GED Math : Numbers

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #91 : Numbers

One-fourth of what number is 16 ? 

Possible Answers:

\displaystyle 24

\displaystyle 16

\displaystyle 64

\displaystyle 4

\displaystyle 32

Correct answer:

\displaystyle 64

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number. In this case, we do not know the whole number, but we do know the answer.  So, we can substitute what we know. So, we get

\displaystyle \frac{1}{4} \cdot x = 16

Now, we will solve for x. We get

\displaystyle \frac{1}{4} \cdot 4 \cdot x = 16 \cdot 4

\displaystyle x = 64

Example Question #92 : Numbers

What is \displaystyle \frac{1}{2} of \displaystyle \frac{4}{5} ?

Possible Answers:

\displaystyle \frac{1}{2}

\displaystyle \frac{4}{7}

\displaystyle \frac{2}{2.5}

\displaystyle \frac{1}{5}

\displaystyle \frac{2}{5}

Correct answer:

\displaystyle \frac{2}{5}

Explanation:

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

\displaystyle \frac{1}{2} \cdot \frac{4}{5}

\displaystyle \frac{1 \cdot 4}{2 \cdot 5}

\displaystyle \frac{4}{10}

\displaystyle \frac{2}{5}

Therefore, \displaystyle \frac{1}{2} of \displaystyle \frac{4}{5} is \displaystyle \frac{2}{5}.

Example Question #93 : Numbers

What is \displaystyle \frac{2}{5} of 25?

Possible Answers:

\displaystyle 25

\displaystyle 10

\displaystyle 15

\displaystyle 20

\displaystyle 5

Correct answer:

\displaystyle 10

Explanation:

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

\displaystyle \frac{2}{5} \cdot 25

\displaystyle \frac{2}{5} \cdot \frac{25}{1}

Now, we can simplify before we multiply. The 5 and the 25 can both be divided by 5. So, we get

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

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

\displaystyle \frac{10}{1}

\displaystyle 10

Therefore, \displaystyle \frac{2}{5} of 25 is 10.

Example Question #94 : Numbers

What is a third of 36?

Possible Answers:

\displaystyle 9

\displaystyle 10

\displaystyle 14

\displaystyle 13

\displaystyle 12

Correct answer:

\displaystyle 12

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number. 

Now, we know a third is the same as \displaystyle \frac{1}{3}. So, we get

\displaystyle \frac{1}{3} \cdot 36

\displaystyle \frac{1}{3} \cdot \frac{36}{1}

\displaystyle \frac{1 \cdot 36}{3 \cdot 1}

\displaystyle \frac{36}{3}

\displaystyle 12

Therefore, a third of 36 is 12.

Example Question #95 : Numbers

One-fifth of what number is 19 ?

Possible Answers:

\displaystyle 95

\displaystyle 45

\displaystyle 75

\displaystyle 65

\displaystyle 55

Correct answer:

\displaystyle 95

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number. In this case, we do not know the whole number, but we do know the answer. So, we can substitute what we know. So, we get

\displaystyle \frac{1}{5} \cdot x = 19

Now, we will solve for x. We get

\displaystyle \frac{1}{5} \cdot 5 \cdot x = 19 \cdot 5

\displaystyle x = 95

Example Question #96 : Numbers

What is a third of 42?

Possible Answers:

\displaystyle 13

\displaystyle 9

\displaystyle 12

\displaystyle 29

\displaystyle 14

Correct answer:

\displaystyle 14

Explanation:

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

Now, we know a third is the same as \displaystyle \frac{1}{3}. So, we get

\displaystyle \frac{1}{3} \cdot 42

 

\displaystyle \frac{1}{3} \cdot \frac{42}{1}

 

\displaystyle \frac{1 \cdot 42}{3 \cdot 1}

 

\displaystyle \frac{42}{3}

 

\displaystyle 14

 

Therefore, a third of 42 is 14.

Example Question #97 : Numbers

What is a quarter of 60?

Possible Answers:

\displaystyle 30

\displaystyle 10

\displaystyle 25

\displaystyle 45

\displaystyle 15

Correct answer:

\displaystyle 15

Explanation:

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

Now, we know a quarter is the same as \displaystyle \frac{1}{4}. So, we get

\displaystyle \frac{1}{4} \cdot 60

 

\displaystyle \frac{1}{4} \cdot \frac{60}{1}

 

\displaystyle \frac{1 \cdot 60}{4 \cdot 1}

 

\displaystyle \frac{60}{4}

 

\displaystyle 15

 

Therefore, a quarter of 60 is 15.

Example Question #98 : Numbers

What is \displaystyle \frac{2}{3} of 93?

Possible Answers:

\displaystyle 56

\displaystyle 23

\displaystyle 68

\displaystyle 62

\displaystyle 70

Correct answer:

\displaystyle 62

Explanation:

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

\displaystyle \frac{2}{3} \cdot 93

 

\displaystyle \frac{2}{3} \cdot \frac{93}{1}

 

Now, we can simplify to make things easier. The 3 and the 93 can both be divided by 3. So, we get

 

\displaystyle \frac{2}{1} \cdot \frac{31}{1}

 

\displaystyle \frac{2 \cdot 31}{1 \cdot 1}

 

\displaystyle \frac{62}{1}

 

\displaystyle 62

 

Therefore, \displaystyle \frac{2}{3} of 93 is 62.

Example Question #99 : Numbers

Find \displaystyle \frac{3}{4} of 88.

Possible Answers:

\displaystyle 72

\displaystyle 68

\displaystyle 66

\displaystyle 24

\displaystyle 54

Correct answer:

\displaystyle 66

Explanation:

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

\displaystyle \frac{3}{4} \cdot 88

 

\displaystyle \frac{3}{4} \cdot \frac{88}{1}

 

Now, we can simplify. The 4 and the 88 can both be divided by 4. So, we get

 

\displaystyle \frac{3}{1} \cdot \frac{22}{1}

 

\displaystyle \frac{3 \cdot 22}{1 \cdot 1}

 

\displaystyle \frac{66}{1}

 

\displaystyle 66

 

Therefore, \displaystyle \frac{3}{4} of 88 is 66.

Example Question #100 : Numbers

What is \displaystyle \frac{1}{3} of \displaystyle 54 ?

Possible Answers:

\displaystyle 41

\displaystyle 18

\displaystyle 27

\displaystyle 16

\displaystyle 13

Correct answer:

\displaystyle 18

Explanation:

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

\displaystyle \frac{1}{3} \cdot 54

\displaystyle \frac{1}{3} \cdot \frac{54}{1}

\displaystyle \frac{1 \cdot 54}{3 \cdot 1}

\displaystyle \frac{54}{3}

\displaystyle 18

Therefore, \displaystyle \frac{1}{3} of \displaystyle 54 is \displaystyle 18.

 

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