Question

What is the sum of rational Numbers-8/19 and -4/57

Answer 1

$Let \: x = \frac{-8}{19} \:and \: y = \frac{-4}{57} \\are \: two \:rational \: numbers$

$Sum \: of \: x \: and \: y \\= x + y \\= \frac{-8}{19} + \frac{-4}{57}\\= \frac{-8}{19} - \frac{4}{57}\\= \frac{-8\times 3}{19\times 3} - \frac{4}{57}\\= \frac{-24}{57} - \frac{4}{57}\\=\frac{ -24-4}{57} \\= \frac{-28}{57}$

Therefore.,

$\red { Sum \: of \: given \: two \: numbers }$

$\green {= \frac{-28}{57}}$

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