Question

Jim is running on a trail that is `5/4` of a mile long. So far he has run `2/3` of the trail. How any miles has he run so far?

Answer 1

Jim has run `5/6` of a mile so far.

Explanation:

For a question like this when we are asked for
`color(white)("XXX")`some fraction `a` of some quantity `b`
the "of" should be interpreted as multiplication
`color(white)("XXX")a " of " b hArr axxb`

In this case
`color(white)("XXX")2/3" of " 5/4 "mile"`

`color(white)("XXX")rArr cancel(2)/3xx5/(cancel(4)_2) " mile" = 5/6 " mile"`