The Teachers' Assistant: Or, A System of Practical Arithmetic ... |
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Page 129
... , com- pound or mixed . A proper fraction is that of which the numerator is less than the denominator ; as 1 , 2 , 7 , & c . An improper fraction is that of which the numera- tor VULGAR FRACTIONS . 129 Vulgar Fractions,
... , com- pound or mixed . A proper fraction is that of which the numerator is less than the denominator ; as 1 , 2 , 7 , & c . An improper fraction is that of which the numera- tor VULGAR FRACTIONS . 129 Vulgar Fractions,
Page 130
... mixed number consists of a whole number and a fraction ; as 43 , 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 43 , 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 . EXAMPLES . 1. Reduce 12 ...
... 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 . EXAMPLES . 1. Reduce 12 ...
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 ) 219 ( 1244 17 Result 12H 49 34 15 17 2. Reduce 1 to its proper terms . 3. Reduce ...
... 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 ) 219 ( 1244 17 Result 12H 49 34 15 17 2. Reduce 1 to its proper terms . 3. Reduce ...
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 it ...
... 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 it ...
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Common terms and phrases
2qrs 3qrs acres aliquot amount annuity annum answer arithmetical arithmetical progression Bought Bring bushels bushels of wheat casks cents per lb ciphers common difference compound interest contained cube root decimal divide dividend divisor dollars per cent dols drams English ells EXAMPLES Facit farthings Federal Money feet fourth furlongs gain gallons given number given sum hogsheads hundred weight improper fraction inches merchant miles mixed number mixture months Multiply nails neat weight Note number of terms Oqrs ounces paid pecks pence Pennsylvania currency penny pennyweights pieces pint pounds present worth principal PROOF quarters quarts quotient rate per cent ratio involved Reduce remainder Result roods Rule of Three shillings sold square root sterling Subtract sugar sum or quantity TABLE tare TROY WEIGHT VULGAR FRACTIONS whole number wine yards cost yards of cloth yards of linen yards of muslin
Popular passages
Page 2 - 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 172 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.
Page 131 - 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 2 - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape.
Page 37 - And every other thirty-one, Except the second month alone, Which has but twenty-eight in fine, Till leap year gives it twenty-nine.
Page 142 - 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 132 - 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.
Page 174 - 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 190 - Feet multiplied by feet, give feet. Feet multiplied by inches, give inches. Feet multiplied by seconds, give seconds. Inches multiplied by inches, give seconds. Inches multiplied by seconds, give thirds. Seconds multiplied by seconds, give fourths.
Page 129 - The number above the line is called the numerator, and that below the line the denominator. The denominator...