12. Given the expression :
[tex]3\frac{6}{12}\times\frac{7}{12}=?[/tex]
Convert the mixed number to fraction :
[tex]3\frac{6}{12}=3\frac{6}{6\cdot2}=3\frac{1}{2}=\frac{2\cdot3+1}{2}=\frac{7}{2}[/tex]
Then find the result of the multiplication:
[tex]3\frac{6}{12}\times\frac{7}{12}=\frac{7}{2}\cdot\frac{7}{12}=\frac{49}{24}[/tex]
Convert the result from fraction to a mixed number:
[tex]\frac{49}{24}=\frac{2\cdot24+1}{24}=2\frac{1}{24}[/tex]
So, the answer is :
[tex]2\frac{1}{24}[/tex]
