${\displaystyle \frac{3}{4}}\cdot {\displaystyle \frac{5}{6}}={\displaystyle \frac{3\cdot 5}{4\cdot 6}}={\displaystyle \frac{15}{24}}={\displaystyle \frac{5}{8}}\backslash dfrac\{3\}\{4\}\backslash cdot\backslash dfrac\{5\}\{6\}=\backslash dfrac\{3\backslash cdot5\}\{4\backslash cdot6\}=\backslash dfrac\{15\}\{24\}=\backslash dfrac\{5\}\{8\}$

${\displaystyle \frac{2}{7}}\cdot {\displaystyle \frac{5}{4}}={\displaystyle \frac{2\cdot 5}{7\cdot 4}}={\displaystyle \frac{10}{28}}={\displaystyle \frac{5}{14}}\backslash dfrac\{2\}\{7\}\; \backslash cdot\; \backslash dfrac\{5\}\{4\}=\backslash dfrac\{2\backslash cdot5\}\{7\backslash cdot4\}=\backslash dfrac\{10\}\{28\}=\backslash dfrac\{5\}\{14\}$

${\displaystyle \frac{3}{16}}\cdot {\displaystyle \frac{1}{2}}={\displaystyle \frac{3\cdot 1}{16\cdot 2}}={\displaystyle \frac{2}{32}}\backslash dfrac\{3\}\{16\}\backslash cdot\; \backslash dfrac\{1\}\{2\}=\backslash dfrac\{3\; \backslash cdot1\}\{16\backslash cdot2\}=\backslash dfrac\{2\}\{32\}$

${\displaystyle \frac{5}{8}}\cdot {\displaystyle \frac{2}{3}}={\displaystyle \frac{5\cdot 2}{8\cdot 3}}={\displaystyle \frac{10}{24}}={\displaystyle \frac{5}{12}}\backslash dfrac\{5\}\{8\}\; \backslash cdot\; \backslash dfrac\{2\}\{3\}=\backslash dfrac\{5\backslash cdot\; 2\}\{8\backslash cdot\; 3\}=\backslash dfrac\{10\}\{24\}=\backslash dfrac\{5\}\{12\}$