Question

Write the mixed number as a decimal.

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

Answer 1

80.4

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

Answer 2

80.4

Explanation:

`\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a(b)/(c)=(a\cdot \:c+b)/(c)`

`80(2)/(5)=(80\cdot 5+2)/(5)=(402)/(5)`

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

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

`5\overline\:`

`\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}\:(402)/(5)\:\mathrm{is}\:80.4`

~Lenvy~