Chester

Chester has a piece of wood measuring 1 2/3 cm. He needs to cut it to pieces measuring 3/4 cm long. How many pieces of wood did Chester cut?

Correct answer:

n =  2
r =  0 cm

Step-by-step explanation:

$$\begin{gathered} l_1=1+{\displaystyle \frac{2}{3}}={\displaystyle \frac{5}{3}}=1\frac{2}{3}\doteq 1.6667\text{ cm } \\ {l}_2=3\mathrm{/}4={\displaystyle \frac{3}{4}}=0.75\text{ cm } \\ n=l_1\mathrm{/}{l}_2=1.6667\mathrm{/}0.75={\displaystyle \frac{20}{9}}=2\frac{2}{9}=2 \end{gathered}$$

$r=l_1-n\cdot l_2=1.6667-2.2222\cdot 0.75=0\text{ cm}$

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