2/13 x=10

First Way:

$${\frac{{\mathtt{2}}}{{\mathtt{13}}}}{\mathtt{\,\times\,}}{\mathtt{x}} = {\mathtt{10}}$$

$${\frac{{\mathtt{2}}}{{\mathtt{13}}}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{13}}}{{\mathtt{2}}}}\right){\mathtt{\,\times\,}}{\mathtt{x}} = {\mathtt{10}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{13}}}{{\mathtt{2}}}}\right)$$

$${\mathtt{1}}{\mathtt{\,\times\,}}{\mathtt{x}} = {\frac{{\mathtt{130}}}{{\mathtt{2}}}}$$

$${\mathtt{x}} = {\frac{{\mathtt{130}}}{{\mathtt{2}}}}$$

$${\mathtt{x}} = {\mathtt{65}}$$

Second Way:

$${\frac{{\mathtt{2}}}{{\mathtt{13}}}}{\mathtt{\,\times\,}}{\mathtt{x}} = {\mathtt{10}}$$

$${\frac{{\frac{{\mathtt{2}}}{{\mathtt{13}}}}}{\left({\frac{{\mathtt{2}}}{{\mathtt{13}}}}\right)}}{\mathtt{\,\times\,}}{\mathtt{x}} = {\frac{{\mathtt{10}}}{\left({\frac{{\mathtt{2}}}{{\mathtt{13}}}}\right)}}$$

$${\mathtt{1}}{\mathtt{\,\times\,}}{\mathtt{x}} = {\frac{{\mathtt{10}}}{\left({\frac{{\mathtt{2}}}{{\mathtt{13}}}}\right)}}$$

$${\mathtt{x}} = {\mathtt{10}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{13}}}{{\mathtt{2}}}}\right)$$

$${\mathtt{x}} = {\frac{{\mathtt{130}}}{{\mathtt{2}}}}$$

$${\mathtt{x}} = {\mathtt{65}}$$

Another great answer.  Thanks Gibsonj