Question

Arrange these rational numbers in ascending order 7/8, 2/-3, -5/12 ​

Answer 1

Let's make numbers with positive denominator

∴

−12

5

=

(−12×(−1))

(5×(−1))

=

12

−5

∴

−24

9

=

(−24×(−1))

(9×(−1))

=

24

−9

LCM of 4,12,16 and 24 is 48

So,

4

−3

=

(4×12)

(−3×12)

=

48

−36

16

−7

=

(16×3)

(−7×3)

=

48

−21

12

−5

=

(12×4)

(−5×4)

=

48

−20

24

−9

=

(24×2)

(−9×2)

=

48

−18

Clearly,

48

−36

<

48

−21

<

48

−20

<

48

−18

Hence,

4

−3

<

16

−7

<

−12

5

<

−24

9