...into as many equal parts as there are units in the number by which they are multiplied. PKIN. III. — Dividing both terms of a fraction by the same number does not change the value of the fraction ; thus, ^3 ^ 3 12 -4- 3 ~ 4 The amount expressed by the 9 in the numerator or the 12 in the denominator...

...to fourths." By a general proposition, which we assume has been demonstrated, we have the principle, "Dividing both terms of a fraction by the same number does not change its value;" hence we may reduce J-jj to fourths by dividing both numerator and denominator by any number...

...denominator to the divisor. Thus, the quotient of 1 divided by 2 is i ; 3 divided by 4 is | ; and £ is 2. 2. Dividing both terms of a fraction by the same number does not change its value. For it has been shown, that canceling equal factors in the dividend and divisor does not...

...in the form of a fraction, the dividend being the numerator, and the divisor the denominator ; since dividing both terms of a fraction by the same number does not alter its value, it follows, that we may strike out, or cancel, any factors common to the dividend...

...California look to Mr. Marks to establish beyond question. The author says: "B's class might solve it thus: dividing both terms of a fraction by the same number does not alter its value, dividing by 3 etc., and this, which is called the deductive method, must be satisfactory."...

...Smallest, or Lowest Terms when its numerator and denominator have no common divisor. 161. PRINCIPLE. — Dividing both terms of a fraction by the same number does not change the value of tiie fraction. WRITTEN EX&RCISES. 162. 1. Change ff to an equivalent fraction expressed in its smallest,...

...taken, the value of the fraction will be 4 times as great. 5. Multiplying both numerator and denominator of a fraction by the same number does not change the value of the fraction. . Since multiplying the numerator multiplies the value of the fraction, and multiplying the denominator...

...ratio by any number does not change its value. For, o : e equals the fraction — and multiplying or dividing both terms of a fraction by the same number does not change its value. CASE I. 725. To find the value of a, simple ratio. 1. What is the ratio of 12 to 18 ? SOLUTION....

...result is T65; in T«j there are twice as many parts as in |, but they are only one-half as large. 6. Dividing both, terms of a fraction by the same number does not change its value. Thus, if both terms of Д be divided by 2, the result will be f; in f there are only one-half...

...Smallest, or Lowest Terms when its numerator and denominator have no common divisor. 161. PRINCIPLE. — Dividing both terms of a fraction by the same number does not change tlie value of the fraction. WRITTEN EXERCISES. 162. 1. Change ff to an equivalent fraction expressed...