 | Warren Colburn - 1849 - 166 σελίδες
...lowest terms. Note. It will be seen by the above section that if both the numerator and denominator be multiplied by the same number, the value of the fraction will not be altered ; or if they can both be divided by the same number without a remainder, the fraction... | |
 | Charles Davies - 1852 - 344 σελίδες
...the value of the fraction ia not changed ; therefore, we have PROPOSITION V. — If both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. EXAMPLES. 1. Multiply the numerator a.nd denominator of f by 1 : 7X7 — 49 2. Multiply... | |
 | Warren Colburn - 1853 - 268 σελίδες
...the number, by which 7, the second denominator, must be multiplied to produce 35, and consequent!} the number by which the numerator 4 must be multiplied....numerator and denominator can be divided by the same number, without a remainder, the value of the fraction will not be altered. In fact, if the numerator... | |
 | William Smyth - 1855 - 370 σελίδες
...certain properties in relation to known and given iimrnbers. 1. To demonstrate that if both terms of a fraction be multiplied by the same number, the value of the fraction will not be •changed. Let the proposed fraction be designated by -, and let n be any number whatever.... | |
 | William Smyth - 1858 - 344 σελίδες
...certain properties in relation to known and given numbers. 1. To demonstrate that if both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. Let the proposed fraction be designated by -, and let n be any number whatever. Putting... | |
 | Isaac Todhunter - 1858 - 530 σελίδες
...and divided by the same number its value is not altered. Hence if the numerator and denominator of a fraction be multiplied by the same number the value of the fraction is not altered. For the fraction is multiplied by any number by multiplying its numerator by that number,... | |
 | Silas Lawrence Loomis - 1859 - 324 σελίδες
...fraction? What other method to multiply a fraction ? t PROP. 5. — IF BOTH THE NUMERATOR AND DENOMINATOR BE MULTIPLIED BY THE SAME NUMBER, THE VALUE OF THE FRACTION WILL REMAIN THE SAME. ILLUSTRATION. — A half of an apple is equal to two-fourths, thus : 2 x | = f . EXAMPLES. 731. Multiply... | |
 | Horatio Nelson Robinson - 1859 - 208 σελίδες
...be increased as many times as th'cre are units in the divisor. 6. If both numerator and denominator be multiplied by the same number, the value of the fraction will not be changed. 6. If both numerator and denominator be divided by the same number, the value of the... | |
 | Horatio Nelson Robinson - 1860 - 190 σελίδες
...be increased as many timos as there are units in the divisor. 6. If both numerator and denominator be multiplied by the same number, the value of the fraction will not be changed. 6. If both numerator and denominator be divided by the same number, the value of the... | |
 | Charles Davies - 1861 - 496 σελίδες
...part; henco the value of the fraction is not changed: therefore, PROPOSITION V. — If both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. Examples. 1. Multiply both terms of the fraction f by 4, by 6, and by 5 2. Multiply... | |
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It appears from the above reasoning, that if both the numerator and denominator of any fraction be multiplied by the same number, the value of the fraction will remain the same. 
