Chrisged Chrisged
  • 02-07-2018
  • Mathematics
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each volume of an encyclopedia is 2 1/3 in wide how many volumes will fit on a 18 inch wide Shelf

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jdoe0001 jdoe0001
  • 02-07-2018
namely how many times does 2⅓ go into 18.

well, let's firstly convert the mixed fraction to "improper" and then get the quotient.

[tex]\bf \stackrel{mixed}{2\frac{1}{3}}\implies \cfrac{2\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{7}{3}} \\\\\\ \cfrac{\quad 18\quad }{\frac{7}{3}}\implies \cfrac{\quad \frac{18}{1}\quad }{\frac{7}{3}}\implies \cfrac{18}{1}\cdot \cfrac{3}{7}\implies \cfrac{84}{7}\implies 12[/tex]
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