If a/b = 1/3, b/c = 1/2, c/d = 6/7,e/f = 14/9 and d/e = 7/2, then what is the value of abc/def ?

Question

If
a/b = 21/34;
b/c = 121/120;
c/d = 17/77;
e/f = 11/15
and
d/e = 14/17
then what is the value of
(abc/def)*2?

Answer 1

Answer 2

Answer is 1. Solution is as given below. a/b*b/c*c/d= abc/bcd= 1/3*1/2*6/7= 1/7. c/d*d/e*e/f= cde/def= 6/7*7/2*14/9 =14/3. abc/bcd*cde/def= abc/def*cde/bcd= 1/7*14/3= 2/3. abc/def*e/b =2/3. [b/c =1/2. , c/d=6/7, c=6d/7 , b/c =7b/6d= 1/2 , 7b/3d=1, b=3/7d, b/e=3d/7e, d/e=7/2] coming to our main step again, abc/def=2/3*b/e. =2/3*3/7*d/e= 2/7*7/2=1