Question

the quotient that you get after dividing the reciprocal of the sum of -4/5 + 2/5 by the sum is the multiplicative identity true or false

Answer 1

$$\begin{gathered} \mathrm{Sum}=-\frac{4}{5}+\frac{2}{5}=-\frac{2}{5} \\ \mathrm{Reciprocal}\mathrm{of}\mathrm{sum}=-\frac{5}{2} \\ \mathrm{Now},\frac{\mathrm{Reciprocal}\mathrm{of}\mathrm{sum}}{\mathrm{Sum}}=-\frac{5}{2}÷-\frac{2}{5} \\ =-\frac{5}{2}\times -\frac{5}{2} \\ =\frac{25}{4}\ne 1 \\ \mathbf{So}\mathbf{,}\mathbf{}\mathbf{the}\mathbf{}\mathbf{given}\mathbf{}\mathbf{statement}\mathbf{}\mathbf{is}\mathbf{}\mathbf{false}\mathbf{.} \end{gathered}$$