Question

Divide. Write your answer as a fraction or mixed number in simplest form.
8 divided by ( - 2/3)

Answer 1

To divide \( 8 \) by \( -\frac{2}{3} \), you can multiply \( 8 \) by the reciprocal of \( -\frac{2}{3} \).

The reciprocal of \( -\frac{2}{3} \) is \( -\frac{3}{2} \).

So, the calculation becomes:

\[
8 \div \left(-\frac{2}{3}\right) = 8 \times \left(-\frac{3}{2}\right)
\]

Now, multiply:

\[
8 \times \left(-\frac{3}{2}\right) = -\frac{24}{2}
\]

Now, simplify \( -\frac{24}{2} \):

\[
-\frac{24}{2} = -12
\]

So, the answer is

\[
-12
\]

This can also be expressed as a mixed number, but since it is an integer, we typically leave it as:

\[
-12
\]