well, first off, let's divide 19 by 15, hmmm 19 ÷ 15 gives us a quotient of 1, and a remainder of 4.
for a mixed fraction, we put the quotient upfront and the remainder as the new numerator.
[tex]\bf \stackrel{improper}{\cfrac{19}{15}}\implies \stackrel{quotient}{1}\frac{\stackrel{remainder}{4}}{15}\implies 1\frac{4}{15}[/tex]