Respuesta :

Answer:

20.25

Step-by-step explanation:

Since 4/6 is the same as 0.25 and 20 doesn't need to be changed, 20 4/16 is equal to 20.25 in decimal form
Hope this helps :)

Lenvy

Answer:

20.25

Step-by-step explanation:

[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a\frac{b}{c}=\frac{a\cdot \:c+b}{c}[/tex]

[tex]20\frac{4}{16}=\frac{20\cdot 16+4}{16}=\frac{324}{16}[/tex]

[tex]\mathrm{Write\:the\:problem\:in\:long\:division\:format}[/tex]

[tex]16\overline{|\smallspace324}\:[/tex]

[tex]\mathrm{Divide\;32\;by\;16\;to \;get\;2}[/tex]

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace2\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 16\overline{|\smallspace324}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace3\emptyspace2}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\emptyspace0\emptyspace4\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]\mathrm{Divide\;4\;by\;16\;to \;get\;0}[/tex]

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace2\emptyspace0.\:\:\:\:\:\:\:\:\:\:\:\\ 16\overline{|\smallspace324.0}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace3\emptyspace2}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\emptyspace0\emptyspace4\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace4\emptyspace0\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]\mathrm{Divide\;80\;by\;16\;to \;get\;5}[/tex]

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace2\emptyspace0.\emptyspace2\emptyspace5\:\:\:\\ 16\overline{|\smallspace324.0\cdot \:0}\:\:\:\:\:\:\:\\ \underline{\emptyspace3\emptyspace2}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \emptyspace0\emptyspace4\:\:\:\:\:\:\:\:\:\:\:\:\\ \underline{\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \emptyspace4\emptyspace0\:\:\:\:\:\:\:\:\:\:\\ \underline{\emptyspace3\emptyspace2}\:\:\:\:\:\/\\\emptyspace8\emptyspace0\:\\ \underline{\emptyspace8\emptyspace0}\:\\\ \emptyspace0\end{matrix}[/tex]

[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{324}{16}\:\mathrm{is}\:20.25[/tex]

~Lenvy~