Question

Rachel paints $5 \frac{1}{2}$square meters of wall space in $\frac{1}{3}$hour. What wall space can she paint in 1 hour?

Answer 1

ANSWER:

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

STEP-BY-STEP 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

$5\frac{1}{2}=\frac{11}{2}$

Now yes, the proportion would be:

$\frac{\frac{11}{2}}{\frac{1}{3}}=\frac{x}{1}$

Solving for x:

$\begin{gathered} \frac{11\cdot3}{2\cdot1}=\frac{x}{1} \\ x=\frac{33}{2} \\ \frac{33}{2}=16\frac{1}{2} \end{gathered}$