Question

If H.C.F and L.C.M. of $\frac{8}{9},\frac{16}{81},\frac{2}{3}and\frac{10}{27}$ are $\frac{a}{b}and\frac{c}{d}$ respectively,then find (b-c)

Answer 1

H.C.F. of given fractions = $\frac{H.C.Fof(2,8,16,10)}{L.C.M.of(3,9,81,27)}=\frac{2}{81}$
L.C.M. of given fractions = $\frac{L.C.Mof(2,8,16,10)}{H.C.F.of(3,9,81,27)}=\frac{80}{3}$