Arithmetic: Designed for Academies and SchoolsA.S. Barnes, 1841 - 340 pages |
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Page 134
... denominator of 12 by 3 , by 4 , by 5 , by 6 , by 9 , by 12 , by 15 , by 20 ... denominator of a fraction be divided by any number , the value of the fraction ... COMMON DIVISOR . EXAMPLES . The greatest 1. Take the two numbers 142 134 OF ...
... denominator of 12 by 3 , by 4 , by 5 , by 6 , by 9 , by 12 , by 15 , by 20 ... denominator of a fraction be divided by any number , the value of the fraction ... COMMON DIVISOR . EXAMPLES . The greatest 1. Take the two numbers 142 134 OF ...
Page 141
... common divisor of the numerator and denominator and divide them by it . The value of the fraction will not be ... denominator without a remainder . 2nd METHOD , BY THE COMMON DIVISOR . 70 ) 175 ( 2 140 Greatest common div . 35 ) 70 ( 2 ...
... common divisor of the numerator and denominator and divide them by it . The value of the fraction will not be ... denominator without a remainder . 2nd METHOD , BY THE COMMON DIVISOR . 70 ) 175 ( 2 140 Greatest common div . 35 ) 70 ( 2 ...
Page 144
... denominators together for a common denomi- nator : the common denominator placed under each of the new numerators will form the several fractions sought . EXAMPLES . 1. Reduce , and to a common denominator . 1 × 3 × 5 = 15 the new ...
... denominators together for a common denomi- nator : the common denominator placed under each of the new numerators will form the several fractions sought . EXAMPLES . 1. Reduce , and to a common denominator . 1 × 3 × 5 = 15 the new ...
Page 145
... common denominator . 5. Reduce , 6. Reduce 4 , 14 ' 14 ' 77 Ans . 1 ,, and . 135 , and 37 , to a common denominator . 5 , 31 62 25 2 31 Ans . 525 , 1080 , and 22200 600 600 to a common denominator . 600 Ans . 200 , 62 , and 1550 . 50 ...
... common denominator . 5. Reduce , 6. Reduce 4 , 14 ' 14 ' 77 Ans . 1 ,, and . 135 , and 37 , to a common denominator . 5 , 31 62 25 2 31 Ans . 525 , 1080 , and 22200 600 600 to a common denominator . 600 Ans . 200 , 62 , and 1550 . 50 ...
Page 146
... common denominator . EXAMPLES . 1. Reduce , and to their least common denomi- nator . OPERATION . 2 ) 7--8--6 7 4 3 and 3x4x7x2 = 168 the least common denominator . 168 x3 = 24x3 = 72 1st numerator 7 168 · × 5 = 21 × 5 = 105 2nd ...
... common denominator . EXAMPLES . 1. Reduce , and to their least common denomi- nator . OPERATION . 2 ) 7--8--6 7 4 3 and 3x4x7x2 = 168 the least common denominator . 168 x3 = 24x3 = 72 1st numerator 7 168 · × 5 = 21 × 5 = 105 2nd ...
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Common terms and phrases
4th term acres annex apples barrels Bought bushels bushels of wheat called cent per annum ciphers cloth cost common denominator composite number compound fraction contains cube root cubic Currency decimal fraction decimal places denominate number diameter different denominations dimes dividend division dollars drams Dry measure equal EXAMPLES expressed farthings Federal Money figures following RULE foot four gallon given number gives greater greatest common divisor Hence higher denomination hogshead hundred hundredths improper fractions inches interest least common multiple lower denomination lowest terms measure merchant miles millionths mills mixed number months multiplicand multiply number of terms numerator and denominator OPERATION ounces payment pence pints proper fraction quarts quotient Reduce remainder Repeat the Table shillings simple numbers square root subtract sugar tens tenths thousandths Troy weight tuns units VULGAR FRACTIONS weight whole number wine yards cost yards of cloth
Popular passages
Page 174 - Hence, for the division of decimals we have the following RULE. Divide as in simple numbers, and point off in the quotient, from the right hand, so many places for decimals as the decimal places in the dividend exceed those in the divisor; and if there are not so many, supply the deficiency ly prefixing ciphers.
Page 106 - 69. The denominations of time are years, months, weeks, days, hours, minutes, and seconds. 60 seconds sec. make 1 minute, marked m. 60 minutes - - - - 1 hour, - - - - hr. 24 hours 1 day, - - - - da. 7 days 1 week,
Page 175 - 13O. NOTE 1. When any decimal number is to be divided by 10, 100, 1000, &c. the division is made by removing the decimal point as many places to the left as there are O's in the divisor ; and if there be not so many figures on the left of the decimal point, the deficiency must be supplied by prefixing ciphers.
Page 255 - CASE I. § 185. To extract the cube root of a whole number. RULE. I. Point off the given number into periods of three figures each, by placing a dot over the place of units, a second over the place of thousands, and so on to the left : the left hand period will often contain less than
Page 107 - year. Thirty days hath September, April, June, and November; All the rest have thirty-one, Excepting February, twenty-eight alone. Q. What are the denominations of Time? How long
Page 106 - MEASURE. § 68. Dry measure is used in measuring all dry articles, such as grain, fruits, roots, salt, coal, &c. Its denominations are chaldrons, bushels, pecks, quarts, and pints. TABLE. 2 pints pt. make 1 quart, marked qt. 8 quarts - 1 peck, - pk. 4 pecks - 1 bushel, - bu. 36 bushels - 1 chaldron, - ch. ch. bu. pk. qt. pt. 1=36
Page 89 - 4 farthings marked far. make 1 penny marked d. 12 pence 1 shilling - s. 20 shillings - - - 1 pound - £. 21 shillings - - - 1 guinea £ sd far. 1 = 20 = 240 = 960 1 = 12 = 48 1 = 4 NOTE.—Farthings are generally expressed in fractions of a penny. Thus, for 1 farthing we write
Page 249 - III. Double the root already found and place it on the left for a divisor. Seek how many times the divisor is contained in the dividend, exclusive of the right hand figure, and place the figure in the root and also at the right of the divisor.
Page 249 - V. Double the whole root already found, for a new divisor, and continue the operation as before, until all the periods are brought down. Q. What is required when we wish to extract the square root of a number ? What is the greatest square of a single figure
Page 136 - dividing the greater by the less, then dividing the divisor by the remainder, and continuing to divide the last divisor by the last remainder until nothing remains. The last divisor will be the greatest common divisor sought. Q. Will the common divisor of two numbers divide their