An apple

An apple cake recipe calls for 2 2/3 c of apple slices. Each apple supplies about 2/3 c of slices. How many apples are needed to make the cake?

Correct answer:

n =  4

Step-by-step explanation:

$$\begin{gathered} r=2\frac{2}{3}=2+\frac{2}{3}=\frac{2\cdot 3+2}{3}=\frac{6+2}{3}=\frac{8}{3}=2\frac{2}{3}\doteq 2.6667\text{c} \\ a=\frac{2}{3}\doteq 0.6667\text{c} \\ n=r/a=\frac{8}{3}/\frac{2}{3}=\frac{8}{3}:\frac{2}{3}=\frac{8}{3}\cdot \frac{3}{2}=\frac{8\cdot 3}{3\cdot 2}=\frac{24}{6}=4 \end{gathered}$$

Try another example