Question

a man gave 2/5 of his property to his son, 1/3 of his property to his daughter, and the rest of his wife. what fraction of the property did the wife get?

Answer 1

Son = 2/5

daughter = 1/3

wife = 1 - 2/5 - 1/3 = 15/15 - 6/15 - 5/15 = 4/15

.

Answer: His wife got 4/15 of the property.

Answer 2

$let \: his \: total \: property \: be \: x \\ \frac{2x}{5} to \: son \\ \frac{x}{3} to \: daughter \: \: rest \: to \: his \: wife \\ let \: her \: wife \: get \: y \\ \: so \\ \frac{2x}{5} + \frac{x}{3} + y = x \\ \frac{6x + 5x + 15y}{15} = x \\ 11x + 15y = 15x \\ 15y = 4x \\ y = \frac{4x}{15}$