The sum of two Rational numbers is 1/2 and one of the numbers is -8/19 then the second number is ………………
A) 1/4
B) 3/31
C) 5/58
D) 35/38
Answered Feb 05, 2023
Correct option is (D) 35/38
Let the second number be x.
\(\therefore\) x + \((\frac{-8}{19})\) = \(\frac{1}{2}\)
\(\Rightarrow\) x = \(\frac{1}{2}\) - \((\frac{-8}{19})\) = \(\frac{1}{2}\) + \(\frac{8}{19}\) \(=\frac{19+8\times2}{38}\) \(=\frac{19+16}{38}\) \(=\frac{35}{38}.\)
Correct option is D) 35/38
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Correct option is (D) \(\frac{a+b}{2}\) \(\frac{a+b}{2}\) is a rational number lying between two rational numbers a and b.
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