V. When the fractions are of different denominations.

RULE. Reduce them to their proper quantities, and fubtract a

RULE. Reduce compound fractions to fimple ones, and mixt numbers to improper fractions; then multiply the numerators together for a new numerator, and the denominators for a new denom

DIVISION OF VULGAR FRACTIONS.

RULE. Prepare the fractions, if neceffary; then invert the divifor, and proceed as in multiplication.

2. What will remain if 18§s. and 7§d. be taken from £.1?

Anf. 55. 6d.

4. Of what number is 176 the

Anf.& is greater by iz

part?

Anf. 368

Anf. 33

5. By how much muft you multiply 133 that the product may

be 49

6. Find two numbers fo that of the one will be as much as of the other. Anf. 126 and 208, or 63 and 104, &c.

7. What is greater, of 6s. or 15. 2{d.?

Anf. 15. 24d. is greater by d.

8. A has of of a ship, and B of which is the greater share, and by how much? Anf. A's fhare is greater by .

9. A farmer being afked, how many fheep he had, anfwered, that he had them in 5 fields; in the first he had of his flock, in the fecond, in the third, in the fourth, and in the fifth 450; how many had he?

Anf. 1200.

RULE OF THREE DIRECT IN VULGAR FRACTIONS.

RULE. Having stated the queftion, make the neceffary preparations, as in Reduction of Fractions, and invert the first term; then proceed as in multiplication of fractions.

EXAMPLES.

I. If of a yard of cloth cost of a shilling, what will 7 of a yard come to?

2. If of a fhip cost £.273 2s. 6d. what is of her worth?

Anf. £.227 12s. Id.

3. If of a yard cost of a pound, what will glith come to, at the fame rate?

4. A perfon, having of a coal mine, fells £171; what is the whole mine valued at ?

of an ell En

Anf. £.2

of his share for Anf. £.380.

SINGLE RULE OF THREE INVERSE,

IN VULGAR FRACTIONS.

EXAMPLES.

1. If 255. will pay for the carriage of an cwt. 1454 miles, how far may 6 cwt. be carried for the fame money ?

Anf. 22

2. If 34 yds. of cloth that is 1 yard wide, be fufficient to make a cloak, how much muft I have of that fort, to make another of the fame bignefs?

which is ✩ yard wide, Ani. 47 yds.

3. If 3 men can do a piece of work in 4 hours, in how many hours will ten men do the fame work?

Anf. 12%

4. If the penny white-loaf weigh 7 oz. when a bufhel of wheat colt 5s. 6d. what is the bufhel worth when the penny white-loaf weighs but 2 oz.? Anf. 155. 4.

PRACTICE

Is a contraction of the Rule of Three direct, when the first term. happens to be an unit, or one, and has its name from its frequent ufe in business.

When the price is an aliquot, or even part of a fhilling.

RULE. Divide the given number by the part, and the quotient: the answer in fhillings; what remains is to be reduced as in Comound Divifion.

EXAMPLES.

1. What will 4596 yards coft at 6d. per yard?

When the price is pence, or pence and farthings, and no even part

of a fhilling.

RULES Find the even parts for the price, and proceed as in Case I. and the sum of the quotients is the answer.

1.

EXAMPLES.

What will 4937 yards come to, at 9d. per yard

When the price is fhillings, or fhillings and pence, and an even part of a pound.

RULE. Divide the given quantity by the even part, and the quotient is the answer in pounds. If there be a remainder, reduce it as in Compound Division.