Question

the sum of two rational numbers is 4/9, if one of them is -3/11, find the other

Answer 1

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Sum of two rational numbers=$\large \: \frac{4}{9}$

One of the rational numbers=$\large \: \frac{ - 3}{11}$

Let the other rational number be x

$\sf \large \frac{ - 3}{11} + x = \frac{4}{9} \\ \\ \sf \implies \: x = \frac{4}{9} - \frac{3}{11}$

Take L.C.M. to make the denominators same.

L.C.M. of 9 and 11=99

$\implies \frac{4}{9} \times \frac{11}{11} = \frac{44}{99} \\ \\ \implies \frac{3}{11} \times \frac{9}{9} = \frac{27}{99} \\ \\ \implies \frac{44 - 27}{99} = \frac{17}{99}$

So the other name is $\large \frac{17}{99}$

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Answer 2

Answer:

given

sum of two rational numbers are 4/9

one of them is -3/11

let another number be x

we know that

x+(-3/11)=4/9

x-3/11=4/9

x =4/9+3/11

x=71/99