The Teacher's Assistant: Or, A System of Practical Arithmetic: Wherein the Several Rules of that Useful Science are Illustrated by a Variety of Examples, a Large Proportion of which are in Federal Money : the Whole Designed to Abridge the Labour of Teachers, and to Facilitate the Instruction of Youth |
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Page 129
... number above the line is called the numerator , and that below the line the denominator . The denominator denotes ... mixed . A proper fraction is that of which the numerator is less than the denominator ; as ,,, & c . An improper ...
... number above the line is called the numerator , and that below the line the denominator . The denominator denotes ... mixed . A proper fraction is that of which the numerator is less than the denominator ; as ,,, & c . An improper ...
Page 130
... mixed number consists of a whole number and a fraction ; as 44 , 73 , & c . REDUCTION OF VULGAR FRACTIONS . CASE 1 . To reduce a fraction to its lowest terms . RULE . Divide the greater term by the less , and that divisor by the ...
... mixed number consists of a whole number and a fraction ; as 44 , 73 , & c . REDUCTION OF VULGAR FRACTIONS . CASE 1 . To reduce a fraction to its lowest terms . RULE . Divide the greater term by the less , and that divisor by the ...
Page 131
... mixed number to an improper fraction . RULE . Multiply the whole number by the denominator of the fraction , and add the numerator to the product for a new numerator , under which place the given denomi- nator . 1 EXAMPLES . 1. Reduce ...
... mixed number to an improper fraction . RULE . Multiply the whole number by the denominator of the fraction , and add the numerator to the product for a new numerator , under which place the given denomi- nator . 1 EXAMPLES . 1. Reduce ...
Page 132
... mixed number . RULE . Divide the upper term by the lower . Note . This case and case 3 prove each other . EXAMPLES . 1. Reduce to its proper terms . 17 17 ) 219 ( 12+ 17 Result 1214 . - 49 34 15 17 2. Reduce 19 to its proper terms ...
... mixed number . RULE . Divide the upper term by the lower . Note . This case and case 3 prove each other . EXAMPLES . 1. Reduce to its proper terms . 17 17 ) 219 ( 12+ 17 Result 1214 . - 49 34 15 17 2. Reduce 19 to its proper terms ...
Page 137
... mixed numbers are given , add the fractions as under note 1 or 2 ; then , if their sum be an improper fraction , reduce it to a mixed number , and add its integers to the given integers ; but if it be not an improper fraction , annex ...
... mixed numbers are given , add the fractions as under note 1 or 2 ; then , if their sum be an improper fraction , reduce it to a mixed number , and add its integers to the given integers ; but if it be not an improper fraction , annex ...
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Common terms and phrases
25 yards 2qrs 3qrs acres aliquot amount annuity annum answer Bought Bring bushels casks cent to cents cents per lb ciphers common difference compound interest contained cube root decimal divide dividend divisor dollars per cent dols drams DRY MEASURE English ells EXAMPLES Facit farthings Federal Money fourths furlongs gain gallons given number given sum grains hogsheads hundred weight improper fraction inches merchant miles millions mixed number months Multiply nails neat weight Note number of terms Oqrs ounces paid pecks pence Pennsylvania currency penny pennyweights pieces pint pounds present worth quarters quarts quotient rate per cent Reduce remainder Result roods Rule of Three shillings sold square root sterling Subtract sum or quantity TABLE tare thousand TROY WEIGHT tuns VULGAR FRACTIONS whole number yards cost yards of cloth yards of linen yards of muslin
Popular passages
Page 6 - An Act supplementary to an Act, entitled " An Act for the Encouragement of Learning, by securing the copies of Maps, Charts, and Books, to the authors and proprietors of such copies during the time* therein mentioned," and extending the benefits thereof to the arts of designing, engraving, and etching historical and other prints.
Page 70 - 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 108 - Discdunt is an allowance made for the payment of a sum of money before it becomes due, according to a certain rate per cent, agreed on between the parties concerned. The present worth of any...
Page 170 - Multiply the last term by the ratio, from the product subtract the first term, and divide the remainder by ratio less one for the sum of the series.
Page 136 - MULTIPLICATION OF VULGAR FRACTIONS GENERAL RULE. Reduce compound fractions to single ones, and mixed numbers to improper fractions; then multiply the numerators together for a new numerator, and the denominators for a new denominator.
Page 95 - RULE.* Multiply the principal by the 'rate per cent, and divide the product by 100: the quotient will be the interest for 1 year.
Page 158 - Bring down the first figure of the next period to the remainder for a new dividend, to which find a new divisor, and so on, till the whole be finished.
Page 153 - Subtract the square number from the left hand period, and to the remainder bring down the next period for a dividend.
Page 127 - Operations with Fractions A) To change a mixed number to an improper fraction, simply multiply the whole number by the denominator of the fraction and add the numerator.
Page 128 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.