frac{-68}{119}=\frac{(-68)÷17}{\left(119\right)÷11}=\frac{-4}{7}$
Hence the standard form of $\frac{68}{-119}$ is $\frac{-4}{7}$.