Answer:
[tex]\frac{1}{3}\times2\frac{3}{4}=\frac{11}{12}[/tex]Explanation: We need to multiply the two given numbers, they are:
[tex]\begin{gathered} (1)\rightarrow\frac{1}{3} \\ (2)\rightarrow2\frac{3}{4} \end{gathered}[/tex]Multiplication:
[tex](1)\times(2)=\frac{1}{3}\times2\frac{3}{4}[/tex]Before we proceed we will get the (2) in Improper fraction, form this is done as follows:
[tex](2)=2\frac{3}{4}=\frac{4\cdot2+3}{4}=\frac{8+3}{4}=\frac{11}{4}[/tex]Therefore we can multiply the two in the following way:
[tex](1)\times(2)\rightarrow\frac{1}{3}\times\frac{11}{4}=\frac{11}{12}[/tex]