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GED Math : Numbers

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4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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Example Question #31 :Decimals And Fractions

Above is the menu for a coffee shop. Today, the shop has a special - buy two iced coffees of any size, and get a third iced coffee of the same size free.

Jerry orders three large iced coffees; Elaine orders two large cappucinos; George orders three butter croissants. List the three customers in ascending order by money spent. (You may ignore tax.)

Possible Answers:

George, Elaine, Jerry

George, Jerry, Elaine

Jerry, George, Elaine

Elaine, George, Jerry

Correct answer:

George, Jerry, Elaine

Explanation:

第三大以来冰咖啡是免费的,杰瑞·pays for two large iced coffees. He pays

$\$3.49 \times 2 = \$6.98$ .

Elaine pays for two large cappucinos. She pays

$\$3.89 \times 2 = \$7.78$ .

George pays for three butter croissants. He pays

$\$2.29 \times 3= \$6.87$ .

In ascending order by amount spent, the three are George, Jerry, Elaine.

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Example Question #32 :Decimals And Fractions

What is $17 \frac{2}{5}$ as an improper fraction?

Possible Answers:

$\frac{85}{5}$

$\frac{44}{5}$

$\frac{87}{5}$

$\frac{24}{5}$

Correct answer:

$\frac{87}{5}$

Explanation:

To convert a mixed number, (whole number and fraction), to an improper fraction, (a fraction whose numerator is greater than the denominator), the steps are as follows:

整个数量乘以th的分母e fraction. In this example the whole number is 17 and the denominator is 5.

17 x 5 =85

Then add the numerator to that total.

85 + 2 = 87

This total represents the numerator in the improper fraction. The denominator does not change.

Therefore the improper fraction would be $\frac{87}{5}$

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Example Question #33 :Decimals And Fractions

Add: $\frac{2}{3}+ 0.6+2$

Possible Answers:

$\frac{38}{15}$

$\frac{49}{15}$

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

$\frac{13}{5}$

$\frac{10}{3}$

Correct answer:

$\frac{49}{15}$

Explanation:

Convert the decimal to a fraction.

$0.6 =\frac{60}{100}= \frac{3}{5}$

Rewrite the expression.

$\frac{2}{3}+ 0.6+2=\frac{2}{3}+ \frac{3}{5}+2$

Identify the least common denominator and convert the fractions.

$\frac{2}{3}+ \frac{3}{5}+2 = \frac{10}{15}+\frac{9}{15}+\frac{30}{15} = \frac{49}{15}$

The answer is: $\frac{49}{15}$

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Example Question #34 :Decimals And Fractions

What is a quarter of 492?

Possible Answers:

212

246

123

Correct answer:

123

Explanation:

找到一个整数的一小部分,我们将乘iply the fraction by the whole number.

Now, we knowa quarteris the same as $\frac{1}{4}$ . So, we get

$\frac{1}{4} \cdot 492$

$\frac{1}{4} \cdot \frac{492}{1}$

$\frac{1 \cdot 492}{4 \cdot 1}$

$\frac{492}{4}$

123

Therefore, a quarter of 492 is 123.

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Example Question #35 :Decimals And Fractions

What is half of 120?

Possible Answers:

100

Correct answer:

Explanation:

找到一个整数的一小部分,我们将乘iply the fraction by the whole number.

Now, we know thathalfis the same as $\frac{1}{2}$ . So, we will multiply. We get

$\frac{1}{2} \cdot 120$

$\frac{1}{2} \cdot \frac{120}{1}$

$\frac{1 \cdot 120}{2 \cdot 1}$

$\frac{120}{2}$

Therefore, half of 120 is 60.

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Example Question #36 :Decimals And Fractions

What is $\frac{2}{3}$ of $\frac{9}{10}$ ?

Possible Answers:

$\frac{2}{3}$

$\frac{20}{30}$

$\frac{11}{13}$

$\frac{3}{5}$

Correct answer:

$\frac{3}{5}$

Explanation:

To find a fraction of a number, we will multiply the two together. So, we get

$\frac{2}{3} \cdot \frac{9}{10}$

Now, we can simplify before we multiply. The 3 and the 9 can both be divided by 3. So, we get

$\frac{2}{1} \cdot \frac{3}{10}$

$\frac{2 \cdot 3}{1 \cdot 10}$

$\frac{6}{10}$

Now, we simplify.

$\frac{3}{5}$

Therefore, $\frac{2}{3}$ of $\frac{9}{10}$ is $\frac{3}{5}$ .

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Example Question #37 :Decimals And Fractions

Multiply the following:

$\frac{4}{5} \cdot 25$

Possible Answers:

Correct answer:

Explanation:

To multiply fractions, we will multiply the numerators together, then we will multiply the denominators together. So, we get

$\frac{4}{5} \cdot 25$

$\frac{4}{5} \cdot \frac{25}{1}$

Now, we can simplify to make things easier. The 5 and the 25 can both be divided by 5. So, we get

$\frac{4}{1} \cdot \frac{5}{1}$

$\frac{4 \cdot 5}{1 \cdot 1}$

$\frac{20}{1}$

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Example Question #38 :Decimals And Fractions

Divide the following:

$\frac{2}{5} \div \frac{1}{2}$

Possible Answers:

$\frac{3}{10}$

$\frac{1}{5}$

$\frac{3}{7}$

$\frac{4}{5}$

Correct answer:

$\frac{4}{5}$

Explanation:

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

$\frac{2}{5} \cdot \frac{2}{1}$

$\frac{2 \cdot 2}{5 \cdot 1}$

$\frac{4}{5}$

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Example Question #41 :Decimals And Fractions

What is a fifth of 300?

Possible Answers:

Correct answer:

Explanation:

找到一个整数的一小部分,我们将乘iply the fraction by the whole number.

So, we know五分之一is the same as $\frac{1}{5}$ . Now, we can multiply.

$\frac{1}{5} \cdot 300$

$\frac{1}{5} \cdot \frac{300}{1}$

$\frac{1 \cdot 300}{5 \cdot 1}$

$\frac{300}{5}$

Therefore, $\frac{1}{5}$ of 300 is 60.

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Example Question #42 :Decimals And Fractions

What is $\frac{2}{3}$ of 144 ?

Possible Answers:

121

Correct answer:

Explanation:

找到一个整数的一小部分,我们将乘iply the two together. So, we get

$\frac{2}{3} \cdot 144$

$\frac{2}{3} \cdot \frac{144}{1}$

Now, we can simplify before we multiply. The 3 and the 144 can both be divided by 3. So, we get

$\frac{2}{1} \cdot \frac{48}{1}$

$\frac{2 \cdot 48}{1 \cdot 1}$

$\frac{96}{1}$

Therefore, $\frac{2}{3}$ of 144 is 96.

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GED Math : Numbers

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #31 :Decimals And Fractions

Example Question #32 :Decimals And Fractions

Example Question #33 :Decimals And Fractions

Example Question #34 :Decimals And Fractions

Example Question #35 :Decimals And Fractions

Example Question #36 :Decimals And Fractions

Example Question #37 :Decimals And Fractions

Example Question #38 :Decimals And Fractions

Example Question #41 :Decimals And Fractions

Example Question #42 :Decimals And Fractions

All GED Math Resources

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