Question

Consider the fraction 1/2, if this fraction is divided by 3, will the quotient be more or less than the quotient in the first part?

Answer 1

`\begin{gathered} \text{you must compare 1/2 with 1/2 divided by 3. This las operation is equal to 1/6:} \\ ((1)/(2))/(3)=((1)/(2))/((3)/(1))=(1\cdot1)/(2\cdot3)=(1)/(6) \\ \text{I did this computation by using the sandwich law. I uploaded the image below} \\ \text{Now we must compare the quotient of 1/2 and the quotient of 1/6} \end{gathered}`
`\begin{gathered} as\text{ you can se}e,\text{ the quotient in the division 1/2 is 0.5 } \\ \text{and the quotient in 1/6 is 0.16,} \\ \sin ce\text{ 0.5 }>0.16,\text{ then the quotient in the first part } \\ \text{is larger than the quotient in the second part} \end{gathered}`
`\text{this last image exemplify the`