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Help! with these its for a test!! and yes i dont understand math :,)

Help! with these its for a test!! and yes i dont understand math :,)-example-1
User Ellington
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\huge \boxed{\mathfrak{Question} \downarrow}

  • - 16/25 ÷ (-4/5)


\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}


\bf \: - \frac { 16 } { 25 } / ( - \frac { 4 } { 5 } ) \\ \\ \\ \sf \: Divide \: -(16)/(25) \: by \: -(4)/(5) \: by \: multiplying \: \\ \sf -(16)/(25) \: by \: the \: reciprocal \: of \: -(4)/(5). \\ \\ \\ \bf \: = \: -(16)/(25)\left(-(5)/(4)\right) \\ \\ \\ \sf \: Multiply \: -(16)/(25) \: by \: -(5)/(4) \: \\ \sf \: by \: multiplying \: the \: numerator \: by \: \\ \sf \: the \: numerator \: and \: the \: denominator \: \\ \sf \: by \: the \: denominator. \\ \\ \\ \bf \: = (-16\left(-5\right))/(25* 4) \\ \\ \\ \sf \: Carry \: out \: the \: multiplications \: in \: \\ \sf \: the \: fraction \: (-16\left(-5\right))/(25* 4). \\ \\ \\ \bf \: = (80)/(100) \\ \\ \\ \sf \: Reduce \: the \: fraction \: (80)/(100) \: to \: \\ \sf \: its \: lowest \: terms \: by \\ \sf \: extracting \: and \: cancelling \: out \: 20. \\ \\ \\ = \huge \boxed{\boxed{ \bf (4)/(5)=0.8}}

User Danstan
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