Answer: [tex]\frac{a}{b}= 18[/tex]
Step-by-step explanation:
You know that the quotient Colleen got when she divided an integer “a” by -6 was 6. This can be expressed as:
[tex]\frac{a}{-6}=6[/tex]
Then, you can find that integer solving for "a":
[tex]a=(6)(-6)\\\\a=-36[/tex]
The quotient Colleen got when she divided 6 by an integer “b” was -3. This can be expressed as:
[tex]\frac{6}{b}=-3[/tex]
Therefore, you can find that integer solving for "b":
[tex]6=(-3)(b)\\\\\frac{6}{-3}=b\\\\b=-2[/tex]
Knowing the values of "a" and "b", you can divide these integers in order to find the quotient between thenm
[tex]\frac{a}{b}=\frac{-36}{-2}}= 18[/tex]
