If I walked a trail that was 3/4 of a mile 6 times how many miles is that?

We need to turn this word problem into a mathematical expression. If we're trying to find the total distance, and we've walked 3/4 of a mile 6 times, then the expression looks like this:

`d=3/4xx6`

where `d` is the total distance in miles. Now, let's solve for `d`:

`d=3/4xx6/1`

`d=(3xx6)/(4xx1)`

`d=18/4=9/2`

`color(green)(d=4 1/2)`

`3/4*6=`

`3/4*6/1=`

`18/4=`

`4.5`

It could be that the other two solutions are the intended interpretation.

Taking the question `ul("literally as written.")`

Breaking the question down into its component parts.
Also putting in a `color(red)("possible")` punctuation that is missing.

Let the unknown distance be `x`

If I walked a trail that was `3/4` of a mile.`color(blue)(larr" Part 1")`

Now we put in a full stop and continue on to the next part.

`color(blue)("Part 2")`

6 times `->................color(white)("dd")6xx?`
how many miles `->......color(white)("d")6xx x`
is that `->....................color(white)(".")6xx x=3/4`

This is an entirely different scenario!!!!

`x=3/(4xx6)= 1/8`

`3/4` of a mile is `6xx1/8`

So for this `color(red)("interpretation")` the answer is `1/8`