Question

Derek says that the quotient of -2/7 divided by -2/21 is -1/3. Part A: What is the correct quotient? Part B: What mistake did Derek likely make?

Answer 1

The correct quotient is 3.

I think Derek has mistaken to divide
`-(2)/(21)` by
`(2)/(7)`.

Explanation:

We have to check the quotient of
`(-(2)/(7))  \textrm{ divided by }(-(2)/(21))`.

Part A:

Now,
`(-(2)/(7))  \textrm{ divided by }(-(2)/(21))`.

=
`(-(2)/(7) )/(-(2)/(21) ) =3`

So, the correct quotient is 3.

Part B:

Derek says that the quotient is
`-(1)/(3)`.

So, I think Derek has mistaken to divide
`-(2)/(21)` by
`(2)/(7)`. (Answer)