...denominator, since, by IX, о а a _ ad , c_ _ 6c 6-6d " d-6d' By XI, we can complete the process. XIII. The product of two fractions is a fraction whose numerator is the product of the numerators and whose denominator is the product of the denominators. Ï-I-3XIV. To divide one fraction...

...denominator, since, by IX, va ? = ^ and ° = fc. b bd d bd By XI, we can complete the process. XIII. Tlie product of two fractions is a fraction whose numerator is the product of the numerators and whose denominator is the product of the denominators. î-iSXIV. To divide one fraction...

...further. 43. Multiplication of Fractions. The product of two or more fractions is a fraction ?chose numerator is the product of the given numerators and...denominator is the. product of the given denominators. 44. Since an integer or an integral expression may be regarded as a fraction with denominator 1, this...

...| (-pr | , - q)(p + r) (qr)(qp) (r - q)(r + p) 3^ + 1 MULTIPLICATION AND DIVISION OF FRACTIONS 160. The product of two fractions is a fraction whose numerator...denominator is the product of the given denominators. _, , • an an Ihatls> '=' n , . an For let x = - • — bd Then , ,/an\ „ „ = м(т ' -, •...

...the divisor. f-HH— H'I In general, J . S_(S . 0 a \0 J 0 oO That is, the product of two algebraic fractions is a fraction whose numerator is the product...denominator is the product of the given denominators. Illustrative Example. Multiply , x>—'L - by *J > J and reduce the resulting fraction to its lowest...

...MULTIPLICATION AND DIVISION OF FRACTIONS 160. The product of two fractions is a fraction whose numerar tor is the product of the given numerators and whose denominator is the product of the given denominators. rru - • an an Thatls> ---=For let x = - • 2. Ь a Then Wz = Ьd(2 • -V §7 \bd/ bdx = b - ^ -...

...(8x4)x(£xf) = (8x£)x(4xf). Therefore, (8 x 4) xx = 1 x 3. Associative Law. Dividing by 8 x 4, x = ^-5Hence, the product of two fractions is a fraction whose numerator is the product of the numerators of the fractions, and whose denominator is the product of the denominators of -the fractions....

...fX| = ? <2) ixf = ? (5) fxf = ? (8) fxf = ? (3) fXf = ? (6) f Xf = ? (9) f Xf = ? The product of any two fractions is a fraction whose numerator is the product of the numerators and whose denominator is the product of the denominators. 7. Answer as rapidly as you can...

...= - • (Ax. 4) xy But from (3), mn = -.-- Therefore, «.6 = «*. (Ax. 5) * y xy In general : 166. The product of two fractions is a fraction whose numerator...denominator is the product of the given denominators. (6) A FRACTION MULTIPLIED BY AN INTEGER Since any integral expression, b, has a denominator, 1 : From...

...eighths. 1/4 of 1/2 in. = 1/4 of ? eighths, or ? eighth. The product of two fractions is evidently a fraction whose numerator is the product of the given...denominator is the product of the given denominators. The computation may be simplified, in some cases, by cancellation. ILLUSTRATIONS. Multiply 3/85 by...