Question

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

Answer 1

Answer:

The distance is $\frac{7}{3}$ mile

Step-by-step explanation:

Given : On a certain map, $\frac{3}{4}$ inch represents one mile.

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

Solution :

We have given that,

1 mile =  $\frac{3}{4}$ inch

or 1 inch = $\frac{1}{\frac{3}{4}}$ mile

1 inch = ${\frac{4}{3}$ mile

We have to find miles in $1\frac{3}{4}$ inches i.e. $\frac{7}{4}$ inches          

$\frac{7}{4}$  inch = $\frac{7}{4}\times {\frac{4}{3}$ mile

$\frac{7}{4}$  inch = $\frac{7}{3}$ mile

Therefore, The distance is $\frac{7}{3}$ mile

Answer 2

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