...integer may be considered a fraction whose denominator is 1 ; thus, <,-';. 2. Multiplying or dividing both terms of a fraction by the same number, does not change its value. REDUCTION OF VULGAR FRACTIONS. I. To reduce a mixed number to an equivalent improper fraction....

...denominator must be based on the principle that, numerators and denominators multiplied or divided by the same number, does not change the value of the fraction. On this principle, we may understand the following rule, which is universal in its application : RULE....

...inspecting propositions 2 and 4, we deduce PROPOSITION 6. — Dividing both numerator and denominator of any fraction by the same number, does not change, the value of the fraction. QUESTIONS. ART. VI, Repeat proposition 1. Why is this so 7 Repeat proposition 2. Why is this so 7 Repeat...

...Any whole number may be expressed like a fraction, by writing 1 under it. 2. Multiplying or dividing both terms of a fraction by the same number does not change its value. REDUCTION OF VULGAR FRACTIONS. PROB. l. To reduce a fraction to its lowest terms. RULE....

...inspecting proposition 2 and 4, we deduce PROPOSITION 6. — Dividing both numerator and denominator of any fraction by the same number, does not change the value of the fraction. MULTIPLICATION OF FRACTIONS BY INTEGERS. ART. 117. According to propositions 1st and 2d, to to multiply...

...respective numerators, for new numerators. NOTE 1. — Each of these rules is founded on the principle that multiplying both terms of a fraction by the same number does not alter its value (60, Cor). 15. Reduce f, -fa, -^ and JJ to their least common denominator. ?, At _Z}...

...Fractions to a Common Denominator. — After the pupil has thoroughly learned that multiplying or dividing both terms of a fraction by the same number does not change its value, he is then prepared to learn how to reduce fractions to a common denominator. The following...

...million, five hundred and seventy-eight thousand, six hundred and ninetytwo ten-millionths. 164.. Since multiplying both terms of a fraction by the same number does not alter its value (Art. 147, a, Note 1), annexing one or more ciphers to a decimal does not affect its...

...in 18, which is -If. SOLUTION 2o. — Since, by Prop. VI., dividing both numerator and denominator by the same number does not change the value of the fraction, by dividing both numerator and denominator by 4 we have 4j. RULE. — Divide the numerator by the denominator,...

...three million, five hundred and seventy-eight thousand, six hundred and ninetytwo ten-millionths. Since multiplying both terms of a fraction by the same number does not alter its value (Art. 147, a, Note 1), annexing one or more ciphers to a decimal does not affect its...