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When multiplying fractions, understanding the basic process is key. Whether the fractions are positive, negative, proper, or improper, the approach remains consistent.
First, identify the numerators and denominators of the fractions involved. If multiplying a whole number by a fraction, treat the whole number as a fraction with a denominator of one. For example, with \(-8\), treat it as \(-\frac{8}{1}\).
The multiplication typically follows these steps:

• Multiply the numerators of the fractions together.
• Multiply the denominators of the fractions together.

Finally, simplify the resulting fraction if needed. In some situations, simplifying involves finding the greatest common divisor (GCD) between the numerator and denominator. This makes the fraction easier to interpret and work with in further calculations.

Negative numbers can introduce complexity into operations if you're not careful. If you remember this simple rule, it will always guide you right: Multiplying a negative number by a positive number results in a negative number. This is because you are essentially taking the opposite or inverse of your positive result.
In our exercise, multiplying \(-8\) by \(\frac{1}{3}\) gives \(\frac{-8}{3}\). Here's a quick check:

• Negative \(-8\) simply means '8 less than zero.'
• \(\frac{1}{3}\) is just a proportion indicating a third of something.
• Carrying out the operation, your outcome is a portion of \(-8\), which gives \(\frac{-8}{3}\).

This outcome maintains the negative sign of \(-8\) despite the fraction being a positive influence.

Improper fractions occur when the numerator (top number) is larger than the denominator (bottom number), expressing a value greater than one. After multiplication, results often end as improper fractions in mathematics. In this exercise, the result \(\frac{-8}{3}\) is an improper fraction.
Working with improper fractions involves some choices:

• You can leave the result as it is, which is often acceptable in math.
• You can convert it to a mixed number. For \(\frac{-8}{3}\), this would result in \-2\frac{2}{3}\.

Both forms are correct, but choosing the right form depends on the context. In applications or tests, converting to mixed numbers can sometimes make the information more understandable.