Answer:
168000
Step-by-step explanation:
5/14 to the son.
that leaves 9/14 of the total.
these 9/14 we need to split into 1/3rds, as 2/3 of these 9/14 go to the daughter, and then the remaining 1/3 of these 9/14 to the wife.
how do we do that ?
well, here it is simple, as we see right away that the numerator 9 can be easily split into 1/3rds (9/3 = 3).
but in general by multiplying. so 2/3 of 8/14 is
9/14 × 2/3 = 9×2 / 14×3 = 3×2 / 14 = 6/14
and then little surprising 1/3 is
9/14 × 1/3 = 9 / 14×3 = 3/14
now, we know, these 3/14 are 36000.
what we need to know is how much is 14/14 or 1/1 : the whole amount.
well, the easiest way in my opinion is now to bring it to 1/14 (by dividing by the numerator 3) and then multiply it by 14 (the denominator) to bring the sum to the whole (14/14).
it in total, multiply it with the reverse fraction : 14/3
36000 × 14/3 = 12000×14 = 168000
