A land 2

A land owner owns two parcels of land measuring 4 2/5 hectares and 6 1/5 hectares. He sells 3/4 of the total land. How many hectares of the land are left?

Correct answer:

x =  2.65 ha

Step-by-step explanation:

$$\begin{gathered} a=4{\displaystyle \frac{2}{5}}=4+{\displaystyle \frac{2}{5}}={\displaystyle \frac{4\cdot 5+2}{5}}={\displaystyle \frac{22}{5}}=4.4\text{ ha } \\ b=6{\displaystyle \frac{1}{5}}=6+{\displaystyle \frac{1}{5}}={\displaystyle \frac{6\cdot 5+1}{5}}={\displaystyle \frac{31}{5}}=6.2\text{ ha } \\ q=1-3\mathrm{/}4={\displaystyle \frac{1}{4}}=0.25 \\ S=a+b=4.4+6.2={\displaystyle \frac{53}{5}}=10.6\text{ ha } \\ x=q\cdot S=0.25\cdot 10.6={\displaystyle \frac{53}{20}}\text{ ha}=2\frac{13}{20}\text{ ha}=2.65\text{ ha} \end{gathered}$$

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