Question

sum of two rational numbers is -4/9. if one of them is -13/6, then find the other.
with explanation
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Answer 1

Answer:

$let \: the \: othe \: number \: be \: x \\ according \: to \: te \: question \\ \binom{ - 13}{6} \: \: \: + x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \binom{ - 4}{9} \\ x \: \: \: \: \binom{ - 4}{9} + \binom{ - 13}{6} \: \\ x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \binom{ - 8 + 39}{18} \\ x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \binom{31}{18}$

Answer 2

Assume that one of the rational number were 'x'.

x + (-13/6) = -4/9

x = -4/9 + 13/6

x = (-4*2+13*3)/18

x = (-8+39)/18

x = 31/18

Thus, the other number is 31/18.