ISEE Upper Level Math : How to divide variables

Study concepts, example questions & explanations for ISEE Upper Level Math

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Example Questions

Example Question #11 : How To Divide Variables

Divide:

Possible Answers:

Correct answer:

Explanation:

To divide this problem we start by simplify it. In this problem we can break the large fraction into three smaller fractions.

From here we can factor out a  from the numerator and denominator of each fraction.

Now we can cancel the  terms and are left with the following result:

Example Question #12 : How To Divide Variables

Simplify the following expression:

Possible Answers:

Correct answer:

Explanation:

Simplify the following expression:

Let's begin by simplifying the coefficients

Next, complete the question by subtracting the exponents:

So, our answer is:

Example Question #13 : How To Divide Variables

Simplify the following expression:

Possible Answers:

Correct answer:

Explanation:

Simplify the following expression:

Let's begin by simplifying the coefficients:

We have a 49 on top and a 7 on bottom. We can treat this just like a regular fraction:

Next, to deal with our variables, all we need to do is subtract the bottom exponent from the top exponent. If we get a negative number, we just put that number on the bottom.

So our answer will look like this:

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