# 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 result:

n =  2
r =  0.167 cm

#### Solution:

$l_{1}=1 + \dfrac{ 2 }{ 3 }=\dfrac{ 5 }{ 3 } \doteq 1.6667 \ \text{cm} \ \\ l_{2}=3/4=\dfrac{ 3 }{ 4 }=0.75 \ \text{cm} \ \\ \ \\ n=l_{1}/l_{2}=1.6667/0.75=\dfrac{ 20 }{ 9 }=2$
$r=l_{1} - n \cdot \ l_{2}=1.6667 - 2.2222 \cdot \ 0.75=\dfrac{ 1 }{ 6 }=0.167 \ \text{cm}$

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