Question

If a = 2/3b, b = 2/3c, and c = 2/3d, what part of d is b?

Answer 1

substitute eqn.(c) in eqn(b) , then

b=2/3×2/3×d
b=4/9×d
voila!!

Answer 2

Answer:  Four-ninth part of d is b.

Step-by-step explanation:  We are given four real numbers a, b, c and d as follows :

$a=\dfrac{2}{3},~~b=\dfrac{2}{3}c,~~c=\dfrac{2}{3}d.$

We are to find the part of d that is equal to b.

According to the given information, we have

$b\\\\\\=\dfrac{2}{3}\times\dfrac{2}{3}d\\\\\\=\dfrac{4}{9}d\\\\\\\Rightarrow b=\dfrac{4}{9}d.$

Thus, four-ninth part of d is b.