Question

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

Answer 1

`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`

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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`

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