Question

Which of the two rational numbers is greater in the given pair?

$\frac{ - 1}{3} or \: \frac{4}{ - 5}$
$\frac{9}{ - 13} or \frac{7}{ - 12}$
$\frac{4}{ - 5} or \frac{ - 7}{10}$
$\frac{ - 12}{5} or - 3$
​

Answer 1

Step-by-step explanation:

The fraction can be expressed as

−9×−1

7×−1

=

9

−7

The LCM of the denominators 9 and 8 is 72.

So by multiplying with the denominator we get,

9

−7

=

9×8

−7×8

=

72

−56

And,

8

−5

=

8×9

−5×9

=

72

−45

Since,

72

−56

<

72

−45

∴

8

−5

>

−9

7

.