# Q 6.     Which of the following pairs represent the same rational number?(i)                      (ii)                (iii)                     (iv)   (v)                  (vi)                   (vii)

To compare we multiply both numbers with denominators:

(i) We have

Here, they are equal but are in opposite signs hence,   do not represent the same rational numbers.

(ii)  We have

So, they represent the same rational number.

(iii)  We have

Here, Both represents the same number as these minus signs on both numerator and denominator of   will cancel out and gives the positive value.

(iv)  We have

So, they represent the same rational number.

(v)  We have

So, they represent the same rational number.

(vi)  We have

So, They do not represent the same rational number.

(vii)  We have

Here, the denominators of both are the same but .

So,  do not represent the same rational numbers.

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