Which of the following pairs represent the same rational number?

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

The parts of the given question are solved below:

(i) We have,

Now,

We have to check if the two given are the same rational number.

Thus,

And,

Clearly,

We can see that,

Hence,

It does not represent the same rational number.

(ii) We have,

Now,

We have to check if the two given are the same rational number.

Thus,

And,

Clearly,

We can see that,

Hence,

It represents the same rational number.

(iii) We have,

Now,

We have to check if the two given are the same rational number.

Thus,

Clearly,

We can see that,

Hence,

It represents the same rational number.

(iv) We have,

Now,

We have to check if the two given are the same rational number.

Thus,

Clearly,

We can see that,

Hence,

It represents the same rational number.

(v) We have,

Now,

We have to check if the two given are the same rational number.

Thus,

And,

Clearly,

We can see that,

Hence,

It can be concluded that,

It represent the same rational number.

(vi) We have,

Now,

We have to check if the two given are the same rational number.

Thus,

And,

Clearly,

We can see that,

Hence,

It can be concluded that,

It does not represent the same rational number.

(vii) We have,

Now,

We have to check if the two given are the same rational number.

Thus,

And,

Clearly,

We can see that,

Hence,

It does not represent the same rational number.