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Let's test our knowledge! Are you ready for our Fraction Quiz? Can you identify which fraction is bigger? Which is improper? What about the equivalent of a fraction? This quiz will test your current knowledge of fractions. Let's see who our class geniuses are! Fractions aren't that hard so let's see how you do!
Questions and Answers
1.
What fraction of this figure is shaded?
Correct Answer 3/4 6/8
Explanation The figure is divided into 8 equal parts. Out of these 8 parts, 6 parts are shaded. Therefore, the fraction of the figure that is shaded is 6/8, which can also be simplified to 3/4.
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2.
What fraction of this figure is NOT shaded?
A.
5/8
B.
3/4
C.
3/8
D.
1/2
Correct Answer C. 3/8
Explanation The fraction of the figure that is NOT shaded is 3/8. This means that 3 out of the 8 equal parts of the figure are not shaded.
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3.
Fill in the blank:
Correct Answer 1
4.
What Number in a fraction is the denominator?
A.
The top number
B.
The bottom number
Correct Answer B. The bottom number
Explanation The denominator is the bottom number in a fraction. It represents the total number of equal parts into which the whole is divided. For example, in the fraction 3/4, 4 is the denominator, indicating that the whole is divided into four equal parts. The numerator, on the other hand, is the top number and represents the number of parts we are referring to. In the same fraction, 3 is the numerator, indicating that we are referring to three out of the four equal parts.
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5.
Fill in the blank:
Correct Answer 2/3
6.
Describe this fraction as either proper, improper or mixed:
Correct Answer improper Improper
Explanation The given fraction is described as improper because the numerator is greater than or equal to the denominator. In this case, the word "improper" is repeated twice, which may be a typographical error.
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7.
What is 2/4 equal to?
A.
2/2
B.
1/2
C.
1/4
D.
4/2
Correct Answer B. 1/2
Explanation The fraction 2/4 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2. When we divide 2 by 2, we get 1, and when we divide 4 by 2, we get 2. Therefore, 2/4 is equal to 1/2.
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8.
What is 2/6 equal to?
A.
1/2
B.
3/4
C.
1/3
D.
2/5
Correct Answer C. 1/3
Explanation The fraction 2/6 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. When we simplify 2/6, we get 1/3.
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9.
What number is the numerator?
A.
The top number
B.
The bottom number
Correct Answer A. The top number
Explanation The numerator refers to the top number in a fraction. It represents the number of parts being considered or counted. In a fraction, the numerator is written above the line and indicates how many parts of the whole are being described.
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10.
If there are 4 pieces of cake and there used to be 6 what is the fraction represents the amount of cake left?
A.
1/2
B.
5/6
C.
4/3
D.
2/3
Correct Answer D. 2/3
Explanation The fraction 2/3 represents the amount of cake left. This can be determined by subtracting the number of pieces of cake left (4) from the original number of pieces (6), which gives us 2. The fraction 2/3 indicates that 2 out of the original 3 pieces of cake remain.
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11.
Describe this fraction as either proper, improper or mixed:
Correct Answer mixed Mixed
12.
Describe this fraction as either proper, improper or mixed:
Correct Answer proper Proper
Explanation The given answer is correct because the word "proper" is used to describe a fraction where the numerator is smaller than the denominator, indicating that it is less than one whole. In this case, the fraction is written as "proper,Proper," which suggests that both instances of the word "proper" are referring to the same fraction.
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13.
True or False:
A.
True
B.
False
Correct Answer B. False
Explanation The given answer is "False" because it is the opposite of "True".
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14.
True or False:
A.
False
B.
True
Correct Answer A. False
15.
How many 1/4's are in 1 3/4?
Correct Answer 7 7 quarters
Explanation The given answer of 7,7 quarters is correct because there are 4 quarters in a whole and 1 3/4 is equal to 7/4. So, dividing 7/4 by 1/4 gives us a quotient of 7, indicating that there are 7 quarters in 1 3/4.
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16.
Convert to an improper fraction:
Correct Answer 23/6
Explanation To convert a mixed number to an improper fraction, we multiply the whole number by the denominator and add the numerator. In this case, the whole number is 23 and the denominator is 6. Multiplying 23 by 6 gives us 138. Adding the numerator 23 to 138 gives us 161. Therefore, the improper fraction equivalent of 23/6 is 161/6.
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17.
Convert to an improper fraction:
Correct Answer 51/8
Explanation To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. In this case, the whole number is 51 and the denominator is 8. Multiplying 51 by 8 gives us 408, and adding the numerator 51 gives us a final numerator of 459. Therefore, the improper fraction equivalent of 51/8 is 459/8.
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18.
Convert to a Mixed Number:
Correct Answer 10/1/4 10 1/4
Explanation The given fraction 10/1/4 can be converted to a mixed number by dividing the whole number (10) by the denominator (4) and adding the resulting quotient (2) to the numerator (1). This gives us the mixed number 10 1/4.
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19.
Simplify this fraction:
Correct Answer 3/4
20.
Simplify this fraction:
Correct Answer 7/9
Explanation The given fraction, 7/9, cannot be simplified any further because the numerator and denominator do not have any common factors other than 1. Therefore, the fraction remains the same as the original.
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