If you did this by applying it to the left multiplication first, you would get

$\displaystyle{\left(\frac{{1}}{{5}}\cdot\frac{{2}}{{3}}\right)}\cdot\frac{{5}}{{2}}\usepackage{cmbright}\Huge\$ , then applying it to the other multiplication gives $\displaystyle\frac{{5}}{{2}}\cdot{\left(\frac{{1}}{{5}}\cdot\frac{{2}}{{3}}\right)}\usepackage{cmbright}\Huge\$ .

If you choose to apply the commutative property to the right multiplication first, you would get $\displaystyle\frac{{5}}{{2}}\cdot{\left(\frac{{2}}{{3}}\cdot\frac{{1}}{{5}}\right)}\usepackage{cmbright}\Huge\$ , then applying it to the other multiplication gives $\displaystyle\frac{{5}}{{2}}\cdot{\left(\frac{{1}}{{5}}\cdot\frac{{2}}{{3}}\right)}\usepackage{cmbright}\Huge\$ . The results are the same and what you want.