# 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

https://brainmass.com/math/number-theory/fractions-notations-multiplication-and-division-please-check-my-answers-44841

#### 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.