Question

Find the ratio compounded of the duplicate ratio 2:3 the reciprocal ratio 16:21 and the sub duplicate ratio of 49:64

Answer 1

Duplicate ratio of 2:3 is 4:9
reciprocal ratio of 16:21 is 21:16
sub duplicate ratio of 49:64 is 7:8

ratio needed is
(4/9)*(21/16)*(7/8)=
=(4*21*7)/(9*16*8)
=147/288
=49/96