Question

Add the following rational numbers:

(i) -5/7 and 3/7

(ii) -15/4 and 7/4

(iii) -8/11 and -4/11

(iv) 6/13 and -9/13​

Answer 1

Solution:

Since the denominators are of same positive numbers we can add them directly

(i) -5/7 + 3/7 = (-5+3)/7 = -2/7

(ii) -15/4 + 7/4 = (-15+7)/4 = -8/4

Further dividing by 4 we get,

-8/4 = -2

(iii) -8/11 + -4/11 = (-8 + (-4))/11 = (-8-4)/11 = -12/11

(iv) 6/13 + -9/13 = (6 + (-9))/13 = (6-9)/13 = -3/13

Answer 2

$\large\rm \underline{Required \: Solution:}$

Since the denominators are of same positive numbers we can add them directly

(i) -5/7 + 3/7

= (-5+3)/7

= -2/7

(ii) -15/4 + 7/4

= (-15+7)/4 = -8/4

Further dividing by 4 we get,

-8/4 = -2

(iii) -8/11 + -4/11

= (-8 + (-4))/11

= (-8-4)/11 = -12/11

(iv) 6/13 + -9/13

= (6 + (-9))/13

= (6-9)/13

= -3/13

Thank you!

@itzshivani