$${\frac{\left({\frac{{\mathtt{42}}}{{\mathtt{9}}}}\right)}{\left({\frac{{\mathtt{6}}}{{\mathtt{27}}}}\right)}} = \left({\frac{{\mathtt{42}}}{{\mathtt{9}}}}\right){\mathtt{\,\times\,}}\left({\frac{{\mathtt{27}}}{{\mathtt{6}}}}\right)$$
$$\left({\frac{{\mathtt{42}}}{{\mathtt{9}}}}\right){\mathtt{\,\times\,}}\left({\frac{{\mathtt{27}}}{{\mathtt{6}}}}\right) = \left({\frac{{\mathtt{42}}}{{\mathtt{6}}}}\right){\mathtt{\,\times\,}}\left({\frac{{\mathtt{27}}}{{\mathtt{9}}}}\right)$$
$$\left({\frac{{\mathtt{42}}}{{\mathtt{6}}}}\right){\mathtt{\,\times\,}}\left({\frac{{\mathtt{27}}}{{\mathtt{9}}}}\right) = {\mathtt{7}}{\mathtt{\,\times\,}}{\mathtt{3}} = {\mathtt{21}}$$
.$${\frac{\left({\frac{{\mathtt{42}}}{{\mathtt{9}}}}\right)}{\left({\frac{{\mathtt{6}}}{{\mathtt{27}}}}\right)}} = \left({\frac{{\mathtt{42}}}{{\mathtt{9}}}}\right){\mathtt{\,\times\,}}\left({\frac{{\mathtt{27}}}{{\mathtt{6}}}}\right)$$
$$\left({\frac{{\mathtt{42}}}{{\mathtt{9}}}}\right){\mathtt{\,\times\,}}\left({\frac{{\mathtt{27}}}{{\mathtt{6}}}}\right) = \left({\frac{{\mathtt{42}}}{{\mathtt{6}}}}\right){\mathtt{\,\times\,}}\left({\frac{{\mathtt{27}}}{{\mathtt{9}}}}\right)$$
$$\left({\frac{{\mathtt{42}}}{{\mathtt{6}}}}\right){\mathtt{\,\times\,}}\left({\frac{{\mathtt{27}}}{{\mathtt{9}}}}\right) = {\mathtt{7}}{\mathtt{\,\times\,}}{\mathtt{3}} = {\mathtt{21}}$$