# GED Math : Division

## Example Questions

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### Example Question #1 : Division

Divide:

Explanation:

Use the long division process:

5 goes into 12 2 times;

5 goes into 26 5 times;

5 goes into 15 3 times;

### Example Question #2 : Division

Which of the following is an undefined expression?

Do not use a calculator.

Explanation:

Both differences are defined, as there is no restriction on what two numbers can be subtracted. Zero divided by any nonzero number yields a quotient of zero, so  is defined and equal to zero. But zero cannot be a divisor. This makes  the undefined quantity.

### Example Question #3 : Division

If 10,000 is divided by 23, what is the remainder?

Do not use a calculator.

Explanation:

Use the long division process.

The remainder is 18.

### Example Question #4 : Division

Forty friends are renting a party bus to the school prom. Rental of the party bus will cost $280 up front plus$20 per hour. The friends have the bus from 5:00 PM to 2:00 AM.

The friends have agreed to split the cost evenly. How much will each pay?

Explanation:

From 5:00 PM to 2:00 AM will be

hours.

The bus will cost the students

,

which, divided evenly among 40 students, means that each will pay

.

### Example Question #5 : Division

Divide and rewrite as a mixed fraction:

Explanation:

Rewrite both the numerator and denominator using factors of two.

Reduce this fraction.

The number 99 goes into 23 four times, since , and will have a remainder of seven.

### Example Question #6 : Division

Divide the following:

Explanation:

To divide fractions, we will take the first fraction and multiply it by the reciprocal of the second fraction. To find the reciprocal of a fraction, the numerator becomes the denominator, and the denominator becomes the numerator. In other words, we will flip the fraction. So, we get

### Example Question #7 : Division

Which number is not a factor of 66?

Explanation:

Divide 66 by each of the four choices. The division that yields a nonzero remainder reveals the number that is not a factor.

66 divided by 6, 11, or 22 yields a zero remainder; 66 divided by 12 yields a nonzero remainder. Therefore, 12 is the nonfactor.

### Example Question #8 : Division

Solve for

Explanation:

In order to solve for , we'll need to move all of the variables on its side to the other side of the equation.

We can see that  is currently the denominator to , so we need to move the  in order to solve for .

To move the , we'll have to divide it on the other side. Keep in mind though that the  is in the numerator, so it will stay in the numerator when it divides over.

We cannot proceed with the question as there is nothing left to do. Our variables are different and the  can stay where it is.

### Example Question #9 : Division

Solve for

Explanation:

In order to solve for , we need to move all the numbers and variables to the other side of the equation.

We can see that  is currently being multiplied by . In order to move the , we need to divide it on the other side of the equation.

Both  and  can be divided by , which in turn gets rid of the  in the denominator.

We cannot proceed any farther since there is nothing left to do in the equation.

### Example Question #10 : Division

Solve for

Explanation:

In order to solve for , we'll need to move all the other variables to the other side of the equation. Currently  is stuck to , so we need to move the  to the other side.

In order to move , we'll have to divide it to the other side of the equation.

Since all the variables are different, we cannot do anything else to simplify this equation.