Question

which of the two rational numbers is Greater in each of the following pairs...5/-9 or 3/7
​

Answer 1

Step-by-step explanation:

First we write each of the given numbers with a positive denominator.

−13

9

=

(−13×−1)

(9×(−1))

=

13

−9

−12

7

=

(−12×−1)

(7×(−1))

=

12

−7

The LCM of the denominators 13 and 12 is 156

∴

13

−9

=

(13×12)

(−9×(12))

=

156

−108

and

12

−7

=

(12×13)

(−7×(13))

=

156

−91

Now, −108<−91

⇒

156

−108

<

156

−91

⇒

13

−9

<

12

−7

⇒

−13

9

<

−12

7

∴

−12

7

is greater