Question

Which of the two rational numbers is greater in each of the following pairs?

(i) (7/9) or (-5/9)

(ii) (-6/11) or (5/11)

(iii) (-15/4) or (-17/4)

Answer 1

(i) (7/9) or (-5/9)

Since both denominators are same therefore compare the numerators.

We have,

= 7 > -5

∴ (7/9) > (-5/9)

(ii) (-6/11) or (5/11)

Since both denominators are same therefore compare the numerators.

We have,

= -6 < 5

∴ (-6/11) < (5/11)

(iii) (-15/4) or (-17/4)

Since both denominators are same therefore compare the numerators.

We have,

= -15 > -17

∴ (-15/4) > (-17/4)