Question

What is an example of dividing a positive number by a negative number where the result is expressed as a mixed number?

Answer 1

Let's take a positive number, such as 7, and divide it by a negative number, such as -2.

The division can be expressed as:

\[
\frac{7}{-2} = -\frac{7}{2}
\]

Now, we can convert \(-\frac{7}{2}\) into a mixed number. When we divide 7 by 2, we get:

- The whole number part is \(3\) (since \(2 \times 3 = 6\)).
- The remainder is \(1\) (since \(7 - 6 = 1\)).

Thus, we can express it as:

\[
-\frac{7}{2} = -3 \frac{1}{2}
\]

Therefore, an example of dividing a positive number by a negative number, expressed as a mixed number, is:

\[
7 \div (-2) = -3 \frac{1}{2}
\]