...Ans. It'fs not. How is the value not altered? Ana. It has 1 een shown heretofore that multiplying the numerator and denominator by the same number does not alter the value, and in this rule they are so multiplied. Give an example of £ and J reduced to a common denominator?...

...alike. Why doe« this not affect the value ? A. It has been proved that multiplying, or dividing both numerator and denominator by the same number, does not alter the value. Reduce f and J to their least common denominator. A. Dividing f by 2 reduces it ; as J ^, EXAMPLES....

...consequent of a couplet by the same number, does not alter the ratio ; for, multiplying or dividing both the numerator and denominator 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 : 4n-2 is 3. 315. If...

...consequent of a couplet by the same number, does not alter the ratio : for, multiplying or dividing both the numerator and denominator by the same number, does not alter the value of the fraction. (Art. 116.) 4 is 3; 4x2 is 3; Thus, the ratio of 12 The " 12x2 And " 12 H- 2 3 1 5. If the two numbers...

...consequent of a couplet by the same number, does not alter the ratio : for, multiplying or dividing both the numerator and denominator 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-h2 is 3. 3 1 5....

...of a couplet by tlie same number, does not alter the ratio : for, multiplying or dividing both the numerator and denominator by the same number, does not alter the value of the fraction. (Art. 191.) Thus, the ratio of 12:4 is 3 ; The " 12X2: 4X2 is 3; And " 12-7-2: 4-7-2 is 3. 485. If...

...finding a common denominator. We know that to multiply the numerator and denominator of a fraction by the same number, does not alter the value of the fraction ; and knowing this, our work is simple. We have but to multiply the whole of the denominators together...

...number, is the same as dividing the value of the fraction by the same number. III. That, multiplying both numerator and denominator by the same number, does not alter the value of the fraction. IV. That, dividing the numerator of a fraction by any number, is the same as dividing the value of...

...number is the same as multiplying the value of the fraction by the same number. VI. That, dividing both numerator and denominator by the same number does not alter the value of the fraction. GREATEST COMMON DIVISOR. 3<$. The greatest common divisor of two or more numbers, is the greatest number...

...day ? LESSON XIII. REMARK.—By inspecting Lessor.s 8th and 9th, we observe, that, multiplying both numerator and denominator by the same number, does not alter the value of the fraction. Hence, to convert a fraction to an equivalent fraction having a different denominator, we may multiply...