Question

1 1/4mi = ft, can someone explain this to me

Answer 1

first off, we'll convert the mixed fraction to "improper" and check about, keeping in mind that, there are 5280 feet in 1mile.


`\bf \stackrel{mixed}{1(1)/(4)~mi}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}~mi}\\\\ -------------------------------`


`\bf \begin{array}{ccll} feet&miles\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 5280&1\\ f&(5)/(4) \end{array}\implies \cfrac{5280}{f}=\cfrac{1}{\quad (5)/(4)\quad }\implies \cfrac{5280}{f}=\cfrac{(1)/(1)}{\quad (5)/(4)\quad } \\\\\\ \cfrac{5280}{f}=\cfrac{1}{1}\cdot \cfrac{4}{5}\implies \cfrac{5280}{f}=\cfrac{4}{5}\implies \cfrac{5280\cdot 5}{4}=f\implies 6600=f`