Easy Introduction to Mathematics, Volume 1Barlett & Newman, 1814 |
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Page 147
... fraction expresses fewer parts than 1 is supposed to be divided into ; consequently the value of the fraction is ... improper fraction ; thus , ( four fourths ) , ( five fifths ) , 7 ( seven thirds ) , ( twenty - one ninths ) , & c . are ...
... fraction expresses fewer parts than 1 is supposed to be divided into ; consequently the value of the fraction is ... improper fraction ; thus , ( four fourths ) , ( five fifths ) , 7 ( seven thirds ) , ( twenty - one ninths ) , & c . are ...
Page 157
... improper fraction . RULE I. Multiply the whole number by the denominator of the fraction , and to the product add the numerator . II . Place this number over the denominator of the fraction , and it will be the answer required a . 37 ...
... improper fraction . RULE I. Multiply the whole number by the denominator of the fraction , and to the product add the numerator . II . Place this number over the denominator of the fraction , and it will be the answer required a . 37 ...
Page 159
... improper one , reduce it to a whole or mixed number , by Art . 173 ' . 2 5 51. Reduce of to a simple fraction . 2 3 7 5 13 Thus of = the answer . Here we multiply 2 and 5 3 7 20 together for the numerator , and 3 and 7 together for the ...
... improper one , reduce it to a whole or mixed number , by Art . 173 ' . 2 5 51. Reduce of to a simple fraction . 2 3 7 5 13 Thus of = the answer . Here we multiply 2 and 5 3 7 20 together for the numerator , and 3 and 7 together for the ...
Page 160
... improper fraction to a mixed number , Art . 173 . 1 5 54. Reduce of of 3 7 55. Reduce of of 20 to a simple fraction . Ans . 189 1 to a simple fraction . Ans . 7 9 15 3 8 5 56. Reduce of of 7 to a simpler form . An- 5 swer = 14 . 4 176 ...
... improper fraction to a mixed number , Art . 173 . 1 5 54. Reduce of of 3 7 55. Reduce of of 20 to a simple fraction . Ans . 189 1 to a simple fraction . Ans . 7 9 15 3 8 5 56. Reduce of of 7 to a simpler form . An- 5 swer = 14 . 4 176 ...
Page 161
... fraction to its equivalent simple one . First , when one term only of the given fraction is a mixed number . RULE I. Reduce the mixed term to an improper fraction , and make the numerator of this improper fraction that term of a new ...
... fraction to its equivalent simple one . First , when one term only of the given fraction is a mixed number . RULE I. Reduce the mixed term to an improper fraction , and make the numerator of this improper fraction that term of a new ...
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An Easy Introduction to the Mathematics: In Which the Theory and Practice ... Charles Butler No preview available - 2016 |
Common terms and phrases
added Algebra aliquot answer Arithmetic Avoirdupois bushels called carry ciphers coefficient common denominator composite number compound cost cube root decimal denotes Diff difference divide dividend division divisor drams equal equation Euclid's Elements EXAMPLES Explanation farthings former fourth gallons Geometry given number greater greatest common measure guineas hundred improper fraction inches lastly latter learning least common multiple least term likewise logarithm lowest terms mainder manner Mathematics method of proof mixed number moidores multiplicand Multiply number of terms OPERATION ounces pence pounds Prod Quot quotient Reduce remainder repetend right hand figure rule second term shewn shews shillings square root subtract surd tens third thousand tion top line TROY WEIGHT units unknown quantity vulgar fraction whence wherefore whole number yards
Popular passages
Page xxii - Just so it is in the mind; would you have a man reason well, you must use him to it betimes, exercise his mind in observing the connection of ideas and following them in train. Nothing does this better than mathematics, which therefore I think should be taught all those who have the time and opportunity, not so much to make them mathematicians as to make them reasonable creatures...
Page 48 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...
Page 98 - 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 42 - AVOIRDUPOIS WEIGHT. 16 drams, dr. make 1 ounce, - - - - oz. 16 ounces - - - 1 pound, - - - - Ib. 28 pounds - - - 1 quarter, - - - qr. 4 quarters - - - 1 hundred weight, - cwt. 20 hundred weight, 1 ton, T.
Page 448 - What number is that, which, being divided by the product of its digits, the quotient is 3 ; and if 18 be added to it, the digits will be inverted ? Ans.
Page 54 - M. 60 minutes, 1 hour, h. 24 hours, 1 day, d. 7 days, . 1 week, w. 4 weeks, 1 month, mo. 13 months, 1 day and 6 hours, 1 Julian year, yr. Thirty days hath September, April, June and November ; February twenty-eight alone, all the rest have thirtyone.
Page 106 - State and reduce the terms as in the Rule of Three Direct. 2. Multiply the first and second terms together, and divide the product by the third ; the quotient will be the answer in the same denomination as the middle term was reduced into.
Page 234 - ... 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...
Page 432 - A hare is 50 leaps before a greyhound, and takes 4 leaps to- the greyhound's 3, but 2 of the greyhound's leaps are as much as 3 of the hare's ; how many leaps must the greyhound take to catch the hare ? Ans. 300.
Page 138 - To reduce a whole number to an equivalent fraction, having a given denominator. RULE. Multiply the whole number by the given denominator, and place the product over the said denominator, and it will form the fraction required.