A horizontal bar ABCDE is fixed at end A and has axial forces acting at points $B,C,D,$ and $E$ as shown below. The magnitudes of these axial forces are not given, but under the action of these forces the bar undergoes axial deformations.

If we know that ${}_B=0\mathrm{.}005$ in$.,{}_{\frac{C}{B}}=-0\mathrm{.}002$ in$.,{}_D=-0\mathrm{.}0015$ in$.,$ and ${}_{\frac{E}{D}}=-0\mathrm{.}008$ in$.,$ calculate the absolute deformations ${}_C,$ and ${}_E$ and the relative deformations ${}_{\frac{C}{A}},{}_{\frac{D}{C}},$ and ${}_{\frac{E}{C}}.$

Enter the relative deformation ${}_{\frac{E}{C}}$ in in$.($inches$)$ correct to $3$ significant digits below. Make sure to

include the sign if it is negative. $($The answer is not $0\mathrm{.}003$ in$)$