Simplify the expression 6xy is the numerator and -7y is the denominator. Show your work

To simplify the expression, we divide the numerator by the denominator:

\(\frac{6xy}{-7y} = \frac{6x}{-7}\)

Therefore, the simplified expression is \(\frac{6x}{-7}\).

Please explain how you got your answer.

Apologies for skipping the steps. To simplify the expression \(\frac{6xy}{-7y}\), we divide the numerator by the denominator.

When dividing, we can cancel out common factors. In this case, both terms in the numerator and denominator contain \(y\), so we divide \(y\) from both terms:

\(\frac{6xy}{-7y} = \frac{6x \cancel{y}}{-7 \cancel{y}}\)

This simplifies to:

\(\frac{6x}{-7}\)

Thus, the simplified expression is \(\frac{6x}{-7}\).

I a little confuse, explain the expression, the symbols \(\frac{6x}{-7}\)

Apologies for the confusion. The expression \(\frac{6x}{-7}\) represents a fraction.

In this fraction, the numerator is \(6x\) and the denominator is \(-7\). The numerator, \(6x\), represents the product of 6 and \(x\), whereas the denominator, \(-7\), represents the number -7.

To simplify the fraction further, we cannot simplify it any more because there are no common factors between the numerator and the denominator. Thus, the expression \(\frac{6x}{-7}\) is already in its simplest form.

what does frac means? is it the word fraction?

Yes, you are correct. "Frac" is an abbreviation for "fraction." In mathematics, the term "fraction" refers to a number that represents a part of a whole or a ratio of two quantities. Fractions are commonly written using the fraction bar (\(\frac{a}{b}\)) or a slash (a/b), where \(a\) is the numerator (the number on top) and \(b\) is the denominator (the number on the bottom).