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On a map, 1/4 inch represents 12 miles. If a road is 66 miles long, what is its length, in inches, on the map?

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stradlater

it'll be 1\(\frac{5}{6}\) inches on the map

since 12 miles is a quarter of an inch, we need to see how much it will be for 66 miles. we divide 66 by 12, which gives us 5\(\frac{1}{2}\)

we multiply that by \(\frac{1}{4}\), which gives us thusly 1\(\frac{5}{6}\) of an inch = 66 miles.

kate200468

\(\frac{1}{4}\ in\ on\ the\ map \ \rightarrow\ \ 12\ miles\\ \\x\ \rightarrow\ 66\ miles\\ \\12\cdot x= \frac{1}{4}\cdot 66\ /:12\\ \\ x= \frac{33}{2} \cdot \frac{1}{12} \\ \\x= \frac{3\cdot11}{2\cdot3\cdot4} \\ \\x= \frac{11}{8} \ [in]\\ \\x=1.75\ [in]\)

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