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" ... can be expressed as integers, namely, 4 cents, 4 feet, 4 pounds, and so on, with kindred ideas and operations. 3. The Primary Practical Principle in Fractions. — It is clear that this complete expression for the number process is the fundamental... "
The Psychology of Number and Its Applications to Methods of Teaching Arithmetic - Halaman 243
oleh James Alexander McLellan, John Dewey - 1895 - 309 halaman
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Army and civil service examination papers in arithmetic

Arthur Dawson Clarke - 1880 - 286 halaman
...before. .'. ^ = is, and in the same way = f£ = &c. Hence we infer that if the numerator and denominator of a fraction be multiplied or divided by the same number, the value of the fraction remains the same. 33. To reduce a fraction to its lowest terms ; ie when the...
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A School Algebra

Simon Newcomb - 1882 - 302 halaman
...changing the form of an expression without changing the value. 64:. Reduction to lowest terms. THEOREM. If both terms of a fraction be multiplied or divided by the same quantity, the value of the fraction will not be altered. Reason. By §§ 57, 58, 59 and 60 the multiplications...
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The Psychology of Number and Its Applications to Methods of Teaching Arithmetic

James Alexander McLellan, John Dewey - 1895 - 336 halaman
...halves, or 3 thirds, or 4 fourths . . . or n nths ; that to take a half, a third, a fourth ... an wth of any quantity, it is only necessary to divide by...and illustrations to any extent may be given. Any 12-unit quantity, for example, is measured by f , f ' if ) or by t' f , T! , the identity of the quantity...
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The Psychology of Number and Its Applications to Methods of Teaching Arithmetic

James Alexander McLellan, John Dewey - 1895 - 356 halaman
...instructed) that any quantity may be measured by 2 halves, or 3 thirds, or 4 fourths . . . or n wths ; that to take a half, a third, a fourth ... an nth...however, involved in the very conception of number, and seems as difficult to demonstrate as the definition of a triangle ; but intuitions and illustrations...
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College Algebra

Arthur McCracken Harding, George Walker Mullins - 1928 - 344 halaman
...used will be set down on the next few pages for reference. // both the numerator and the denominator of a fraction be multiplied or divided by the same number, the value of the fraction is not changed, This principle is often used to reduce a fraction to its lowest...
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