26. Divide a leap year into 102 equal parts.

27. Divide a common year into 102 equal parts.

28. If 15 loads of hay contain 35 T. 4cwt., what is the weight of each load?

29. Divide 371bu. 1pk. cf wheat equally among 270 men what will each receive?

Ans. 1bu. 1pk. 4qt.

456

Ans. 15

41

5. Reduce 1296 to its lowest terms.

3024

7. Reduce 123 to its lowest terms.

8. Reduce 45 to its equivalent improper fraction.

9. Reduce 16 18 to an improper fraction. Ans. 1618

100

10. Reduce 14913 to an improper fraction.

11. Reduce 12410 to a whole or mixed number.

19

100

Ans. 653. 12. In 67856 of pounds of sugar: how many pounds?" 13. In 22085 of hhd. of wine: how many hhd.?

360

Ans. 61125hhd.

360

14. In 354 bushels of wheat: how many bushels? 15. Reduce of 2 of 1 of 7 of } to a simple fraction.

Ans. 12.

of 9 of 4 of 21 dollars: how many dollars?
of of of of of 40 to a simple frac-

16. In
17. Reduce

tion.

18. I bought

19. Sold of did I sell?

Ans. 55.

of 3 of a ship: what part did I buy?
of 265 of yards of cloth: how many
Ans. 131.

20. In of 15% of 57% of 100 hogsheads of sugar: how many hogsheads?

504

63 7 1

21. Reduce 3, 7, 8 and 5 to a common denominator. Ans. 14, 143, 563, 324. 22. What is the least common denominator of 2, 3, 3, 23. What is the common denominator of 3, 5, and 121?

3/?

888 72 72 72.

Ans. 54 60

24. Reduce 2, 3 and 5 of 11 to a common denominator. 25. What is the common denominator of of 3 of 2,

of of 81, and 3 of 9?

Ans. 20 153 168

30 30 30.

26. What is the common denominator of of 2 of 3 of 3 of 1 of 4, of 5 of 1 of 61 of 1 of 8, and 3 of?

TO REDUCE FRACTIONS

of 21 of 3

FROM A LOWER DENOMINATION TO A HIGHER.

1. Reduce of a pound to the fraction of a cut.

2. If you study Arithmetic

part is it of a week?

Ans. cwt.

part of an hour: what

3. Bought of a pint of filberts: what part of a hogshead?

4. What part of a mile is 5 furlongs?

5. Bought 376. of cloves: what part of a ton?

Ans.

3

Ans. 8960

6. If a fly steps of a barley corn, what part is it of a league?

7. If a stone covers of a square inch of land, what part of an acre does it occupy? Ans. 25090560

3

8. Bought of 3 pounds of raisins, what part of a cwt.? 9. What part of a barrel is of 5 of 61 of a pint?

25

Ans. 367

10. What part of a year is of of 21 of 3 of an hour?

11. What is of 2 of 400 bushels of wheat? Ans. 4663 bushels.

TO REDUCE FRACTIONS

TO INTEGERS OF LOWER DENOMINATIONS.

1. Reduce of a cut. of sugar to the lower denominations. Ans. 3qr. 3lb. 1oz. 12ĝdr. 2. I bought of a hhd. of wine: how many gallons did I buy?

640

3. Reduce 107 of a pound of laudanum to the lower denominations. Ans. 23. 3gr.

4. What is the value of

5. A goldsmith received

the value?

of an acre?

of a pound of gold: what is Ans. 13oz. 14pwt. 69gr.

6. What is the value of 3 of a chaldron of coal?

7. What is the value of of a yard?

Ans. 2ft. 8in. 1bar. 8. A man travelled of a mile: how many furlongs? 9. Reduce of a day to the lower denominations. Ans. 12hr. 55m. 23}sec.

TO REDUCE FRACTIONS

FROM A HIGHER TO A LOWER DENOMINATION.

1. What is the value in grains of 800 pounds Troy?

Ans. 1gr.

2. What part of an inch is

of an Ell English?

3. What part of a quart is

of a tun?

Ans. 12qt.

4. What is the value in gills of of 11 of 23 of a hhd. ?

TO REDUCE

A DENOMINATE NUMBER TO A FRACTION OF A GIVEN

DENOMINATION.

1. What part of a ton is 13cwt. 3qr. 201b.?

Ans. 38. 2. What part of 4cwt. 1qr. 24lb. is 3cwt. 3qr. 1776. ? 3. What part of a pound Troy is 10oz. 13pwt. 8gr.?

Ans. 8.

4. What part of a cord is 19ft. 1196in.? 5. What part of a mile is 13fur. 21rd. 18ft. 10in. 173bar.? Ans. 16395.

20592

ADDITION OF VULGAR FRACTIONS.

1. I bought 22 bushels of wheat at one time, 1952 at another, and 335 at another: how much did I buy in all? Ans. 75209bu.

2. What is the sum of 263, 187, 193, 131, and 117? 3. A farmer owns three farms; the first contains 471}} acres, the second 71410, and the third 1812: how many acres in all? Ans. 136837 acres. 4. Bought of 3 of 5cwt. of sugar at one time; at another, of 5 of 6cwt.; at another, of of 8cwt.: how much did I buy?

5. What is the value of

9

of a ton, and of a cut? Ans. 12cwt. 1gr. 8lb. 12, 8oz.

the

6. How far is of a mile and of a furlong? 7. A man travelled 28 miles the first day, 33 second day, and 29 miles the third day: how far did he travel in all ? Ans. 90mi. 4fur. 15rd, 3ft. 114in. 8. Add 5 days and 525 minutes together, and give the whole time.

9. How many raisins are there in cwt. 85lb. and 31900%? Ans. 2qr. 171b. 1oz. 31dr. 10. Find the value of of a year, of a day, of of

an hour, and of 2 of a minute.

21

11. Bought 3 pieces of cloth; the first contained of 3 of of yards; the second of of 5; and the third of of: what did they all contain?

Ans. 2yd. 2qr. 1na.

12. Add together 3, 3, 13 and 1835.
13. Add together,12, 1 and 16.
14. Add together 382, 133 and 93.
15. Add together 62, 133, 173 and 1323.

Ans. 4181

Ans. 1695.

140

16. Add together of a week, of a day, and one

hour.

17. Add together 14cwt. 1737b. and 70%.

Ans. 1cwt. 1gr. 6lb. 27oz.

3. A man engaged to work 41 days, but was absent by indisposition 6 days: how many days did he work?

Ans. 34

days.

4. What remains of a hogshead of vinegar if of it has leaked out?

5. A man has travelled 4mi. 1fur. 24rd: how much farther must he go in order to make 6 miles?

6. From 1 take.

7. From 9 take 14.

Ans. 1mi. 6fur. 16rd.

Ans. 73.

8. From of a degree take

of a mile.

of an acre.

9. Take a square foot from

and

Ans. 1R. 18P. 5yd. 4ft.

6

10. A man sold of a house to one man, to another, to another: what part did he still own?

11. One man bought

4골

51

of cwt. of iron, another of 41

51cwt.: how much did one buy more than the other?

12. From of 12, take 19 of 1.
13. From of 11 of 7, take 1⁄2 of 3.

14. From 757, take

of 35.

Ans. 3120 drams.

15. From 1 of a £ take of a shilling.

1989

Ans. 437

Ans. £1 9s 3d.

16. From 1oz. take Zpwt.

17. From 8 cwt. take 49 lb.

Ans. 8cwt. 3qr. 7lb. 1oz. 93dr.

18. From 3176. Troy weight, take oz.

19. What is the difference between 13 rods and of an Ans. 21ft. 114in.

inch?