Question

Find the product. 1. 9 х 10 4 2 10 5. 2 1 X 12 12

Answer 1

First, convert into an improper fraction, then operate and simplify:

`\begin{gathered} 3(2)/(8)\cdot(9)/(10)\rightarrow(3\cdot8+2)/(8)\cdot(9)/(10)\rightarrow(26)/(8)\cdot(9)/(10)\rightarrow(13)/(4)\cdot(9)/(10)\rightarrow(117)/(40) \\ \\ 2(4)/(10)\cdot(4)/(5)\rightarrow(2\cdot10+4)/(10)\cdot(4)/(5)\rightarrow(24)/(10)\cdot(4)/(5)\rightarrow(12)/(5)\cdot(4)/(5)\rightarrow(48)/(25) \\ \\ 1(4)/(12)\cdot(2)/(12)\rightarrow(12+4)/(12)\cdot(2)/(12)\rightarrow(16)/(12)\cdot(2)/(12)\rightarrow(4)/(3)\cdot(1)/(6)\rightarrow(4)/(18)\rightarrow(2)/(9) \\ \\ 3(2)/(3)\cdot(2)/(8)\rightarrow(3\cdot3+2)/(3)\cdot(2)/(8)\rightarrow(11)/(3)\cdot(1)/(4)\rightarrow(11)/(12) \end{gathered}`