The capacitance in series circuit is
.
Solve for
.
Consider
.
Multiply each side by
.

Cancel common terms.
\
Divide each side by
.

Cancel common terms.
\
Subtract
from each side.

The L.C.M of
and
is
.

Multiply each side by
.

Multiply each side by
.

Divide each side by
.
.
The value of
.