Test Your Fractions Knowledge! Trivia Quiz

1. Fill in the blank with the correct symbol: 8/10 ____ 3/8

=

>

The correct symbol to fill in the blank is ">". This is because 8/10 is greater than 3/8.

Explanation

The correct symbol to fill in the blank is ">". This is because 8/10 is greater than 3/8.

2. Fractions can be written using two whole numbers separated by a bar. The number above the bar is called the ___________ and the number below the bar is called the ____________.

Mixed number, improper fraction

Denominator, numerator

Numerator, denominator

Fractions can be written using two whole numbers separated by a bar. The number above the bar is called the numerator and the number below the bar is called the denominator.

Explanation

Fractions can be written using two whole numbers separated by a bar. The number above the bar is called the numerator and the number below the bar is called the denominator.

3. What fraction is represented by the shaded portion of this pie?

1/2

6/8

5/8

The shaded portion of the pie represents 5/8 of the whole pie.

Explanation

The shaded portion of the pie represents 5/8 of the whole pie.

4. Which of the following fractions is closest to one whole?

4/8

7/12

3/4

To determine which fraction is closest to one whole, we need to compare the denominators. The fraction 3/4 has the largest denominator among the given options, which means it is divided into smaller parts compared to the other fractions. Therefore, 3/4 is the closest to one whole, as it is divided into fewer parts and is closer to the value of 1.

Explanation

To determine which fraction is closest to one whole, we need to compare the denominators. The fraction 3/4 has the largest denominator among the given options, which means it is divided into smaller parts compared to the other fractions. Therefore, 3/4 is the closest to one whole, as it is divided into fewer parts and is closer to the value of 1.

5. Mary bought a container of mixed nuts from the grocery store. The nutrition label claims that the container has 100 nuts and that 2/5 of the nuts are pecans. How many nuts are pecans?

20

40

60

The nutrition label states that 2/5 of the nuts in the container are pecans. To find the number of pecans, we need to calculate 2/5 of the total number of nuts. Since there are 100 nuts in total, we can multiply 100 by 2/5 to find the number of pecans. Simplifying the fraction, 2/5 is equal to 40/100. Therefore, 40 nuts in the container are pecans.

Explanation

The nutrition label states that 2/5 of the nuts in the container are pecans. To find the number of pecans, we need to calculate 2/5 of the total number of nuts. Since there are 100 nuts in total, we can multiply 100 by 2/5 to find the number of pecans. Simplifying the fraction, 2/5 is equal to 40/100. Therefore, 40 nuts in the container are pecans.

6. 5/4 - 2/3 =

3

7/12

15/12

To subtract fractions, we need to have a common denominator. The common denominator for 4 and 3 is 12. We then convert 5/4 and 2/3 into fractions with a denominator of 12. 5/4 becomes 15/12 (by multiplying the numerator and denominator by 3) and 2/3 becomes 8/12 (by multiplying the numerator and denominator by 4). Now that both fractions have the same denominator, we can subtract them. 15/12 - 8/12 equals 7/12. Therefore, the correct answer is 7/12.

Explanation

To subtract fractions, we need to have a common denominator. The common denominator for 4 and 3 is 12. We then convert 5/4 and 2/3 into fractions with a denominator of 12. 5/4 becomes 15/12 (by multiplying the numerator and denominator by 3) and 2/3 becomes 8/12 (by multiplying the numerator and denominator by 4). Now that both fractions have the same denominator, we can subtract them. 15/12 - 8/12 equals 7/12. Therefore, the correct answer is 7/12.

7. 1/2 + 3/4 = ______

One and one-half

One and one-fourth

Four-sixths

The given question asks for the sum of 1/2 and 3/4. To find the sum, we need to have a common denominator. The common denominator of 2 and 4 is 4. Converting 1/2 to have a denominator of 4, we get 2/4. Adding 2/4 and 3/4 gives us a total of 5/4. In mixed number form, 5/4 is equal to one and one-fourth.

Explanation

The given question asks for the sum of 1/2 and 3/4. To find the sum, we need to have a common denominator. The common denominator of 2 and 4 is 4. Converting 1/2 to have a denominator of 4, we get 2/4. Adding 2/4 and 3/4 gives us a total of 5/4. In mixed number form, 5/4 is equal to one and one-fourth.

8. Which of the following is a TRUE statement?

2/3 is less than 3/4

3/4 is less than 2/3

1/2 is greater than 7/8

The statement "2/3 is less than 3/4" is true because when comparing fractions, if the numerator of one fraction is smaller than the numerator of another fraction, and the denominators are the same, then the fraction with the smaller numerator is smaller. In this case, both fractions have the same denominator of 4, but the numerator of 2/3 (2) is smaller than the numerator of 3/4 (3), indicating that 2/3 is indeed less than 3/4.

Explanation

The statement "2/3 is less than 3/4" is true because when comparing fractions, if the numerator of one fraction is smaller than the numerator of another fraction, and the denominators are the same, then the fraction with the smaller numerator is smaller. In this case, both fractions have the same denominator of 4, but the numerator of 2/3 (2) is smaller than the numerator of 3/4 (3), indicating that 2/3 is indeed less than 3/4.

9. Which fraction shows 8/24 written in lowest terms?

1/3

4/12

2/6

To find the fraction 8/24 in lowest terms, we need to simplify it by dividing both the numerator and denominator by their greatest common divisor. The greatest common divisor of 8 and 24 is 8. Dividing both numerator and denominator by 8 gives us 1/3. Therefore, 1/3 is the fraction that shows 8/24 written in lowest terms.

Explanation

To find the fraction 8/24 in lowest terms, we need to simplify it by dividing both the numerator and denominator by their greatest common divisor. The greatest common divisor of 8 and 24 is 8. Dividing both numerator and denominator by 8 gives us 1/3. Therefore, 1/3 is the fraction that shows 8/24 written in lowest terms.

10. Which fraction is the greatest?

7/6

9/8

13/12

The fraction 7/6 is the greatest because when comparing fractions, we look at the numerator (the number on top) and the denominator (the number on the bottom). In this case, the numerator of 7/6 is larger than the numerators of 9/8 and 13/12, while the denominator of 7/6 is the same as the denominator of 13/12 and larger than the denominator of 9/8. Therefore, 7/6 is the greatest fraction among the given options.

Explanation

The fraction 7/6 is the greatest because when comparing fractions, we look at the numerator (the number on top) and the denominator (the number on the bottom). In this case, the numerator of 7/6 is larger than the numerators of 9/8 and 13/12, while the denominator of 7/6 is the same as the denominator of 13/12 and larger than the denominator of 9/8. Therefore, 7/6 is the greatest fraction among the given options.

11. John's family ordered pizza last night. John ate half of the pizza. John's sister ate 2/3 of the remaining pizza. How much of the whole pizza did John's sister eat?

2/3

1/3

3/5

John ate half of the pizza, leaving the other half. John's sister then ate 2/3 of the remaining pizza. Since there was only half of the pizza left after John ate, 2/3 of that remaining half would be 1/3 of the whole pizza. Therefore, John's sister ate 1/3 of the whole pizza.

Explanation

John ate half of the pizza, leaving the other half. John's sister then ate 2/3 of the remaining pizza. Since there was only half of the pizza left after John ate, 2/3 of that remaining half would be 1/3 of the whole pizza. Therefore, John's sister ate 1/3 of the whole pizza.

12. What fraction of the pie is represented by the largest piece?

2/5

1/3

1/5

The largest piece of the pie represents one-third of the whole pie.

Explanation

The largest piece of the pie represents one-third of the whole pie.

13. Zax has a candy bar that is 16 and a half inches long. He wants to equally split it among himself and 4 friends. How long will each piece of candy be?

3 1/10 inches

4 inches

64 inches

Zax has a candy bar that is 16 and a half inches long. To equally split it among himself and 4 friends, he needs to divide the length of the candy bar by the total number of people (Zax + 4 friends). Therefore, the length of each piece of candy will be 16.5 divided by 5, which equals 3 1/10 inches.

Explanation

Zax has a candy bar that is 16 and a half inches long. To equally split it among himself and 4 friends, he needs to divide the length of the candy bar by the total number of people (Zax + 4 friends). Therefore, the length of each piece of candy will be 16.5 divided by 5, which equals 3 1/10 inches.