Reduce the given fractions (if necessary) to simple frac tions, and to a common denominator (omitting integers :) Place the sum of the numerators over the common denomi nator; then to the value of said fractions add the integers (if any.)

If fractions be of different integers, find their values separately, and add as in compound addition.

EXAMPLES.

1 Add and together.

1 + 7 = 1/8 +14=1= 1 facit.

I I

2 Add, and together.

facit 2780 26

5 Add of 95, and 3 of 14 together.

6 Add, and 17 together.

7 Add 124, 33, and 44 together.

8 Add 6 of, of, and 7 together. 9 Add 3, 4, of, and 9

To Add of a penny to of a pound.

11 Add of a pound to

12-Add of a lb. troy to

together.

10%

zs 3d 1qr.

of a shilling.

18s 3d.

of an oz.

La

facit 6oz. 11dwt. 16gr.) 13.Add

**19 What is the sum of a penny?

facit 8hr. 30min.

of an hour to

facit 2da. 144hr.

2

of

of a mile togefacit 1540yd. 2ft. 9in. of a shilling, and answer 38 Id..114gr. 334. 3 of 4 of } of a £. answer 71 17s 5d. 04qr. of %% of a £. + } of facit 91 85 8d. of gr.

a shilling?

facit ada. 22hr. what remains? answer 41 3s 8d. 14gr. of a L. and of of answer tos 7d. 1gr.

19 Take of a shilling from 4 of 5. and what is left? answer il 8s 11d. 20 If a merchant owns of a ship, valued at gool. and sell of his share; what part has he left, and what is it worth? answer worth 1877 10s.

5

13. What is the product of of, and § of 34.

14. What is the product of 5×3, X3, of }, × 4%,

1233

21

2/

5205

293

69%

ansaver

answer 23r

15 What is the continued product of 3, 34, 5,and of 3.

answer 43

16 If 33 be multiplied by, and this product again by of, what is the last product?

33

answer 14

DIVISION OF VULGAR FRACTIONS.

RULE.

Prepare the fractions, if necessary, as in multiplication:: multiply the denominator of the divisor into the numera tor of the dividend for a numerator; and the numeratorof the divisor into the denominator of the dividend for a denominator.

3 Divide by
4 Divide 1 by 410
5 Divide by 4.
6 Divide 4 by 7.

7 Divide of 19 by 3 of 4.
8 Divide of by 3 of 4.
9. Divide of by of
10 Divide 45 by 1⁄2 of 4.

facit I

117

11 Divide & of 4 by 44.

12 Divide of 6 by off of

13 What is the quotient of 7 divided by 9?

14 What is the quotient of of

divided by § of 7 } ?

answer 774

15 What is the quotient of 52053 divided by 4 of 91?

answer 71

THE SINGLE RULE OF THREE IN VULGAR FRACTIONS.

DIRECT PROPORTION.

RULE.

- Prepare the given terms, if necessary, by reduction, and state them as in whole numbers; multiply the second and third terms together, and divide that product by the first ; Or,

Invert the dividing term, and multiply the three together for the fractional answer.

Note. When the dividing term is inverted, the note to case 5 in reduction is applicable here,

1 If

EXAMPLES.

of a yard cost of a . what cost yards?
As 77 :: 1495=5=35 4d. answer.
8 1 3 1

Or, Cancelled;

-=-£.=35 4d.

3X2