3 Reduce 6 furlongs 16 poles to the fraction of a mile. Res. of a mile.

4

5

4 Reduce 9 ounces, Troy, to the fraction of a pound. Res. 3 of a pound.

5 Reduce 7 hours 12 minutes to the fraction of a day. Res. 3 of a day.

1 0

ADDITION OF VULGAR FRACTIONS. RULE.-Reduce the given fractions, if necessary, to single ones, or to a common denominator; add all the numerators together, and place the sum over the common denominator.

NOTE 1.-When the fractions are of different denominators, reduce them to a common denominator, and proceed as above. (See Note, page 139.)

Result 373.

240

NOTE 2. When mixed numbers occur, place them as in examples 2 and 3; proceed with the fractions as directed in Note 1; and if they amount to one or more integers, carry them to the integers, and proceed as in simple addition.

10 Add 5, 67, and 4 together.

Res. 1724

and together.
together.

5

NOTE 3.-When compound fractions are given, reduce them to single fractions, and proceed as before. 16 Add of 11,1 of 14, and 7 of together.

8

6

Res. 1643

1.5.40

19 Add 1, 67,

17 Add of and of together. 2 7 4 10

4

20
20

18 Add 1, of, and 9 together.

5

of, and 7 together.

120

NOTE 4. When the given fractions are of several denominations, reduce them to their proper values or quantities, and add as in the following example.

Res. 37. Res. 11

48 1 60

Res. 16,73

3

20 Add 7 of a pound, to of a shilling.

ΤΟ

Result 15s. 10d.

19

=1/5

15

21 Add of a pound, to 2 of a shilling.

8

Result 18s. 3d.

22 Add 2 of a penny, to of a pound.

2

Res. 2s. 3d. 1qr. 3

23 Add 1⁄2 lb. troy, to 72 of an ounce.

of a mile, to

12 Res. 6oz. 11dwt. 16grs.

24 Add 25 Add 26 Add 27 Add together.

of a yard, to
of a day, to

1 of a week,

4

of an hour. Res. 8h. 30min. of a day, and of an hour Res. 2 days, 14 hours, 30min.

SUBTRACTION OF VULGAR FRACTIONS.

RULE.

Prepare the given fractions as in Addition; then subtract the less from the greater, and place the difference over the common denominator.

Prepare the given fractions, if necessary; then multiply the numerators together for a new numerator, and the denominators together for a new denominator.

2 Multiply by 3.

12
6

8

1 8

6

123=3 and 72=23; then 63 X 23 —1 449—96

63

Res. 224, or 24
Res. 963.

63X23 5

Res. 61.

10 Multiply of 7 by 3.

6

4

Res.
Res. 1213.

450.

Res.
Res. 23.
Res. 13

77

11 Multiply 2 by 14, and multiply the product by

of of 2.

9

16

DIVISION OF VULGAR FRACTIONS.

RULE.

Prepare the given fractions, if necessary, then invert the divisor, and proceed as in Multiplication.