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

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