Answer
Each child will receive 187,500
Work Step by Step
The estate is valued at 750,000. Only three-fourths of the estate is to be divided between children. So, we multiply 750,000 by $\frac{3}{4}$ to find out how much will be divided between children.
750000 $\times$ $\frac{3}{4}$ = $\frac{187500\ \times\ 4\ \times\ 3}{4}$
Cancel the common factors between the numerator and the denominator to obtain:
187500 $\times$ 3 = 562,500
562,500 will be divided between 3 children.
To find out how much will each of them receive, we divide 562500 by 3
$\frac{562500}{3}$ = $\frac{187500\ \times\ 3}{3}$ = 187,500 dollars