Rachel paints 5 (1)/(2)square meters of wall space in (1)/(3)hour. What wall space can she paint in 1 hour?

Question

Rachel paints
`5 (1)/(2)`square meters of wall space in
`(1)/(3)`hour. What wall space can she paint in 1 hour?

Answer 1

Therefore in an hour she will have already painted 16 1/2 square meters

Explanation:

We can calculate the area that Rachel has painted by means of the following proportion:

But first we must convert the mixed number 5 1/2 to a fractional number

`5(1)/(2)=(11)/(2)`

Now yes, the proportion would be:

`((11)/(2))/((1)/(3))=(x)/(1)`

Solving for x:

`\begin{gathered} (11\cdot3)/(2\cdot1)=(x)/(1) \\ x=(33)/(2) \\ (33)/(2)=16(1)/(2) \end{gathered}`