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The following Examples are done by the fame Rule.

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432

Add 140 to 47%, and 72 is 3240 14960 7650 20400

the Answer.

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Article 13. To add mixed Numbers and fimple Fractions together.

Rule. Reduce the mixed Number to an improper Fraction, by Art. 2; reduce this improper Fraction and the given fimple Fraction to the fame Denominator, by Art. 4; then add the new Numerators together, and place their Sum over the common Denominator, as in the two preceding Articles.

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Add 6 to 8 and 697 is the Answer.

Exam. 2.

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Exam. 1. The mixed Number 7 is reduced, by Art 2, to the improper Fraction 73; reduce this and the given Fraction to Fractions of a common Denominator, by Art. 4, and we have 657 and 40; then adding the two Numerators 657 and 40, it makes 697, to be placed over 90 the common Denominator: Thus is 697 the Sum of the given Fraction and mixed Number.

The second Example is done in the fame Manner.

Article 14. To add mixed Numbers and compound Fractions together.

Rule. Reduce the mixed Number to an improper Fraction, by Art. 2; then reduce the compound Fraction to a fimple Fraction, by Art. 3; reduce these two Fractions to the fame Denominator, by Atr. 4; then add their Numerators together for a new Numerator, placing it over the common Denominator, and this Fraction will be the Sum of the given Fractions.

2

Exam. 1. Add 2 and of 7 together.

3

12

19

21

48

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Hence the two fimple Frac- Add 1 to 14%, and is

912

1959 336

tions are and .

D. 2

the Anfwer,

Exam. 2.

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Exam. 1. The mixed Number 2 is reduced, by Art. 2, to the improper Fraction; and the compound Fraction is reduced, by Art. 3, to the fimple Fraction ; then reducing these two Fractions to Fractions of the fame Denominator, by Art. 4, gives 3 and 4, whofe Numerators added together make 1059, which being placed over the common Denominator 336 is, for the Sum of the given mixed Number and compound Fraction.

47

The second Example and the two following are done in the fame Way.

Exam. 4.

Add 3 and of together.

I

Exam. 3.

Add 2 and of of

together.

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15

3

8

IO 4

54

8

16

3

5

19 12 40

3

1624

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Article 15. To add fimple Fractions and Integers together. This is only to annex the Fraction to the Integer, which makes it a mixed Number.

Exam. 1.

7

Add and together.

Answer 75.

Exam. 2.

Add 512 and together.
Answer 512.

This wants no farther Explanation.

Article 16. To add compound Fractions and Integers together.

Rule. Reduce the compound Fraction to a fimple Fraction, by Art. 3; then annex this fimple Fraction to the Integer, as in the last Article.

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12009

1200

Exam. 2.

of to

gether.

36

4

7

18

28

Anfwer 2008.

18

Exam, 1. The compound Fraction of of is reduced by Art. 3; then joining to this Fraction the given Integer 16, we have 16%, a mixed Number, for the Sum fought.

The other Example is done in the fame Manner.

Article 17. To add mixed Numbers and Integers together. Rule. This is no more than to add the Integer to the integral Part of the Fraction, and then to annex the Fraction to this Sum, as at Art. 15.

Exam. 1.

Add 30 and 45 together.
Answer 75

Exam. 2.

Add 19 and 11 together.
Answer 30 f.
Subtraction

Subtraction of Vulgar Fractions.

Article 18. To fubtract fimple Fractions.

Rule. If the given Fractions have the fame Denominators fubtract the leffer Numerator from the greater, and place the Remainder over the common Denominator; this new Fraction is the Difference fought. But, if the Fractions have different Denominators, reduce them to the fame Denominator, by fome of the foregoing Rules for reducing of Fractions; then fubtract the leffer Numerator from the greater, placing the Remainder over the common Denominator; this will be the Difference fought.

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12

from

3

15

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Answer. 2 from 18 leaves 18 Answer.

Exam. 1. The given Fractions are reduced, by Art. 4, to and; fubtracting 12 from 15 there remains 3; which being placed over the Denominator 18 gives

Difference, for fo much is more than 3.

The other Example is done in the fame Manner.

for the

Article 19. To fubtract fimple Fractions from compound Fractions, or compound from fimple.

Rule. Reduce the compound Fraction to a fimple Fraction, by Art. 3; then reduce this and the given fimple Fraction to the fame Denominator, and proceed as in the last Article.

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