If a/b = 2/3, b/c = 1, c/d = 1/2, d/e = 3 and e/f = 1/2 then what is the value of abc/def?

If a/b = 2/3, b/c = 1, c/d = 1/2, d/e = 3 and e/f = 1/2 then what is the value of abc/def?




Solution -

3/8
(a/b)*(b/c)*(c/d)=(2/3)*(1)*(1/2)=a/d=1/3
(b/c)*(c/d)*(d/e)=(1)*(1/2)*(3)=b/e=3/2
(c/d)*(d/e)*(e/f)=(1/2)*(3)*(1/2)=c/f=3/4
multiply the three=a.b.c/(d.e.f)=3/8