How to divide variables

Help Questions

ISEE Upper Level Quantitative Reasoning › How to divide variables

Questions 1 - 10
1

Divide:

Explanation

2

Divide:

The expression cannot be simplified further.

Explanation

To divide this problem we simplify it first. In this problem we can separate the big fraction into three smaller fractions.

Then from here, we can pull out a from both the numerator and denominator of each smaller fraction.

Now we cancel terms and get the following result:

3

Simplify the following expression:

Explanation

Simplify the following expression:

Let's begin by simplifying the coefficients

Next, complete the question by subtracting the exponents:

So, our answer is:

4

Which of the following is a factor of ?

Explanation

The first step to solving this question is to reduce .

The only number listed that is a factor of 36 is 18, given that 2 times 18 is 36. Therefore, 18 is the correct answer.

5

\dpi{100} \frac{1}{3}\div \frac{1}{9}

\dpi{100} 3

\dpi{100} 2

\dpi{100} \frac{1}{27}

\dpi{100} \frac{1}{3}

Explanation

Never divide fractions! Simply flip the fraction that follows the division symbol, and then multiply it by the first fraction. So this expression becomes:

\dpi{100} \frac{1}{3}\times \frac{9}{1}=\frac{9}{3}=3

6

Simplify:

Explanation

To simplify this problem we first separate the large fraction into three smaller fractions.

From here we can factor out from the numerator and denominator of the first two fractions.

The can be canceled out in the first two fractions. From here we can factor out a from the numerator and denominator of the third fraction.

Thus becoming:

7

Simplify the following expression:

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:

8

If , divide:

Explanation

9

Divide:

Explanation

10

Simplify:

Explanation

Page 1 of 2
Return to subject