Mmm, banana bread

Algebra Level 2

Hector's banana bread recipe requires \(2 \frac {3}{4}\) cups of flour, and he has already added \(\frac {2}{3}\) cups of flour. The amount of flour Hector still needs to add, can be written as \(\frac {a}{b}\), where \(a\) and \(b\) are coprime positive integers. What is the value of \(a+b\)?

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