...both »increased or diminished in the same proportion, that is, if they arc both multiplied or divided by the same number, the value of the fraction is not altered ; therefore every Vulgar Fraction may be expressed in a variety of forms, and yet retain the same value....

...multiplied. NB 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. It will follow also from this, that if both numerator and denominator can be...

...their common denominator. The principle of this rule is, that if the numerator and denominator be both multiplied by the same number, the value of the fraction is not altered. That both terms are multiplied by the same number, by applying the preceding rule, will readily appear...

...multiplied. NB 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. It will follow also from this, that if both numerator and denominator can be...

...mixed number by a mixed number? 23. How does it appear, that in multiplying both terms of the fraction by the same number the value of the fraction is not altered? 24. How many ways are there to divide a fraction by a whole number ? — What are they? 25. How does...

...mixed number by a mixed number ? 23. How does it appear, that in multiplying both terms of the fraction by the same number the value of the fraction is not altered ? 24. How many ways are there to divide a fraction by a whole number ? — What are' they? 25. How...

...multiplied. NB 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. It will follow also from this, that if both numerator and denominator can be...

...demonstrating certain properties in relation to known and given numbers. if 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 p and let n be any number whatever....

...decimals. Another mode of explaining the above operation may be given. 13. Change Jg to a decimal. If both numerator and denominator of- a Fraction be multiplied by the same . number, the value will not be altered, (§ XLI.) I may therefore multiply both the 7 and the 16 in the above Fraction,...

...mixed number by a mixed number ? 23; How does it appear, that in multiplying both terms of the fraction by the same number the value of the fraction is not altered ? 24. How many ways are there to divide a fraction by a whole number? — What are they ? 25. How does...