Weight of tomatoes Gowri purchased = \(\frac{7}{2}\) kg
Weight of Brinjal purchased = \(\frac{3}{4}\) kg
Weight of Onion purchased = \(\frac{5}{4}\) kg
Total weight of the vegetables
= \(\frac{7}{2} + \frac{3}{4} + \frac{5}{4} kg\)
= \(\frac{14 + 3 + 5}{4} kg\)
= \(\frac{22}{4} kg\)
= \(\frac{11}{2} kg\)