Given the expression;
[tex]\frac{10}{13}\div2\frac{4}{7}[/tex]First we need to convert the mixed fraction 2 4/7 into improper fraction as shown;
[tex]\frac{10}{13}\div\frac{18}{7}[/tex]Change the division sign to multiplication as shown;
[tex]\begin{gathered} =\frac{10}{13}\times\frac{7}{18} \\ =\frac{5}{13}\times\frac{7}{9} \\ =\text{ }\frac{35}{117} \end{gathered}[/tex]Hence the answer to the expression is 35/117
