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    Fractions Notations: Multiplication and Division (Please Check My Answers)

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    1. Find the prime factorization of 54.
    ____a. 2.2.2.3
    _x__b. 2.3.3.3
    ____c. 2.2.17
    ____d. 2.2.3.3

    2. Determine which of the following is divisible by 3.
    ____a. 3106
    ____b. 2251
    _x__c. 1239
    ____d. 1172

    3. Determine which of the following is divisible by 8.
    __x_a. 1336
    ____b. 1473
    ____c. 1534
    ____d. 1662

    4. Identify the denominator of 8/12.
    _x__a. 12 denominator
    ____b. 8
    ____c. 4
    ____d. 2/3

    5. In 1997, there were 3043 county governments in the United States. Of these, 3 were in Delaware. What was the ratio of county governments in Delaware to total county governments?
    ____a. 3043
    __x_b. 3043/3
    ____c. 3
    ____d. 3/3043

    6. Simplify: 32/32
    ____a. not defined
    ____b. 0
    _x__c. 1
    ____d. 32

    7. Multiply and simplify: 2/3.33
    ____a. 63
    ____b. 49
    ____c. 32
    __x_d. 22

    8. Multiply and simplify: 2/9.45/8
    _x__a. 5
    ____b. 5/4
    ____c. 4/5
    ____d. 1/4

    9. A house worth $123,500 was assessed for 4/5 of its value. What was the assessed value of the house?
    ____a. $30,875
    x___b. $98,800
    ____c. $111,150
    ____d. $154,375

    10. In 1997, there were 7900 bachelor's degrees earned in architecture, and 7/20 of the degrees were earned by women. How many women earned bachelor's degrees in architecture in 1997?
    ____a. 55,300
    ____b. 22,571
    ____c. 2765
    _x__d. 395

    11. Simplify: 16/28
    ____a. 1/12
    ____b. 2/7
    ____c. 5/12
    __x_d. 4/7

    12. find the reciprocal of 4/7.
    _x__a. 7/4
    ____b. 1 1/4
    ____c. 1 1/7
    ____d. 4/7

    13. Divide and simplify: 7/12 divide 4/3
    ____a. 7/9
    ____b. 7/16
    ____c. 1/3
    _x__d. 3/16

    14. Divide and simplify: 2/7 divide 6
    ____a. 2
    ____b. 12/7
    ____c. 4/7
    _x__d. 1/21

    15. simplify: (2/3)2 divide 4/5 divide 1/3 (this formula I had problem solving it, can you so the correct formula. Yours answer might be different from minds)
    ____a. 98/15
    ____b. 25/4
    ____c. 5/2
    _x__d. 5/3

    16. Solve: 3/5.x=9/20
    ____a. 100/27
    ____b. 4/3
    _x__c. 3/4
    ____d. 27/100

    17. solve: 2/3.x=18
    ____a. 30
    __x_b. 27
    ____c. 12
    ____d. 8

    18. A piece of florist's wire 7/8m long is to be cut into 14 pieces of the same lenght. What is the lenght of each piece? (I am having problem solving this formula also, can you show your formula is your answer is different from mind?)
    _x__a. 1/16m
    ____b. 1/14m
    ____c. 1/8m
    ____d. 1/7m

    19. A piece of ribbon 5/8 yard long is to be cut into 10 pieces of the same lenght. What is the lenght of each piece? ( can you show your formula on this one also same problem?)
    ____a. 1/32 yd
    _x__b. 1/16 yd
    ____c. 1/8 yd
    ____d. 1/5 yd

    20. 5/6 of a number is 3/4. What is the number? ( This one is difficult also, can you show formula?)
    ____a. 9/10
    ____b. 10/9
    ____c. 11/8
    ____d. 18/5

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    Solution Preview

    1. Find the prime factorization of 54.
    ____a. 2.2.2.3
    _x__b. 2.3.3.3
    ____c. 2.2.17
    ____d. 2.2.3.3
    54 = 2*3*3*3

    2. Determine which of the following is divisible by 3.
    ____a. 3106
    ____b. 2251
    _x__c. 1239
    ____d. 1172
    1239/3 = 413

    3. Determine which of the following is divisible by 8.
    __x_a. 1336
    ____b. 1473
    ____c. 1534
    ____d. 1662
    1336/8 = 167

    4. Identify the denominator of 8/12.
    _x__a. 12 denominator
    ____b. 8
    ____c. 4
    ____d. 2/3
    denominator is below the bar

    5. In 1997, there were 3043 county governments in the

    United States. Of these, 3 were in Delaware. What was the

    ratio of county governments in Delaware to total county

    governments?
    ____a. 3043
    __x_b. 3043/3
    ____c. 3
    ____d. 3/3043
    should be d: 3/3043

    6. Simplify: 32/32
    ____a. not defined
    ____b. ...

    Solution Summary

    Answers to 20 problems are checked. Work is included under each question in the solution to verfy the answers.

    $2.49

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