(i) Given (-6/-13), (7/13)
Here denominator is same therefore compare the numerator,
Thus (-6/-13) < (7/13)
(ii) Given (16/-5), 3
We know that 3 is a whole number with positive sign
Therefore (16/-5) < 3
(iii) Given (-4/3), (8/-7)
Consider (-4/3)
Multiply both numerator and denominator by 7 then we get
(-4/3) × (7/7) = (-28/21)…… (1)
Now consider (8/-7)
Multiply both numerator and denominator by 3 we get
(8/-7) × (3/3) = (-24/21)…… (2)
The denominator is same in equation (1) and (2) now we have to compare the numerator, thus (-4/3) < (8/-7)
(iv) Given (-12/5), (-3)
Now consider (-3/1)
Multiply both numerator and denominator by 5 we get
(-3/1) × (5/5) = (-15/5)
The denominator is same in above equation, now we have to compare the numerator, thus (-12/5) > (-3).