Question

compare the following rational number 5/7 , 10/-6​

Answer 1

Step-by-step explanation:

The numbers that are in the form of

p

q

, where p and q are integers and q ≠0, are called rational numbers.

For example:

Five positive rational numbers:

5

7

,

−3

−4

,

7

8

,

−14

−15

,

5

9

Five negative rational numbers:

−3

7

,

−3

8

,

8

−9

,

−19

25

,

8

−25

Yes, there is a rational number that is neither positive nor negative, i.e. zero (0).

Answer 2

$\huge\color{orange}\boxed{\colorbox{black}{\tt{☣ANSWER☣}}}$

First make them like fractions :

$\frac{5}{7} \implies \frac{5 \times 6}{7 \times 6} \implies \frac{30}{42}$

$\frac{10}{ - 6} \implies \frac{ - 10 \times 7}{6 \times 7} \implies \frac{ - 70}{42}$

Now,

$\frac{30}{42} < \frac{ - 70}{42}$

So,

$\frac{5}{7} < \frac{ - 10}{6}$

ALTER :

A negative integer is always smaller than positive integer so,

$\frac{5}{7} < \frac{ - 10}{6}$