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" ... multiplying or dividing both the numerator and denominator by the same number, does not alter the value of the fraction. "
Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ... - Σελίδα 314
των James Bates Thomson - 1847 - 422 σελίδες
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Introduction to The National Arithmetic: On the Inductive System : Combining ...

Benjamin Greenleaf - 1857 - 336 σελίδες
...fraction remains the same. (Art. 133.) Therefore, Multiplying the numerator and denominator of a fraction by the same number does not alter the value of the fraction. RULE.' — Multiply each numerator by all the denominators except its own, for the new numerators;...

Practical Arithmetic: Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - 1858 - 400 σελίδες
...is 8, " " 4x2. 314. To multiply or divide loth the antecedent and consequent of a couplet Ъу the same number, does not alter the ratio ; for, multiplying or dividing both the numerator and denomiQUHST. — 311. What is the ratio of two numbers equal to ? 312. What is the effect of mulliplying...

A Mental Arithmetic Upon the Inductive Plan: Being an Advanced Intellectual ...

Benjamin Greenleaf - 1858 - 186 σελίδες
...fractions a common denominator ? 50. How do you reduce fractions to a common denominator ? 51. Does multiplying or dividing both the numerator and denominator by the same number alter the value of a fraction ? 52. What number added to § of 31 will make 25 ? 53. What number taken...

The Progressive Practical Arithmetic: Containing the Theory of Numbers, in ...

Horatio Nelson Robinson - 1859 - 352 σελίδες
...denominator multiplies the fraction. PRIN. III. Multiplying or dividing both terms of the fraction by the same number does not alter the value of the fraction. These three principles may be embraced in one GENERAL LAW. 12*5. A change in the NUMERATOR produces...

Higher Arithmetic : Or, The Science and Application of Numbers: Combining ...

James Bates Thomson - 1860 - 440 σελίδες
...(Art. 189. Obs.) 484. To multiply or divide both the antecedent and consequent of a couplet by the same number, does not alter the ratio : for, multiplying...Thus, the ratio of 12:4 is 3 ; The " 12X2: 4X2 is 3; And " 12-J-2 : 4-f-2 is 3. 485. If the two numbers compared are equal, the ratio is a unit or 1,...

Practical Arithmetic: Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - 1860 - 402 σελίδες
...of multiplying and dividing both the antecedent and «ouaequent by the some numher 7 Why ? % nator by the same number, does not alter the value of the fraction. (Art. 116.) Thus, the ratio of 12 : 4 is 3 ; The " 12x2: 4x2 is 3; And " 12-^-2 : 4-=-2 is 3. 315. If the...

A Mental Arithmetic, Upon the Inductive Plan

Benjamin Greenleaf - 1860 - 164 σελίδες
...fractions a common denominator ? 50. How do you reduce fractions to a common denominator ? 51. Does multiplying or dividing both the numerator and denominator by the same number alter the value of a fraction ? 52. What number added to | of 31 will make 25? 53. What number taken...

The Normal, Or, Methods of Teaching the Common Branches : Orthoepy ...

Alfred Holbrook - 1860 - 486 σελίδες
...alter the value of the fraction. 4. Dividing the numerator divides the fraction. 6. Dividing both terms by the same number does not alter the value of the fraction. DEMONSTRATIONS. Prop. 1. Because it increases the number of parts while their size remains the same....

Introduction to the National Arithmetic, on the Inductive System: Combining ...

Benjamin Greenleaf - 1861 - 338 σελίδες
...the value expressed remains the same. Therefore, Dividing the numerator and denominator of a fraction by the same number does not alter the value of the fraction. RULE. — Divide the numerator and denominator by any number greater than 1, that will divide them...

Higher Arithmetic, Or, the Science and Application of Numbers: Combining the ...

James Bates Thomson - 1862 - 436 σελίδες
...(Art. 189. Obs.) 484. To multiply or divide both the antecedent and consequent of a couplet by the same number, does not alter the ratio : for, multiplying...Thus, the ratio of 12:4 is 3 ; The " 12X2 : 4x2 is 3; And " 12-f-2 : 4-7-2 is 3. 485. If the two numbers compared are equal, the ratio is unit or 1, and...




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