# Practical Arithmetic, by Induction and Analysis

Winthrop B. Smith & Company, 1857 - Arithmetic - 320 pages
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### Contents

 EIMPLE NUMBERS 9 decimals yet it is truly a species of compound numbers and is 21 of Division 48 Cancellation 67 arul Money tion of U S Money ney 71 bers PAGE 9 71 19 72 43 76
 To reduce fractions to the least common denominator 152 Multiplication of Fractions 166 Addition and Subtraction of Fractional Compound Numbers 174 70 205 71 211 INTEREST 220 76 224 Another method for Interest 227

 61 78 75 81 S1 83 83 Avoirdupois Weight 89 CO 91 Cloth Measure 95 Promiscuous Examples in Reduction 103 To find the period of Time between any two Dates 111 Longitude and Time 117 GREATEST COMMON DIVISOR 126 COMMON FRACTIONS 134 To reduce an improper fraction to a whole or mixed number 143
 Problems in Interest 233 77 234 Profit and Loss 245 PARTNERSHIP 253 87 254 ALLIGATION MEDIAL 260 EXCHANGE OF CURRENCIES 269 INVOLUTION 275 95 288 MENSURATION 300 110 304 111 315

### Popular passages

Page 179 - Remove the decimal point as many places to the left as there are ciphers in the divisor.
Page 135 - 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 88 - Thirty days hath September, April. June, and November; All the rest have thirty.one, Save February, which alone Hath twenty.eight; and one day more We add to it one year in four.
Page 26 - It shows that the numbers between which it is placed, are to be multiplied together. Thus the expression 9x6, signifies that 9 and 6 are to be multiplied together, and is read, " 9 multiplied by 6," or, simply,
Page 156 - 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 222 - Compute the interest to the time of the first payment ; if that be one year or more from the time the interest commenced, add it to the principal, and deduct the payment from the sum total. If there be after payments made, compute the interest on the balance due to the next payment, and then deduct the payment as above; and, in like manner, from one payment to another, till all the payments are absorbed ; provided the time between one payment and another be one year or more.
Page 79 - Measure 144 square inches (sq. in.) = 1 square foot (sq. ft.) 9 square feet = 1 square yard (sq. yd.) 30j square yards = 1 square rod (sq.
Page 219 - The rule for casting interest, when partial payments have been made, is to apply the payment, in the first place, to the discharge of the interest then due. If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due.
Page 219 - If the payment be less than the interest, the surplus of interest must not be taken to augment the principal; but interest continues on the former principal until the period when the payments, taken together, exceed the interest due, and then the surplus is to be applied...
Page 125 - ... that is, the fraction takes its name or denomination from the number of parts, into which the unit is divided. Thus, if the unit be divided into 16 parts, the parts are called sixteenths, and 5 of these parts would be 5 sixteenths, expressed thus, -f%.