[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \bf \: - \frac { 16 } { 25 } \div ( - \frac { 4 } { 5 } ) \\ \\ \\ \sf \: Divide \: -\frac{16}{25} \: by \: -\frac{4}{5} \: by \: multiplying \: \\ \sf -\frac{16}{25} \: by \: the \: reciprocal \: of \: -\frac{4}{5}. \\ \\ \\ \bf \: = \: -\frac{16}{25}\left(-\frac{5}{4}\right) \\ \\ \\ \sf \: Multiply \: -\frac{16}{25} \: by \: -\frac{5}{4} \: \\ \sf \: by \: multiplying \: the \: numerator \: by \: \\ \sf \: the \: numerator \: and \: the \: denominator \: \\ \sf \: by \: the \: denominator. \\ \\ \\ \bf \: = \frac{-16\left(-5\right)}{25\times 4} \\ \\ \\ \sf \: Carry \: out \: the \: multiplications \: in \: \\ \sf \: the \: fraction \: \frac{-16\left(-5\right)}{25\times 4}. \\ \\ \\ \bf \: = \frac{80}{100} \\ \\ \\ \sf \: Reduce \: the \: fraction \: \frac{80}{100} \: to \: \\ \sf \: its \: lowest \: terms \: by \\ \sf \: extracting \: and \: cancelling \: out \: 20. \\ \\ \\ = \huge \boxed{\boxed{ \bf \frac{4}{5}=0.8}}[/tex]
