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Kate
Kate, Graduate Student
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Experience:  Literature, History, Politics, International Relations, Current Events
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penn foster general math 1 answers

Customer Question

Does anybody have the answers to general math 1 lessons?
Submitted: 7 years ago.
Category: Homework
Expert:  Kate replied 7 years ago.
Hi JC,

I'd love to help answer some of those math questions, but you'll have to post them for me. If you need specifics help in a given area of math: algebra, geometry, precalculus, I'd be more than happy to address it.
Customer: replied 7 years ago.
basically i need answers to check for fractions book# XXXXX if theres any problems, i'll send you a pdf file that contains these questions and multi-choices.   thanks!

1.) Which of the following pairs of numbers contain like fractions?
a. 6/7 & 1 5/7   c. 5/6 & 10/12
b. 3/2 & 2/3     d. 3 1/2 & 4 3/4

2.) 7 1/5 - 6 2/5?
a. 13 3/5 c. 4/5
b. 1 4/5 d. 1 1/5

3.) What is the sum of 2/5 & 2/4
a. 8/20 c. 10/20
b. 9/10 d. 6/7

4.) What is the least common denominator of 3/4, 4/5 & 2/3?
a. 20 c. 12
b. 15 d. 60

5.) What is the product of 3 2/3 & 14 2/5?
a. 52 4/15 c. 52 4/5
b. 54      d. 42 4/5

6.)Divide 6/13 by 6/12?
a. 12/13 c. 13/12
b. 1/12 b. 9/16

7.) Jane is making a suit which requires 2 5/8 yards for the jacket and 1 3/4 yards for the skirt. What is the total amount of material she needs?
a. 4 yards c. 3 1/2 yards
b. 3 2/3 yards d. 4 3/8 yards

8.) Which of the following is an example of a proper fraction?
a. 15/2 c. 6/6
b. 4/17 d. 11/10

9.) A bus on a regular schedule takes 3 1/4hours to reach its destination. The express bus takes 2 1/2hours to make the same trip. How much travel time can be saved by taking the express?
a. 5 3/4 c. 3/4hours
b. 1 1/4 d. 2 hours

10.) Ralph spends 15 1/3hours per month playing tennis. How many hours does he play tennis in a year? (There are twelve months in a year.)

a. 164 c. 182 2/3
b. 184 d. 164 1/3

11.) What is the reciprocal of 6/5?
a. 12/10 c. 1
b. 1 1/5 d. 5/6

12.) A family spends 1/10of its annual income for housing, 1/4 for food and clothing, 1/5 for general expenses, and 2/15 for entertainment. What fractional part of their income is spent on these items altogether?
a. 1/7 c. 6/41
b. 11/12 d. 41/60

13.) What is the fraction 18/24 reduced to its lowest terms?
a. 3/4 b. 9/12
c. 18/24 d. 24/18

14.) 7/8=?/48
a. 6 c. 42
b. 13 d. 1

15.) chef prepared five chocolate tortes for a dinner party. The guests consumed 2 5/16tortes. How many tortes are left?
a. 2 11/16 c. 2 9/16
b. 3 11/16 b. 3 9/16

16.) Write 10 5/12 as an equivalent improper fraction.
a. 10 12/5 c. 125/12
b. 120/12 d. 12/125

17.) Simone has 5 employees in her flower shop. Each employee works 6 4/15 hours per day. How many hours, in total, do the 5 employees work per day?
a. 30 c. 31 1/3
b. 28 d. 30 2/3

18.) 15 divide 6 2/3?
a. 100 1/4 c. 100
b. 2 1/4 d. 2 3/4

19.) What is the difference between 126 1/4 and 78 2/3?
a. 58 5/12 c. 48 1/3
b. 57 7/12 d. 47 7/12

20.)4/15 of the 315 members of a book club are male. How many female members are there in the club?
a. 84 c. 174
b. 131 d. 231
Expert:  Kate replied 7 years ago.
Thanks for getting back to me jc.

1. C. 5/6 and 10/12 are equivalent, for 5/6 is a reduction of 10/12 by 2.
2. C. To solve problems like this, multiply the denominator of the fraction by the whole number accompanying it, and then add the result to the numerator. 7 1/5 becomes 36/5, while 6 2/5 is 32/5. 36/5 - 32/5 is 4/5.
3. B. To solve this problem, find the common multiple of both denominators. In this case, 4 and 5 go into 20. Divide these numbers into twenty and then multiply them by the respective numerators, and you will get 8/20 + 10/20 = 18/20. This fraction can be reduced by 2 to 9/10.
4. D. What number can 3,4, and 5 all divide into given your options? 60.
5. C. First make the numbers into pure fractions 11/3 x 72/5. Reduce the equation before multiplying, and you will get 264/5, or 52 4/5.
6. A. To divide a fraction, multiply by its reciprocal.
7. D. Again, change the numbers to fractions, then find a common denominator, in this case 8, and add them together. Then reduce.
8. B. In this case, the other three options can be reduced to a whole integer and a fraction, as opposed to being a true fraction...less than one.
9. C. It is more helpful to view this problem as a non-mathematical one. 15 minutes is a quarter of an hour, so Bus 1 takes 3 hours and 15 minutes to get to the destination. Bus 2 only takes 2 hours and 30 minutes. That's a savings of 45 minutes, which you know is 3/4 of an hour.
10. B. Here, turn the 15 1/3 into a pure fraction of 46/3. Then multiply it by 12. You can divide 3 into both the denominator fo 46/3 and the numerator of 12/1, resulting in a nice full number of 184.
11. D. A reciprocal is literally a fraction turned upside down. That's it!
12. D. This looks more complicated than it is. Find the common denominator for 10,4, 5 and 15....it's 60. Converting the fractions gets you 6/60 + 15/60 + 12/60 + 8/60 = 41/60, which cannot be reduced further.
13. A. Divide both the numerator and denominator by their highest common factor, in this case, 6.
14. A. This is a reverse reduction. If you divide the smaller denominator into the larger one, you find that the increase is by a factor of 6. Just multiply the numerator by the same factor to get 42/48.
15.C. This is also best viewed non-REALLY-mathematically. If you have 5 tortes, and someone comes along and munches 5/16 of one, you have 4 tortes and 9/16 left of that first eaten torte. Then someone else comes along and scarfs two more...voila... 2 and 9/16 remain.
16. C. Multiply the denominator by the whole number and add it to the numerator. This is considered an improper fraction because it hasn't been reduced.
17. C. Don't let this trick you. Multiple the denominator by the whole number and add to the numerator like you've been doing...then multiply by 5 for the 5 employees. When you try to reduce...uh-oh, a repeating 3? 1/3 is the fractional equivalent of that repeating .333333.
18. B. Follow the same process all along, and remember dividing a fraction is the same as multiplying by the reciprocal.
19. C. Whew, just be patient with those large numbers...find a common denominator, in this case 12, convert, and subtract.
20. D. First I found out what 1/15 of 315 was. It's 21. So if 4/15 are boys, then 9/15 are girls. Multiply 9/15 *21 and there you go.

JC, I wish you luck on your test! Please Accept my answer and leave me some nice feedback if I've helped you, and let me know if I can help you in the future.
Kate, Graduate Student
Category: Homework
Satisfied Customers: 2
Experience: Literature, History, Politics, International Relations, Current Events
Kate and 5 other Homework Specialists are ready to help you
Customer: replied 7 years ago.
Hey there, thanks for the answers and checked, and we score 70% thank you so much, and thanks for the explanation for each answer.

1. answer a
14. answer c
15. answer a
19. answer d

next subject is decimals. i'll report back here later tonight or sometime this week.   just want to get throught this HS and get the diploma.
Customer: replied 7 years ago.

hi there, here are the decimal questions.

1.)Change the fraction 93/1,000 to decimal.

a. 0.93 c. 0.00093

b. 0.093 d. 0.00093

2.) John measured the diameter of four steel rods. Compare his measurements below. Which one is the largest?

a. 0.025 inch c. 0.24 inch

b. 0.026 inch d. 0.25 inch

3.) Change the fraction 13/20 to a decimal.

a. 0.015 C. 0.065

B. 0.15 D. 0.65

4.) A chemist weighed three separate test samples at 0.17 gram, 0.204 gram, and 2.3 grams. What is the total weight of the three samples?

A. 2.44 grams C. 2.674 grams

B. 2.521 grams D. 3.97 grams

5.) 11 + 1 + 0.01 + 0.11 + 0.111 = ?

A. 12.222 C. 13.23

B. 12.231 D. 15.21

6.) The layer of gold coating on a ring should be 0.03 millimeters thick when the ring is completed. A coating of 0.021 millimeters has already been applied. How many more millimeters of gold coating must be added to finish the ring?

A. 0.09 millimeters C. 0.009 millimeters

B. 0.18 millimeters D. 0.018 millimeters

7.) 36 - 0.0048 = ?

A. 36.0048 C. 35.9952

B. 35.0048 D. 35.1520

8. Kim works as a salesperson for a photo studio. To find his earnings for the week, he multiplies his total sales by 0.175. His sales for the week of October 10 total $2,507.47. What did he earn for the week? (Round your answer to the nearest cent.)

A. $388.06 C. $449.83

B. $438.81 D. $880.60

9.) A mechanic buys $14.56 worth of parts from a supplier. If he pays for the parts with a $20 bill, how much change will he receive?

A. $5.44 C. $6.44

B. $5.56 D. $6.56

10.) If a worker is paid $4.16 per hour and works 8.5 hours in one week, how much is she paid for that week?

A. $12.66 C. $50.10

B. $35.36 D. $54.08

11.) A group of employees bought a get-well gift for a coworker. The gift cost $16.06. If there are 22 employees in the group, how much does each employee need to contribute?

A. $.73 C. $1.33

B. $.75 D. $1.37

12.) 0.34 × 9 = ?

A. 30.6 C. 0.306

B. 3.06 D. 0.0306

13. A druggist is preparing a medication. Each capsule requires 0.007 gram of aspirin. He has 14 grams of aspirin. How many capsules can he prepare?

A. 200 C. 2,000

B. 500 D. 5,000

14.) 3.7 ÷ 1.1 = ? Round to the nearest hundredth.

A. 0.297 C. 4.07

B. 3.36 D. 4.8

 

15. A package of ground beef costs $6.98. The price per pound is $1.86. How many pounds of ground beef are in the package? Round to the nearest hundredth.

A. 3.55 C. 3.75

B. 3.64 D. 3.86

16.) If a 10-pound sack of potatoes costs $6.55, how much would 1 pound cost? Round your answer to

the nearest cent.

A. $.65 C. $1.65

B. $.66 D. $6.55

17.) Which one of the following is an example of a repeating decimal?

A. 0.6666666 (6) C. 0.123321

B. 6.787878 (78) D. 1.234545

18.) It costs the Quality Company $.14 per mile to run its van. On Monday the van traveled 87.6 miles.

How much did it cost to run the van that day? Round your answer to the nearest cent.

A. $1.23 C. $12.26

B. $6.57 D. $13.14

 

19. Change the fraction 4/13 to a decimal. Round off to the nearest thousandth.

A. 0.134 C. 0.325

B. 0.308 D. 0.413

20.) 7.2 × 12 × 0.23 = ? Round to the nearest hundredth.

A. 19.43 C. 19.87

B. 19.44 D. 19.88

 

 

 

 

Expert:  Kate replied 7 years ago.
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