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" If there is a remainder, this remainder must be written as ,the numerator of a fraction of which the divisor is the denominator, and this fraction with its proper sign must be annexed to the integral part of the quotient. "
The First Steps in Algebra - Page 91
by George Albert Wentworth - 1894 - 184 pages
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The Philosophy of Arithmetic: Exhibiting a Progressive View of the Theory ...

Sir John Leslie - Arithmetic - 1820 - 274 pages
...quotient may be considered as forming a distinct number ; while the remainder of the division constitutes the numerator of a fraction, of which the divisor is the denominator, the Conversion or development of it along the range of inferior bars being effected in the way formerly...
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Arithmetic: Being a Sequel to First Lessons in Arithmetic

Warren Colburn - Arithmetic - 1824 - 292 pages
...number into parts; divide it by the number of parts required, and if there be a remainder, make it the numerator of a fraction, of which the divisor is the denominator.^/ NB This rule is substantially the same as the rule it Art. X. When one part is found, any number of...
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A treatise on mercantile and practical arithmetic

John Penrose (teacher of arithmetic.) - Arithmetic - 1824 - 320 pages
...something left, which is called the remainder. This number which is sometimes over, is usually considered the numerator of a fraction of which the divisor is the denominator, having a straight line drawn between them. The remainder is always to be thus disposed when a whole...
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A Popular Dictionary of Facts and Knowledge

Sir Richard Phillips - 1829 - 238 pages
...seized by Henry VIII., the monks, nuns, and officers, being allowed pensions. REMAINDER, in division, the numerator of a fraction of which the divisor is the denominator ; as when we divide by 4, and 3 remains, it signifies that the divisor goes in the dividend f times...
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Arithmetic Upon the Inductive Method of Instruction ...: Stereotyped at the ...

Warren Colburn - 1829 - 258 pages
...number into parts ; divide it by the. number nf parts required, and if there be a remainder, make it the numerator of a fraction, of which the divisor is the denominator. NB This rule is substantially the same as the rule in Art. X. When one part is found, any number of...
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Evolution: or The power, and operation of numbers, in the statement, the ...

Thomas Smith (of Liverpool.) - Arithmetic - 1835 - 180 pages
...the operations of division, and as the remainder left on our hands after such an operation becomes the numerator of a fraction of which the divisor is the denominator ; and as, in cases in which the divisor is a large number, the remainder may be large also, so we sometimes...
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A New System of Arithmetic: In which is Explained and Applied to Practical ...

Calvin Tracy - Arithmetic - 1840 - 326 pages
...whole number and fraction. In all cases of division, therefore, the remainder (if any) constitutes the numerator of a fraction of which the divisor is the denominator. Ex. 1. Reduce1^1 to a mixed number. OPERATION. 1 7)1 41(8 . -•..-.. 1 3 6 5 rem. ; therefore, 8-^-...
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A Treatise on Elementary Algebra

James Hamblin Smith - 1869 - 412 pages
...term of the quotient, at which we intend to stop, the remainder at that point of the division placed as the numerator of a fraction of which the divisor is the denominator. EXAMPLES. — LII. Carry on each of the following divisions to 5 terms in the quotient : 1. 2byl +...
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Elementary Algebra

James Hamblin Smith - Algebra - 1870 - 452 pages
...term of the quotient, at which we intend to stop, the remainder at that point of the division placed as the numerator of a fraction of which the divisor is the denominator. EXAMPLES.— LXIIL Carry on each of the following divisions to 5 terms in the quotient. ~ 1. 2byl +...
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Elementary Algebra

James Hamblin Smith - Algebra - 1877 - 418 pages
...the quotient, at which we intend to stop, the remainder at that point of the division, placed аз the numerator of a fraction of which the divisor is the denominator. EXAMPLES.— Ixiii. Carry on each of the following divisions to 5 terms in the quotient. 1. 2byl +...
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