## Daboll's Schoolmaster's Assistant: Improved and Enlarged : Being a Plain and Practical System of Arithmetick Adapted to the United States |

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Page 143

A single, simple, or proper fraction, is when the numerator is less than the

eeds the

fraction, ...

A single, simple, or proper fraction, is when the numerator is less than the

**denominator**, as , , 3, 4, &c. 2. An Improper Fraction, is when the numerator ex *eeds the

**denominator**, as , , ,”, &c. 3. A Compound Fraction, is the fraction of afraction, ...

Page 145

Multiply the whole number by the

product add the numerator, this sum written dove the

fraction required ---------- 1. Reduce 45 to its equivalent improper fraction 45×8+7

="#" ...

Multiply the whole number by the

**denominator**of the gion fraction, and to theproduct add the numerator, this sum written dove the

**denominator**will form thefraction required ---------- 1. Reduce 45 to its equivalent improper fraction 45×8+7

="#" ...

Page 146

To reduce a whole number to an equivalent fraction, hav ing a given

. Rule.—Multiply the whole number by the given

over the said

To reduce a whole number to an equivalent fraction, hav ing a given

**denominator**. Rule.—Multiply the whole number by the given

**denominator**place the productover the said

**denominator**, and it will form the fraction required. Ex---L-->. 1. Page 147

Ans. }}=}} CASE WI. to reduce fractions of different denominations to equiva lent

fractions having a common

simple terms. 2. Multiply each numerator into all the

for a ...

Ans. }}=}} CASE WI. to reduce fractions of different denominations to equiva lent

fractions having a common

**denominator**. RULE. I. 1. Reduce all fractions tosimple terms. 2. Multiply each numerator into all the

**denominators**except its own,for a ...

Page 148

Reduce 4, or, and so, to a common

1000 5. Reduce : o, and 1:24, to a common

Reduce : , , and 3 of H, to a common

foregoing is a ...

Reduce 4, or, and so, to a common

**denominator**800 300 40 - and 1000 10001000 5. Reduce : o, and 1:24, to a common

**denominator**. Ans.##, ##, o. 6.Reduce : , , and 3 of H, to a common

**denominator**Ans. *, *, *:::, 14:4. Theforegoing is a ...

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acres added allowing amount annuity annum answer Billings Bought breadth Bring bushels called cents ciphers cloth common compound interest contain continue cēs cost cube currency decimal demand denominator difference Divide dividend divisor dollars dols Entered equal ExAMPLEs farthings federal money feet figures fraction gain gallon give given given sum gross half hundred inches interest length less measure method miles millions mills mixed months Multiply nine paid payment pence percent period piece pound present worth principal proportion quantity question quotient ratio received Reduce remainder right hand rods root RULE sell share shillings simple sold solid square subtract sugar Suppose TABLE tare term third Thomas thousand units weight whole whole numbers wine yards