# Welch's Improved American Arithmetic: Adapted to the Currency of the United States : to which is Added a Concise Treatise on the Mensuration of Planes and Solids

Sanborn & Carter, 1846 - Arithmetic - 218 pages

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### Contents

 THIRTYSix 14 9 5 Arithmetical Progression 19 Commission 39
 FIFTYTHREE SEVENTYSEVEN ONE HUNDRED 73 Single Fellowship 153 Water Levelling 199

### Popular passages

Page 81 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Page 64 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
Page 214 - Thirty days after sight of this first of exchange (second and third of the same tenor and date unpaid...
Page 84 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Page 109 - RULE.—Multiply each payment by the time at which it is due; then divide the sum of the products by the sum of the payments, and the quotient will be the equated time.* • , EXAMPLES.
Page 92 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Page 193 - RULE. — To the square of the bung diameter add the square of the head diameter ; multiply the sum by the length, and the product by .0014 for ale gallons, or by .0017 for wine gallons.
Page 149 - PROBLEM II. The first term, the last term, and the number of terms given, to find the common difference. RULE. — Divide the difference of the extremes by the number of terms less 1 , and the quotient will be the common diffcrenct.
Page 204 - There is an island 50 miles in circumference, and three men start together to travel the same way about it ; A goes 7 miles per day, B 8, and C 9 ; when will they all come together again, and how far will they travel ? Ans.
Page 163 - As 7 is to 22, so is the diameter to the circumference : or, as 22 is to 7, so is the circumference to the diameter.