Road repairs

A 16 1/2 kilometer stretch of road needs repairs. Workers can repair 2 1/4 kilometer of road per week. How many weeks will it take to repair this stretch of road?

Correct answer:

w =  7.3333

Step-by-step explanation:

$$\begin{gathered} s=16{\displaystyle \frac{1}{2}}=16+{\displaystyle \frac{1}{2}}={\displaystyle \frac{16\cdot 2+1}{2}}={\displaystyle \frac{33}{2}}=16.5\text{ km } \\ r=2{\displaystyle \frac{1}{4}}=2+{\displaystyle \frac{1}{4}}={\displaystyle \frac{2\cdot 4+1}{4}}={\displaystyle \frac{9}{4}}=2.25\text{ km } \\ w=s\mathrm{/}r=16.5\mathrm{/}2.25={\displaystyle \frac{22}{3}}=7\frac{1}{3}=7.3333 \end{gathered}$$

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