Answer:
The conjecture is;
"The quotient of two negative integers is a positive rational number"
Explanation:
Recall that negative divided by negative is equal to positive;
[tex]\frac{-1}{-1}=1[/tex]for the given question;
[tex]\begin{gathered} \frac{-4}{-5}=\frac{-1\times4}{-1\times5}=1\times\frac{4}{5} \\ \frac{-4}{-5}=\frac{4}{5} \end{gathered}[/tex]secondly;
[tex]\begin{gathered} \frac{-14}{-7}=\frac{14}{7}=2 \\ \frac{-14}{-7}=2 \end{gathered}[/tex]Thirdly;
[tex]\frac{-21}{-5}=\frac{21}{5}[/tex]we can observe that all the quotient of two negative integers solved in the three questions above gave a positive rational number.
Therefore, The conjecture is;
"The quotient of two negative integers is a positive rational number"
