The North American Arithmetic: Part Third, for Advanced Scholars, Volume 3 |
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Page 38
... mixed number , the numerator of the fraction in the mixed number must be added to the product of the whole number , and their sum will be the numerator of the improper fraction . 4. Reduce 16 to a fraction whose denominator is 9 39 X ...
... mixed number , the numerator of the fraction in the mixed number must be added to the product of the whole number , and their sum will be the numerator of the improper fraction . 4. Reduce 16 to a fraction whose denominator is 9 39 X ...
Page 39
... mixed number . RULE . Divide the numerator by the denominator , and the quotient will be the whole , or mixed number . 13. Reduce 362 to a whole , or mixed number . 8 8 ) 362 452-451 8 Since are equal to 1 unit , there are as many units ...
... mixed number . RULE . Divide the numerator by the denominator , and the quotient will be the whole , or mixed number . 13. Reduce 362 to a whole , or mixed number . 8 8 ) 362 452-451 8 Since are equal to 1 unit , there are as many units ...
Page 43
... mixed numbers , reduce them to improper frac- tions : multiply the denominator of the lower fraction into the numerator of the upper , for a new numerator ; and multiply the denominator of the upper fraction into the numerator of the ...
... mixed numbers , reduce them to improper frac- tions : multiply the denominator of the lower fraction into the numerator of the upper , for a new numerator ; and multiply the denominator of the upper fraction into the numerator of the ...
Page 44
... mixed number , and the frac- tion in the subtrahend is greater than that in the minu- end , subtract the numerator of the subtrahend from the denominator , and to the difference add the numerator of the minuend ; and consider the ...
... mixed number , and the frac- tion in the subtrahend is greater than that in the minu- end , subtract the numerator of the subtrahend from the denominator , and to the difference add the numerator of the minuend ; and consider the ...
Page 45
... mixed numbers , it is generally more convenient to reduce them to improper fractions and then proceed according to the rule under Case III . The effect of multiplying any quantity by a proper fraction is , to give in the product , such ...
... mixed numbers , it is generally more convenient to reduce them to improper fractions and then proceed according to the rule under Case III . The effect of multiplying any quantity by a proper fraction is , to give in the product , such ...
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Common terms and phrases
75 cents acres annuity annum avoirdupois bajocchi Bill breadth bushels called carats cask ciphers compound interest contain continual proportionals cost cube root denominator denoted diameter discount divided dividend divisor dollars 50 cents dry measure Ducat equal example exchange expressed Extract the square factors Federal money feet long figure Find a mean Flemish florin foot francs frustrum gallons given number Hamburgh hogshead hundred improper fraction least common multiple length London maravedis mean proportional measure merchant miles minuend mixed number months multiplied number of terms number of things ounces paid payable payment pence pezza places pound sterling pounds present worth quantity quotient ratio received Reduce remainder repetend rix dollar rods RULE rupee scudo series of continual shillings sold Spanish dollars square root sterling Subtract Suppose third power United vulgar fraction weight whole number wide wine yards of cloth
Popular passages
Page 114 - Multiply each debt by its term of credit, and divide the sum of the products by the sum of the debts. The quotient will be the average term of credit.
Page 178 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 7 - ... 11 eleven 12 twelve 13 thirteen 14 fourteen 15 fifteen 16 sixteen 17 seventeen 18 eighteen 19 nineteen 20 twenty 21 twenty-one...
Page 183 - Bring down the first figure of the next period to the remainder for a new dividend, to which find a new divisor as before, and in like manner proceed till the whole be finished.
Page 265 - ... last product by 95, the quotient whereof shall be deemed the true contents or tonnage of such ship or vessel; and if such ship or vessel be single-decked, take the length and breadth, as above directed, deduct from...
Page 184 - ... 5, 7, 9, 11, 13, 15, &c. is an ascending series. ( 15, 13, 11, 9, 7, 5, 3, &c. is a descending series. The numbers which form the series are called the terms of the series. The first and last terms are the extremes, and the other terms are called the means. There are five things in arithmetical progression, any three of which being given, the other two may be found : — 1st.
Page 7 - Cardinal numbers: 1 one 2 two 3 three 4 four 5 five 6 six 7 seven 8 eight 9 nine 10 ten 11 eleven 12 twelve 13 thirteen 14 fourteen 15 fifteen 16 sixteen 17 seventeen 18 eighteen 19 nineteen 20...
Page 171 - ... is equal to the square root of the difference of the squares of the hypotenuse and the other leg.
Page 177 - Find how many times the divisor is contained in the dividend, and place the result in the quotient.
Page 178 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained in the dividend...