D - Operations With Fractions

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| By Deborah Eberhardt
D
Deborah Eberhardt
Community Contributor
Quizzes Created: 5 | Total Attempts: 3,526
| Attempts: 241
Quiz Lesson
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  • 1/9 Questions

    2/7 + 2/5

    • 4/35
    • 4/12
    • 2/35
    • 4/24
    • 24/35
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About This Quiz

The 'D - Operations With Fractions' quiz assesses skills in basic fraction operations, including addition, subtraction, multiplication, and division. It is designed to enhance understanding of fraction calculations, vital for academic success in mathematics.

D - Operations With Fractions - Quiz

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  • 2. 

    1/6 + 5/9

    • 6/15

    • 13/18

    • 7/18

    • 3/18

    • 1/18

    Correct Answer
    A. 13/18
    Explanation
    To find the sum of fractions, we need to have a common denominator. In this case, the common denominator is 18. Converting 1/6 to have a denominator of 18 gives us 3/18. Converting 5/9 gives us 10/18. Adding these fractions together gives us 13/18.

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  • 3. 

    8/11 ÷ 1/2

    • 16/11

    • 4/11

    • 10/11

    • 11/4

    • 5/12

    Correct Answer
    A. 16/11
    Explanation
    When dividing fractions, we invert the second fraction and multiply it with the first fraction. In this case, we have 8/11 divided by 1/2. Inverting 1/2 gives us 2/1. Multiplying 8/11 with 2/1, we get (8/11) * (2/1) = 16/11. Therefore, the correct answer is 16/11.

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  • 4. 

    9/14 - 1/4

    • 8/10

    • 11/28

    • 11/56

    • 7/28

    • 9/16

    Correct Answer
    A. 11/28
    Explanation
    The given expression is a subtraction of two fractions. To subtract fractions, we need to have a common denominator. The common denominator for 14 and 4 is 28. So, we convert the fractions 9/14 and 1/4 into fractions with a denominator of 28. 9/14 becomes 18/28 and 1/4 becomes 7/28. Now, we can subtract the fractions by subtracting their numerators while keeping the denominator the same. 18/28 - 7/28 equals 11/28. Therefore, the correct answer is 11/28.

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  • 5. 

    7/9 - 2/3

    • 5/27

    • 1/9

    • 2/9

    • 9 1/9

    • 6/11

    Correct Answer
    A. 1/9
    Explanation
    To subtract fractions, we need to have a common denominator. In this case, the common denominator is 9. So, we rewrite 7/9 as 7/9 * 3/3 and 2/3 as 2/3 * 3/3. This gives us (7 * 3 - 2 * 3) / 9 = 21/27 - 6/27 = 15/27. Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3, we get 5/9. Therefore, the correct answer is 5/27.

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  • 6. 

    5 ÷ 3/4

    • 6 2/3

    • 15/4

    • 2 2/3

    • 5 3/7

    • 8/20

    Correct Answer
    A. 6 2/3
    Explanation
    To divide a whole number by a fraction, we can multiply the whole number by the reciprocal of the fraction. In this case, we have 5 divided by 3/4. The reciprocal of 3/4 is 4/3. Multiplying 5 by 4/3 gives us 20/3, which is equivalent to 6 2/3. Therefore, the correct answer is 6 2/3.

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  • 7. 

    3 - 2/3

    • 1/3

    • 5 2/3

    • 2/3

    • 2 1/3

    • 3 1/3

    Correct Answer
    A. 2 1/3
    Explanation
    The given expression is 3 - 2/3. To subtract a fraction from a whole number, we need to convert the whole number into a fraction with the same denominator as the fraction. In this case, the denominator is 3. So, we convert 3 into a fraction by multiplying it by 3/3, which gives us 9/3. Now, we can subtract the fractions: 9/3 - 2/3 = 7/3. To express this as a mixed number, we divide the numerator (7) by the denominator (3), which gives us 2 with a remainder of 1. Hence, the answer is 2 1/3.

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  • 8. 

    1/12 * 4/7

    • 4/84

    • 4/21

    • 3/24

    • 9/12

    • 1/21

    Correct Answer
    A. 1/21
    Explanation
    The given expression is a multiplication of two fractions. To multiply fractions, we multiply the numerators together and the denominators together. In this case, 1 times 4 is 4, and 12 times 7 is 84. Therefore, the result of the multiplication is 4/84.

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  • 9. 

    11 * 7/11

    • 11

    • 77/11

    • 7

    • 11/29

    • 5/22

    Correct Answer
    A. 7
    Explanation
    The given expression is 11 multiplied by 7/11. When we multiply a number by a fraction, we can simplify the expression by canceling out any common factors between the numerator and denominator. In this case, the number 11 can be canceled out, leaving us with 7 as the result. Therefore, the correct answer is 7.

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  • Current Version
  • Apr 17, 2025
    Quiz Edited by
    ProProfs Editorial Team
  • Sep 27, 2017
    Quiz Created by
    Deborah Eberhardt
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