If Vusi owns \( 2 / 5 \) 's of the total shareholding of the People Plus company and he gives away \( 1 / 3 \) of his shareholding to his daughter, then what fraction of the total shareholding does Vusi now own?

Vusi initially owns \( \frac{2}{5} \) of the total shareholding. If he gives away \( \frac{1}{3} \) of his shareholding, we first need to calculate how much he gives away: \[ \text{Shares given away} = \frac{1}{3} \times \frac{2}{5} = \frac{2}{15} \] Now, we subtract this amount from his original shareholding: \[ \text{Remaining shares} = \frac{2}{5} - \frac{2}{15} \] To combine these fractions, we need a common denominator, which is 15: \[ \frac{2}{5} = \frac{6}{15} \] Now, subtracting: \[ \frac{6}{15} - \frac{2}{15} = \frac{4}{15} \] So, Vusi now owns \( \frac{4}{15} \) of the total shareholding of the People Plus company. Isn't it interesting how fractions can represent ownership and how changing one part can alter the whole equation? You can visualize shareholding as a delicious cake where giving away slices can impact your share of the dessert!