D - Operations With Fractions

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| By Deborah Eberhardt
D
Deborah Eberhardt
Community Contributor
Quizzes Created: 5 | Total Attempts: 2,473
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D - Operations With Fractions - Quiz

Basic Operations with fractions. Simplify as much as possible


Questions and Answers
  • 1. 

    2/7 + 2/5

    • A.

      4/35

    • B.

      4/12

    • C.

      2/35

    • D.

      4/24

    • E.

      24/35

    Correct Answer
    E. 24/35
    Explanation
    The given expression is a sum of two fractions: 2/7 and 2/5. To add fractions, we need to find a common denominator. In this case, the common denominator is 35. We can convert both fractions to have a denominator of 35 by multiplying the numerator and denominator of the first fraction by 5, and the numerator and denominator of the second fraction by 7. This gives us (10/35) + (14/35), which simplifies to 24/35. Therefore, the correct answer is 24/35.

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  • 2. 

    8/11 ÷ 1/2

    • A.

      16/11

    • B.

      4/11

    • C.

      10/11

    • D.

      11/4

    • E.

      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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  • 3. 

    9/14 - 1/4

    • A.

      8/10

    • B.

      11/28

    • C.

      11/56

    • D.

      7/28

    • E.

      9/16

    Correct Answer
    B. 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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  • 4. 

    1/12 * 4/7

    • A.

      4/84

    • B.

      4/21

    • C.

      3/24

    • D.

      9/12

    • E.

      1/21

    Correct Answer
    E. 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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  • 5. 

    5 ÷ 3/4

    • A.

      6 2/3

    • B.

      15/4

    • C.

      2 2/3

    • D.

      5 3/7

    • E.

      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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  • 6. 

    11 * 7/11

    • A.

      11

    • B.

      77/11

    • C.

      7

    • D.

      11/29

    • E.

      5/22

    Correct Answer
    C. 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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  • 7. 

    1/6 + 5/9

    • A.

      6/15

    • B.

      13/18

    • C.

      7/18

    • D.

      3/18

    • E.

      1/18

    Correct Answer
    B. 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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  • 8. 

    3 - 2/3

    • A.

      1/3

    • B.

      5 2/3

    • C.

      2/3

    • D.

      2 1/3

    • E.

      3 1/3

    Correct Answer
    D. 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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  • 9. 

    7/9 - 2/3

    • A.

      5/27

    • B.

      1/9

    • C.

      2/9

    • D.

      9 1/9

    • E.

      6/11

    Correct Answer
    B. 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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