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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