...5x3 3 gives = - — , which brings it to the rule. 7 x 2 Otherwise, since the multiplication of the dividend and divisor by the same number does not change the quotient (Art. 14. Cor. 1.) (Art 20.), which is the rule. 52 2x7 Or thus, •= -f- -5 = 5 -5 -- s — =5x3-^7x2...

...fractions having a common denominator, equals the quotient of tJieir numerators. 2. The multiplying of both dividend and divisor by the same number does not change the value of the quotient. 102. RULES. — To divide a fraction by a fraction, 1. Reduce the fractions...

...divided by any number, the quotient will be multiplied by the same number. 8. Multiplying or dividing both dividend and divisor by the same number. does not change the quotient 9. If the denomination of the divisor be less than units, the denomination of the quotient must be...

...before, because rejecting a factor is dividing by that factor, and we learned in § 104 that dividing both dividend and divisor by the same number does not change the quotient. 114. On the same principle, the work may be shortened when the factors of dividend, or divisor, or...

...same number does not change the quotient. 217. It has already been shown, in Art 107, that Dividing both dividend and divisor by the same number does not change the quotient. 90 (18 90 (18+2 90 {18+6 5 90 (9 10=2x5 90 (3 30=6xS 32 (8 2x32 (2x8 5x32^5x8 4 64 (16 160 {40 4 4...

...is 6, is contained in 24 one half of 8 = 4 times. ART. 75. THEOREM VI. — Multiplying or dividing both dividend and divisor by the same number, does not change the quotient. DEMONSTRATION. — This follows from the two preceding theorems; for the effects produced by multiplying...

...quotient by that number, and dividing the dividend divides the quotient, III. Multiplying or dividing both dividend and divisor by the same number does not change the quotient. Exs.— 48 -H 8 = 6. Keep the same dividend ; then, Doubling divisor halves quotient: 48 -s- 16 = 3...

...multiplying the Divisor by any number, divides the Quotient by that number. 3. Multiplying or dividing both Dividend and Divisor by the same number, does not change the Quotient. NOTE TO TEACHER. — Let the pupils be required to show the reason for the above principles, and give...

...rejecting the factor 3 from 72, we have 24, the quotient of 72 divided by 3. PROP. II. — Dividing both dividend and divisor by the same number does not change the quotient. Thus, 60 -H 12 = 20 threes H- 4 threes = 5. Observe that the unit three, in 20 threes -=- 4 threes,...

...multiplying the Divisor by any number, divides the Quotient by that number. 3. Multiplying or dividing both Dividend and Divisor by the same number, does not change the Quotient. 4. A General IMW. — A change in the Dividend by multiplication or division produces a similar change...