Answer:
The distance around Fort Meade is 9/8 miles.
Step-by-step explanation:
Givens.
- They walked 3/4 miles, which is 2/3 the distance around Fort Meade.
To know the distance around Fort Meade, which just need to the other 1/3 missing. We can use the rule of three in this case.
If 3/4 miles represents 2/3, how many miles would represents 1/3?
[tex]x=\frac{1}{3}\frac{\frac{3}{4} }{\frac{2}{3} } =\frac{1}{3}\frac{9}{8}=\frac{3}{8} \ miles[/tex]
Which means the 1/3 missing represents 3/8 miles.
So, the total distance is
[tex]\frac{3}{4}+ \frac{3}{8}=\frac{24+12}{32}=\frac{36}{32}=\frac{9}{8} \ miles[/tex]
Therefore, the distance around Fort Meade is 9/8 miles.
