well, we know the fractions each of them are taking from the piece of wood, which is fraction format, now if we wish to make those fraction an equivalent integer value, we can simply find the LCD of all denominators and multiply each by it, in this case the LCD is 10, so if we multiply them by 10, we'd have the integer version of the fractions.
[tex]\stackrel{Jodie}{\cfrac{1}{2}}~~ + ~~\stackrel{Sama}{\cfrac{2}{5}}~~ + ~~\stackrel{Kay}{\cfrac{1}{10}}~~ = ~~\stackrel{whole}{1} \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{10}}{10\left( \stackrel{Jodie}{\cfrac{1}{2}}~~ + ~~\stackrel{Sama}{\cfrac{2}{5}}~~ + ~~\stackrel{Kay}{\cfrac{1}{10}} \right)~~ = ~~10(1)} \\\\\\ \stackrel{Jodie}{5}~~ + ~~\stackrel{Sama}{4}~~ + ~~\stackrel{Kay}{1}~~ = ~~\stackrel{whole}{10}\impliedby \textit{ratio of 5 : 4 : 1}[/tex]
