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. 4gt.

Ans. 1618

100

8. Reduce 457 to its equivalent improper fraction.

9. Reduce 16 to an improper fraction.

18 100

10. Reduce 14913 to an improper fraction.

11. Reduce 12410 to a whole or mixed number.

19

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.

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

8

Ans. 11.

of of 21 dollars: how many dollars?
of 2 of of of of 40 to a simple frac-
Ans. 5.

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

20. In of 157 of 5% of 100 hogsheads of sugar: how many hogsheads?

21. Reduce 3, 7, 8 and 5 to a common denominator. Ans. 14, 441, 504, 324.

63 63 63 63

22. What is the least common denominator of 3, 7, 1

67

23. What is the common denominator of 3, 5, and 12}? Ans. 54, 99, 12.

60 888 729 729 72'

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

of of 81, and 3 of 91?

Ans. 20 153 168

30 30 30

26. What is the common denominator of of 2 of 3 of 3 of of 4, of 5 of of 6 of of 8, and 3 of 1?

of 21 of 31

TO REDUCE FRACTIONS

FROM A LOWER DENOMINATION TO A HIGHER.

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

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. 2

3

Ans. 8960

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

3

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

Ans. 25

567

10. What part of a year is of of 21 of 31 of an hour?

11. What is of 23 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 denomina

tions.

2. I bought

I buy?

3. Reduce denominations.

Ans. 3qr. 3lb. 1oz. 12 dr.

of a hhd. of wine: how many gallons did

of a pound of laudanum to the lower

4. What is the value of

5. A goldsmith received

the value?

of an acre?

Ans. 23.3gr.

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

44

of a yard?

Ans. 2ft. 8in. 13bar. 8. A man travelled of a mile: how many furlongs? of a day to the lower denominations. Ans. 12hr. 55m. 23}sec.

9. Reduce

TO REDUCE FRACTIONS

FROM A HIGHER TO A LOWER DENOMINATION.

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

Ans. 1gr. 2. What part of an inch is of an Ell English? 1 of a tun? Ans. 13qt.

45

3. What part of a quart is 376

4. What is the value in gills of 3 of 11 of 23 of a hhd.?

TO REDUCE

A DENOMINATE NUMBER TO A FRACTION OF A GIVEN

DENOMINATION.

Ans. 3.

1. What part of a ton is 13cwt. 3qr. 20lb. ? 2. What part of 4cwt. 1qr. 24lb. is 3cwt. 3qr. 177b.? 3. What part of a pound Troy is 10oz. 13pwt. 8gr.?

4. What part of a cord is 19ft. 1196in.? 5. What part of a mile is 13fur. 21rd. 18ft. 10in. 1}}bar.?

ADDITION OF VULGAR FRACTIONS.

1. I bought 22 bushels of wheat at one time, 19 at another, and 335 at another: how much did I buy in all? Ans. 7520bu.

252

2. What is the sum of 263, 187, 193, 131, and 117? 3. A farmer owns three farms; the first contains 4711 acres, the second 71418, 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 of a ton, and

of a cut?

Ans. 12cwt. 1qr. 8lb. 128oz. 6. How far is of a mile and of a furlong?

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

travel in all ?

9. How many raisins are there in cwt. 85lb. and 39oz? Ans. 2qr. 17lb. 1oz. 311dr. 10. Find the value of of a year, of a day, of of

an hour, and of of a minute.

2}} 23

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. 1}na.

12. Add together 3, 3, 13 and 18.
13. Add together, 1 and 16.
14. Add together 382, 133 and 93.
15. Add together 62, 133, 17 and 1327.

Ans. 418.

Ans. 169,5

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

hour.

17. Add together 14cwt. 1737b. and 74oz.

Ans. 1cwt. 1gr. 6lb. 2oz.

3. A man engaged to work 41 days, but was absent by indisposition 6 days: how many days did he work? Ans. 347 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 100%.

7. From 9 take 14.

Ans. 1mi. 6fur. 16rd

Ans. 73.

8. From of a degree take

of a mile.

9. Take a square foot from

1 of an acre.
Ans. 1R. 18P. 5yd. 4ft.

6

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

15. From 1 of a £ take of a shilling.

16. From 1oz. take Zpwt.

1989

Ans. 4

Ans. £1 9s 3d.

17. From 8 cwt. take 49 lb.

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

18. From 36. Troy weight, take oz.

19. What is the difference between 13 rods and of an

inch?

Ans. 21ft. 11 in