Conner

Conner nazbieral 8 1/5 libier jabĺk. Louisa nazbierala 9 2/3 libier jabĺk. O koľko viac libier jabĺk nazbierala Louisa ako Conner?

Správna odpoveď:

x =  1 ⁷⁄₁₅ = 22/15 lb

Postup správneho riešenia:

$$\begin{gathered} c=8\frac{1}{5}=8+\frac{1}{5}=\frac{8\cdot 5+1}{5}=\frac{40+1}{5}=\frac{41}{5}=8,2\text{lb} \\ l=9\frac{2}{3}=9+\frac{2}{3}=\frac{9\cdot 3+2}{3}=\frac{27+2}{3}=\frac{29}{3}\doteq 9,6667\text{lb} \\ x=l-c=\frac{29}{3}-\frac{41}{5}=\frac{145}{15}-\frac{123}{15}=\frac{145-123}{15}=\frac{22}{15}=\frac{22}{15}\text{lb}=1\frac{7}{15}\text{lb}=1,4667\text{lb} \end{gathered}$$

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