Question

Separate positive and negative rational numbers from the following rational numbers:
$\frac{-5}{-7},\frac{12}{-5},\frac{7}{4},\frac{13}{-9},0,\frac{-18}{-7},\frac{-95}{116},\frac{-1}{-9}$

Answer 1

Given rational numbers can be rewritten as:
$\frac{5}{7},\frac{-12}{5},\frac{7}{4},\frac{-13}{9},0,\frac{18}{7},\frac{-951}{16},\frac{1}{9}$

Positive rational numbers $=$ Both numerator and denominator positive or negative (i.e having same sign)

Negative Rational Numbers $=$ Both numerator and denominator have different signs.
Thus, positive rational numbers are:

$\frac{5}{7},\frac{7}{4},\frac{18}{7},\frac{1}{9},0$

or, $\frac{-5}{-7},\frac{7}{4},0,\frac{-18}{-7},\frac{-6}{-9}$
Negative rational numbers are:
$\frac{-12}{5},\frac{-13}{9},\frac{-951}{16}$

or, $\frac{12}{-5},\frac{13}{-9},\frac{-951}{16}$