Question

Write the mixed number as a decimal.

80 2/5
Enter the correct answer in the box.

Answer 1

Answer:

80.4

Step-by-step explanation:

$\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a\frac{b}{c}=\frac{a\cdot \:c+b}{c}$

$80\frac{2}{5}=\frac{80\cdot 5+2}{5}=\frac{402}{5}$

$\mathrm{Now\;Divide \;402\;by\;5}$

$\mathrm{Write\:the\:problem\:in\:long\:division\:format}$

$5\overline{|\smallspace402}\:$

$\mathrm{Divide\;40\;by\;5\;to\;get\;8}$

$\begin{matrix}\:\:\:\:\:\:\emptyspace8\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 5\overline{|\smallspace402}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\underline{\emptyspace4\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace0\emptyspace2\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}$

$\mathrm{Divide\;2\;by\;5\;to\;get\;0}$

$\begin{matrix}\:\:\:\:\:\:\emptyspace8\emptyspace0.\:\:\:\:\:\:\:\:\:\:\:\\ 5\overline{|\smallspace402.0}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\underline{\emptyspace4\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace0\emptyspace2\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\end{matrix}$

$\mathrm{Divide\;20\;by\;5\;to\;get\;4}$

$\begin{matrix}\:\:\:\:\:\:\emptyspace8\emptyspace0.\emptyspace4\:\:\:\:\:\:\:\:\:\\ 5\overline{|\smallspace402.0}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\underline{\emptyspace4\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \emptyspace0\emptyspace2\:\:\:\:\:\:\:\:\:\:\:\:\\ \underline{\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\\ \underline{\emptyspace2\emptyspace0}\:\:\:\:\:\:\:\:\:\:\\ \emptyspace0\:\:\:\:\:\:\:\:\:\:\end{matrix}$

$\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{402}{5}\:\mathrm{is}\:80.4$

~Lenvy~

Answer 2

Answer:

80.4

Step-by-step explanation:

2/5 = 0.4

80 + 0.4 = 80.4

  Another way converting the mixed number in improper fraction:

80 (2/5) = 402/5 = 80.4