breyonnachilcu1
breyonnachilcu1 breyonnachilcu1
  • 16-08-2018
  • Mathematics
contestada

A stack of 2/5 inch wide Sheetrock has a height of 16 4/5 inches. How many sheets of Sheetrock are in the stack?

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jdoe0001 jdoe0001
  • 16-08-2018

namely how many times does 2/5 go into 16⅘.


let's first convert the mixed fraction to an improper, and then get their quotient.


[tex] \bf \stackrel{mixed}{16\frac{4}{5}}\implies \cfrac{16\cdot 5+4}{5}\implies \stackrel{improper}{\cfrac{84}{5}}
\\\\\\
\cfrac{84}{5}\div \cfrac{2}{5}\implies \cfrac{84}{5}\cdot \cfrac{5}{2}\implies \cfrac{84}{2}\cdot \cfrac{5}{5}\implies \cfrac{42}{1}\cdot 1\implies 42 [/tex]

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