desi2517 desi2517
  • 14-08-2018
  • Mathematics
contestada

A stack of 4/5 inch wide Sheetrock has a height of 28 4/5 how many sheer rock are in the stack?

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jdoe0001 jdoe0001
  • 14-08-2018

namely how many times does 4/5 go into 28⅘, well is just their quotient.


let's firstly convert the mixed fraction to improper, and then divide.


[tex] \bf \stackrel{mixed}{28\frac{4}{5}}\implies \cfrac{28\cdot 5+4}{5}\implies \stackrel{improper}{\cfrac{144}{5}}
\\\\\\
\cfrac{\quad \frac{144}{5}\quad }{\frac{4}{5}}\implies \cfrac{144}{5}\cdot \cfrac{5}{4}\implies \cfrac{144}{4}\cdot \cfrac{5}{5}\implies 36 [/tex]

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