kaciemg
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On a certain map, 3/4 inch represents one mile. What distance, in miles, is represented by 1 3/4 inches?


Please explain to me how to get the answer.

Respuesta :

fussellk
I'd set up a ratio problem

3/4 inch = 1 mile
-----------    --------
1 3/4 inch    x

3/4 x = 1 3/4
divide each side by 3/4 (also change 1 3/4 to improper)

you end up with 
x = 7/4 x 4/3
x = 28/12
x = 7/3 or 2 1/3

hope this helps

Answer:

The distance is [tex]\frac{7}{3}[/tex] mile

Step-by-step explanation:

Given : On a certain map, [tex]\frac{3}{4}[/tex] inch represents one mile.

To find : What distance, in miles, is represented by [tex]1\frac{3}{4}[/tex]  inches?              

Solution :

We have given that,

1 mile =  [tex]\frac{3}{4}[/tex] inch

or 1 inch = [tex]\frac{1}{\frac{3}{4}}[/tex] mile

1 inch = [tex]{\frac{4}{3}[/tex] mile

We have to find miles in [tex]1\frac{3}{4}[/tex] inches i.e. [tex]\frac{7}{4}[/tex] inches          

[tex]\frac{7}{4}[/tex]  inch = [tex]\frac{7}{4}\times {\frac{4}{3}[/tex] mile

[tex]\frac{7}{4}[/tex]  inch = [tex]\frac{7}{3}[/tex] mile

Therefore, The distance is [tex]\frac{7}{3}[/tex] mile

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