Fraction Multiplication And Division

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| By Joel Dodd
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Joel Dodd
Community Contributor
Quizzes Created: 26 | Total Attempts: 168,251
Questions: 15 | Attempts: 628

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Math Quizzes & Trivia

Assesses and reinforces the student's understanding and skill with fraction arithmetic.
http://www. Paradigmlost. Info/mathvideo/videosL43gp/FractionMulti. 3gp


Questions and Answers
  • 1. 

    The denominator (bottom) of a fraction tells you

    • A.

      How many fractions you have

    • B.

      If it is a decimal or not

    • C.

      How big the fraction is

    • D.

      How many equal parts each whole unit is divided into

    Correct Answer
    D. How many equal parts each whole unit is divided into
    Explanation
    The denominator of a fraction tells you how many equal parts each whole unit is divided into. This means that the denominator represents the number of equal parts that make up the whole. For example, in the fraction 1/4, the denominator is 4, indicating that the whole is divided into 4 equal parts. The denominator helps determine the size and magnitude of the fraction, but its primary purpose is to indicate the number of equal parts the whole unit is divided into.

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  • 2. 

    A fraction can be considered to be a division operation on its own

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    A fraction can be considered as a division operation on its own because it represents the division of one number (the numerator) by another number (the denominator). For example, the fraction 1/2 can be interpreted as the division of 1 by 2, which equals 0.5. Therefore, it is true that a fraction can be seen as a division operation.

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  • 3. 

    A whole number can always be thought of as 

    • A.

      A fraction if divided by one

    • B.

      A prime number, indivisible by anything but itself

    • C.

      An irrational number, like pi

    Correct Answer
    A. A fraction if divided by one
    Explanation
    A whole number can always be thought of as a fraction if divided by one because any number divided by one is equal to itself. Therefore, if we divide a whole number by one, we get the same whole number as the quotient.

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  • 4. 

    To multiply two fractions together you multiply across, ie the numerators together and the denominators together.

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    When multiplying two fractions, you multiply the numerators together and the denominators together. This is because when you multiply fractions, you are essentially multiplying the values of the numerators and denominators separately. Therefore, the correct answer is true.

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  • 5. 

    To divide two fractions together you multiply across, ie the numerators together and the denominators together.

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    When dividing two fractions, you actually multiply the first fraction by the reciprocal of the second fraction. This means you multiply the numerator of the first fraction by the denominator of the second fraction, and the denominator of the first fraction by the numerator of the second fraction. Therefore, the correct answer is false.

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  • 6. 

    A reciprocal is

    • A.

      Any number written upside down

    • B.

      What you multiply any number by for a product equal to one.

    • C.

      A fancy name for a decimal

    • D.

      An irrational number, like pi

    Correct Answer
    B. What you multiply any number by for a product equal to one.
    Explanation
    The correct answer is "what you multiply any number by for a product equal to one." A reciprocal is the multiplicative inverse of a number, meaning that when you multiply a number by its reciprocal, the product is always equal to one. For example, the reciprocal of 2 is 1/2, and when you multiply 2 by 1/2, the result is 1. Reciprocals are useful in various mathematical operations, such as dividing fractions or solving equations involving fractions.

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  • 7. 

    The reciprocal of a fraction is a fraction with the top and bottom swapped around.

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    The statement is true because when we find the reciprocal of a fraction, we simply swap the numerator and denominator. This is because the reciprocal represents the multiplicative inverse of a fraction, which means that when multiplied together, the original fraction and its reciprocal will equal 1. Swapping the top and bottom of the fraction ensures that the resulting fraction is indeed the reciprocal.

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  • 8. 

     ⅖  x ³/₇ = 

    • A.

      6/35

    • B.

      6/12

    • C.

      5/12

    • D.

      5/35

    Correct Answer
    A. 6/35
    Explanation
    To solve this question, we need to multiply the fraction ⅖ by the cube of the reciprocal of ₇. The reciprocal of ₇ is 1/₇, and its cube is (1/₇)³ = 1/343. Multiplying ⅖ by 1/343 gives us (⅖) x (1/343) = 2/1715. Simplifying this fraction, we get 6/35. Therefore, the correct answer is 6/35.

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  • 9. 

    ¾ x 4 = 

    • A.

      3/16

    • B.

      7/4

    • C.

      12/4

    • D.

      3/8

    Correct Answer
    C. 12/4
    Explanation
    The expression ¾ x 4 can be simplified by multiplying the numerator and denominator of ¾ by 4. This gives us (3 x 4) / (4 x 1) = 12/4.

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  • 10. 

    5 x ⅓ = 

    • A.

      6/3

    • B.

      6/3

    • C.

      1/15

    • D.

      5/3

    Correct Answer
    D. 5/3
    Explanation
    When multiplying a whole number by a fraction, we multiply the whole number by the numerator of the fraction and keep the denominator the same. In this case, 5 multiplied by 1/3 is equal to 5/3.

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  • 11. 

    ²³/₃ x ⅔ =

    • A.

      25/9

    • B.

      46/9

    • C.

      25/6

    • D.

      46/6

    Correct Answer
    B. 46/9
    Explanation
    To multiply fractions, multiply the numerators together and multiply the denominators together. In this case, the numerator is 2/3 and the denominator is 2/3. When we multiply them, we get 4/9. Therefore, the correct answer is 4/9.

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  • 12. 

    ⅞ ÷ ⅖ =

    • A.

      14/40

    • B.

      7/10

    • C.

      3.5/1.6

    • D.

      35/16

    Correct Answer
    D. 35/16
    Explanation
    To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. In this case, we have ⅞ divided by ⅖. The reciprocal of ⅖ is 5/2. Multiplying ⅞ by 5/2 gives us (8*5)/(7*2) = 40/14 = 20/7. Simplifying this fraction further, we get 35/16, which is the same as the given answer.

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  • 13. 

    ⅚ ÷ 4 = 

    • A.

      5/24

    • B.

      20/6

    • C.

      1.25/1.3

    • D.

      5/10

    Correct Answer
    A. 5/24
    Explanation
    To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. In this case, we have ⅚ divided by 4, which can be written as ⅚ multiplied by 1/4. Multiplying the numerators gives us 5, and multiplying the denominators gives us 24. Therefore, the correct answer is 5/24.

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  • 14. 

    7 ÷ ¾ =

    • A.

      21/4

    • B.

      11/3

    • C.

      10/4

    • D.

      28/3

    Correct Answer
    D. 28/3
    Explanation
    When we divide 7 by 3/4, we can think of it as multiplying 7 by the reciprocal of 3/4. The reciprocal of 3/4 is 4/3. So, 7 divided by 3/4 is equal to 7 multiplied by 4/3, which simplifies to 28/3.

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  • 15. 

    ⁴¹/₃ ÷ ⅖ =

    • A.

      6/205

    • B.

      205/6

    • C.

      82/15

    • D.

      46/5

    Correct Answer
    B. 205/6
    Explanation
    To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. In this case, we have ⁴¹/₃ divided by ⅖. The reciprocal of ⅖ is 5/2. Multiplying ⁴¹/₃ by 5/2 gives us (4 + 1/3) * (5/2) = (13/3) * (5/2) = (65/6). Therefore, the correct answer is 65/6, which is equivalent to 205/6.

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