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GED Math : Division

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Example Question #1 : Division

Divide:

$1,265 \div 5$

Possible Answers:

253

283

213

263

223

Correct answer:

253

Explanation:

Use the long division process:

253

$\left.\begin{matrix} 5 \end{matrix}\right| \overline{1,265 }$

$\underline{1\; 0}$ 5 goes into 12 2 times; $5 \times 2 = 10$

$\begin{matrix} 26\\ \underline{25} \end{matrix}$ 5 goes into 26 5 times; $5 \times 5 = 25$

$\begin{matrix} 15\\ \underline{15} \end{matrix}$ 5 goes into 15 3 times; $5 \times 3 = 15$

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Example Question #1 : Division

Which of the following is an undefined expression?

Do not use a calculator.

Possible Answers:

$0 \div 100$

$100 \div 0$

0 - 100

100 - 0

Correct answer:

$100 \div 0$

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 $0 \div 100$ is defined and equal to zero. But zero cannot be a divisor. This makes $100 \div 0$ the undefined quantity.

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Example Question #1 : Division

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

Do not use a calculator.

Possible Answers:

Correct answer:

Explanation:

Use the long division process.

Thingy

The remainder is 18.

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Example Question #2 : 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?

Possible Answers:

$\$15.00$

$\$7.00$

$\$11.50$

$\$10.50$

Correct answer:

$\$11.50$

Explanation:

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

2 + 12 - 5 = 9 hours.

The bus will cost the students

$\$280 + \$20 \times 9 = \$280 + \$180 = \$460$ ,

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

$\$460 \div 40 = \$11.50$ .

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Example Question #5 : Division

Divide and rewrite as a mixed fraction: $\frac{198}{46}$

Possible Answers:

$4\frac{2}{23}$

$3\frac{7}{13}$

$4\frac{7}{23}$

$3\frac{8}{23}$

$\textup{The answer is not given.}$

Correct answer:

$4\frac{7}{23}$

Explanation:

Rewrite both the numerator and denominator using factors of two.

$\frac{198}{46} = \frac{99\times 2}{23\times 2}$

Reduce this fraction.

$\frac{99}{23}$

The number 99 goes into 23 four times, since $23\times 4 = 92$ , and will have a remainder of seven.

The answer is: $4\frac{7}{23}$

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Example Question #1 : Division

Divide the following:

$\frac{2}{3} \div \frac{1}{2}$

Possible Answers:

$\frac{1}{1.5}$

$\frac{2}{1.5}$

$\frac{3}{5}$

$\frac{4}{3}$

$\frac{1}{3}$

Correct answer:

$\frac{4}{3}$

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

$\frac{2}{3} \div \frac{1}{2}$

$\frac{2}{3} \cdot \frac{2}{1}$

$\frac{2 \cdot 2}{3 \cdot 1}$

$\frac{4}{3}$

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Example Question #1 : Division

Which number is not a factor of 66?

Possible Answers:

Correct answer:

Explanation:

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

$66 \div 6 = 11$

$66 \cdot 11 = 6$

$66 \div 12 = 5 \textrm{ R }6$

$66 \div 22 = 3$

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

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Example Question #1 : Division

Solve for $\small x$ : $\small \frac{2}{x}=y$

Possible Answers:

$\small x=\frac{2}{y}$

$\small x=\frac{1}{2}y$

$\small x=2y$

$\small x=y^2$

$\small x=\frac{y}{2}$

Correct answer:

$\small x=\frac{2}{y}$

Explanation:

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

We can see that $\small x$ is currently the denominator to $\small 2$ , so we need to move the $\small 2$ in order to solve for $\small x$ .

To move the $\small 2$ , we'll have to divide it on the other side. Keep in mind though that the $\small 2$ is in the numerator, so it will stay in the numerator when it divides over.

$\small \frac{2}{x}=y$

$\small x=\frac{2}{y}$

We cannot proceed with the question as there is nothing left to do. Our variables are different and the $\small 2$ can stay where it is.

Our answer is $\small x=\frac{2}{y}$

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Example Question #3 : Division

Solve for $\small x$ : $\small 2x=6y+4z$

Possible Answers:

$\small x=\frac{2}{6y+4z}$

$\small x=12y+8z$

$\small x=\frac{3y+2z}{2}$

$\small x=\frac{6y+4z}{2}$

$\small x=3y+2z$

Correct answer:

$\small x=3y+2z$

Explanation:

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

We can see that $\small x$ is currently being multiplied by $\small 2$ . In order to move the $\small 2$ , we need to divide it on the other side of the equation.

$\small 2x=6y+4z$

$\small x=\frac{6y+4z}{2}$

Both $\small 6$ and $\small 4$ can be divided by $\small 2$ , which in turn gets rid of the $\small 2$ in the denominator.

$\small x=3y+2z$

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

Our answer is $\small x=3y+2z$

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Example Question #10 : Division

Solve for $\small n$ : $\small nm=p+r$

Possible Answers:

$\small n=\frac{p}{m}+r$

$\small n=pm+rm$

$\small n=p+r+m$

$\small n=p+\frac{r}{m}$

$\small n=\frac{p+r}{m}$

Correct answer:

$\small n=\frac{p+r}{m}$

Explanation:

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

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

$\small nm=p+r$

$\small n=\frac{p+r}{m}$

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

Our answer is $\small n=\frac{p+r}{m}$

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GED Math : Division

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #1 : Division

Example Question #1 : Division

Example Question #1 : Division

Example Question #2 : Division

Example Question #5 : Division

Example Question #1 : Division

Example Question #1 : Division

Example Question #1 : Division

Example Question #3 : Division

Example Question #10 : Division

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