Question

Robert found an old game in his closet and wanted to play it however a portion of the spinner shown at the right could not be read find the missing proportion of the spinner for Robert .

Answer 1

We know that the sum of all the portions have to be equal to 1. Let x be the missing part, then we have that:

`\begin{gathered} x+(1)/(12)+(1)/(9)+(1)/(6)+(1)/(4)+(1)/(3)=1 \\ x+(9+12)/(108)+(4+6)/(24)+(1)/(3)=1 \\ x+(21)/(108)+(10)/(24)+(1)/(3)=1 \\ x+(7)/(36)+(5)/(12)+(1)/(3)=1 \\ x+(7)/(36)+(15+12)/(36)=1 \\ x+(7)/(36)+(27)/(36)=1 \\ x+(34)/(36)=1 \\ x+(17)/(18)=1 \\ x=1-(17)/(18) \\ x=(1)/(18) \end{gathered}`

Therefore the missing portion is 1/18.