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?

1 Answer
May 14, 2016

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"#