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Pretest for fractions to assess what students know going into the unit and create an assessment tool to show growth.
Questions and Answers
1.
Which fraction is equal to 1/2?
A.
3/4
B.
3/6
C.
2/8
D.
9/15
Correct Answer B. 3/6
Explanation The fraction 3/6 is equal to 1/2 because both fractions represent the same value. To simplify 3/6, we can divide both the numerator and denominator by their greatest common factor, which is 3. 3 divided by 3 is 1, and 6 divided by 3 is 2. Therefore, 3/6 simplifies to 1/2.
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2.
Reduce 9/12
Correct Answer 3/4
3.
Solve 3/8 + 2/8 =
Correct Answer 5/8
Explanation The given question is asking to add the fractions 3/8 and 2/8. Since the denominators of both fractions are the same, we can simply add the numerators together to get the numerator of the resulting fraction. Therefore, 3/8 + 2/8 = 5/8.
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4.
0.5 = ?
A.
1/4
B.
1/2
C.
1/5
D.
1/3
Correct Answer B. 1/2
5.
Which fraction is the greatest?
A.
1/2
B.
1/3
C.
1/4
D.
1/5
E.
1/6
Correct Answer A. 1/2
Explanation The fraction 1/2 is the greatest among the given options because the denominator is the smallest. When comparing fractions with the same numerator, the fraction with the smaller denominator is larger. In this case, all the fractions have a numerator of 1, but 1/2 has the smallest denominator of 2, making it the greatest fraction.
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6.
5/5 = ?
A.
5
B.
1/2
C.
5/10
D.
1
E.
0
Correct Answer D. 1
Explanation The given expression 5/5 equals 1 because when we divide any number by itself, the result is always 1. In this case, 5 divided by 5 equals 1.
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7.
Put these fractions in order from least to greatest. 1/3, 2/8, 1/2, 3/3, 6/8
Correct Answer 2/8, 1/3, 1/2, 6/8, 3/3
Explanation The fractions are ordered from least to greatest based on their decimal equivalents. To compare fractions with different denominators, we can convert them to fractions with a common denominator. In this case, we can convert all the fractions to eighths. The fractions 2/8, 1/3, 1/2, 6/8, and 3/3 can be converted to 1/4, 8/24, 12/24, 6/8, and 8/8 respectively. Ordering these fractions from least to greatest gives 1/4, 6/8, 8/24, 12/24, and 8/8. Simplifying these fractions further, we get 1/4, 3/4, 1/3, 1/2, and 1. Therefore, the correct order is 2/8, 1/3, 1/2, 6/8, 3/3.
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8.
9/10 - 5/10 =
Correct Answer 4/10, 2/5
Explanation The given expression is a subtraction of two fractions. To subtract fractions, we need a common denominator. In this case, the common denominator is 10. So, we rewrite 9/10 as 9/10 * 1/1 and 5/10 as 5/10 * 1/1. Now, we can subtract the numerators and keep the common denominator to get 4/10. Simplifying this fraction gives us 2/5. Therefore, the answer is 4/10, 2/5.
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9.
Write 18/10 as a mixed number.
Correct Answer 1 8/10, 1 4/5
Explanation The given answer is incorrect. To write 18/10 as a mixed number, we divide the numerator (18) by the denominator (10). The quotient is 1 with a remainder of 8. Therefore, the mixed number is 1 8/10.
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10.
Write 2 1/4 as an improper fraction.
Correct Answer 9/4
Explanation To convert a mixed number to an improper fraction, we multiply the whole number by the denominator of the fraction and add the numerator. In this case, we multiply 2 by 4 (the denominator) and add the numerator 1, which gives us 9. Therefore, the improper fraction equivalent of 2 1/4 is 9/4.
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11.
Reduce 10/12.
Correct Answer 5/6
12.
Convert 7/10 to a decimal.
Correct Answer 0.7
Explanation To convert a fraction to a decimal, divide the numerator (7) by the denominator (10). In this case, 7 divided by 10 equals 0.7. Therefore, the decimal equivalent of 7/10 is 0.7.
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13.
Convert 5/6 to a decimal.
Correct Answer about 0.03
Explanation To convert a fraction to a decimal, divide the numerator (5) by the denominator (6). When you divide 5 by 6, you get 0.8333333333333333. This can be rounded to approximately 0.83. Therefore, the correct decimal representation of 5/6 is about 0.83, not 0.03.
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14.
Add 6/12 + 1/6.
Correct Answer 8/12, 2/3
Explanation To add fractions, we need to have a common denominator. In this case, the common denominator is 12. We can convert 6/12 to 1/2 by dividing both the numerator and denominator by 6. So, 6/12 + 1/6 becomes 1/2 + 1/6. To add these fractions, we need to find a common denominator, which is 6. We can convert 1/2 to 3/6 by multiplying both the numerator and denominator by 3. Now, we have 3/6 + 1/6, which equals 4/6. Simplifying this fraction, we get 2/3. Therefore, the answer is 8/12, 2/3.
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15.
How do you reduce a fraction?
16.
What is a fraction?
17.
What else do you remember about fractions?
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