Question

the sum of two rational numbers is -4. if one of them is -11/7, find the other​

Answer 1

Let the other (required) rational number be x

$\sf - \dfrac{11}{7} + x = - 4$

$\sf \: x = - 4 + \dfrac{11}{7}$

$\sf \: x = \dfrac{ - 28 + 11}{7} = \bf- \dfrac{17}{7}$

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Verification :-

- 11/7 + (- 17/7) = -4 [To prove]

- 11/7 - 17/7 = -4

Having same denominator thus ;;

(-11 - 17)/7 = -4

-28/7 = -4

-4 = -4

L.H.S = R.H.S [H.P]