How do you solve #\frac { 9} { 12} = \frac { p } { 36}#?

1 Answer
seol
Nov 29, 2016

#p=27#

Explanation:

requirements
solve #9/12=p/36#

applied concept
proportion cross multiply #a/b=x/c# solve for #x# #\rArrac=xb\rArrx=(ac)/b#

calculations
#9/12=p/36# cross multiply #9(36)=p(12)#
simplify #324=p(12)#
divide both sides by 12 #324/\color(red)(12)=(p(\cancel(12)))/\cancel(\color(red)(12))#
simplify #27=p#

check
#9/12\stackrel{?}{=}(27)/36#
#9/12\times3/3=27/36\leftrightarrow27/36# is a multiple of #9/12\color(green)(\sqrt())#

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