Little 2

Little fields farm lies on a rectangular plot of land that measures 2 2/4 miles in length and 2 2/3 miles in width. What is its area in square miles?

Correct answer:

A =  6 ²⁄₃ = 20/3 mi²

Step-by-step explanation:

$$\begin{gathered} a=2\frac{2}{4}=2+\frac{2}{4}=\frac{2\cdot 4+2}{4}=\frac{8+2}{4}=\frac{10}{4}=\frac{5}{2}=2.5\text{mi} \\ b=2\frac{2}{3}=2+\frac{2}{3}=\frac{2\cdot 3+2}{3}=\frac{6+2}{3}=\frac{8}{3}\doteq 2.6667\text{mi} \\ A=a\cdot b=\frac{5}{2}\cdot \frac{8}{3}=\frac{5\cdot 8}{2\cdot 3}=\frac{40}{6}=\frac{20}{3}{\text{mi}}^2=6\frac{2}{3}{\text{mi}}^2=6.6667{\text{mi}}^2 \end{gathered}$$

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