What is the value of #2 -: 3 4/5#?

1 Answer

#2 div 3 4/5 = color(green)(10/19)#

Explanation:

#3 4/5# can be written as an improper fraction #=19/5#

Division is the same as multiplication by the inverse.
#color(white)("XXX")kdiva =kxx1/a#
and
#color(white)("XXX")kdiv(a/b)=kxxb/a#

Therefore
#color(white)("XXX")2div3 4/5#
#color(white)("XXX")=2 div19/5#
#color(white)("XXX")=2 xx 5/19#
#color(white)("XXX")=10/19#
#color(white)("XXX")=10/19#