Answer:
Step-by-step explanation:
If we change those mixed fractions to improper we will have a much easier time with them:
[tex]\frac{\frac{10}{3} }{\frac{13}{5} }[/tex]
Now that looks horrible. The rule for dividing fractions by fractions is a simple one, thankfully. Bring the bottom fraction up next to the top fraction, then flip it upside down and change the sign to multiplication:
[tex]\frac{10}{3}[/tex]×[tex]\frac{5}{13}[/tex]
Multiply straight across the top and straight across the bottom to get
[tex]\frac{50}{39}[/tex]
Depending upon what your teacher calls "simplest form", this form may be the simplest, or the mixed fraction may be the simplest. The mixed fraction equivalent to this improper is
[tex]1\frac{11}{39}[/tex]
