that is, mint 22. What is the part of jy? į or j is and times as much, that is, That is, à 5 = is a S as 23. Multiply Jlence, to multiply one fraction by another, multiply the numerators together for a new numerator, and the denominators together for a new denominator. Arith. Art. XVII. 2 a 2 al 23. Multiply 3 c 6 cm 3 a d I am 7a2d m 24. Multiply 460 5 c n rofe ? m 347"360 2by',m2 26. What is 2 a' m 8bfilos? Elm 5cd 3 m d se radi 4.6%d 27. What is 7bm ? 28 itd 38 9 am 13 n 1 ling? 23. Multiply 2 a cab.C. a'c ? 4 10 5 ab is a fè & sabel 2 am – 3 mm 5am? 29. Multiply 7 ks 4ac+20 2 a m - 5072 round reeman 25. Multiply by 25 a fe2.o act llabeathadt XVI. Multiplication and Division of Fractions. B7 2 ac + 3 3 abcc89, ac tu 30. Multiply 5b6-2 de oy 50c-2ado 2602-13 am 2a — m + 3 mm 31. Multiply 13 ac 7 am 17 am C+5 33. Multiply by b. , in which a is divided into – part as many parts ; hence 17 ab 35. Multiply 32 c 36. Multiply 7 a m'. 42 am 37. Multiply ab 25 moc 38. Multiply by 6...? 16 . 46. Sac. omes 39. Multiply são by ab. I 3 ac 40. Multiply 4 a 6' — 460 are 41. Multiply 17-4bc 1601 - 19. D o by 40.17-4*C -366 23 m- 13 42. Multiply 35 m2 c d = mic + 42 m ad 23m-13 by 7 ma come 43. Multiply by 5. mal Dividing the denominator by 5 it becomes t, or 3.. Altiply by b. Dividing the denominator by b it becomes a., or a. 44. Multiply bad by 5bd. Ans. Sąc = 3 ac. In fact multiplied by ő is š = 1, and of being a times as much as , must give a product a times as large, or a, times 1, which is a. Hence, if a fraction be multiplied by its denominator, the poem duct will be the numerator. 45. Multiply · Tacm by 56 d. laem 46. Multiply 25 by 36c. 25 18+ 47. Multiply, 46 me in 46 m 48. Multiply 12 mo yo bd n r. ! 2 7 dni m / 49. Multiply 13 ab— n by 170.13 a town 17 am 50. Multiply 15 ac + 37 bc he 3700 by 10 ab—2c. 15 aet?) 10 ab—2C 47 a m® +36-C by am - 3 am +0.47 51. Multiply a. *? — 3 am to Two ways have been shown to multiply fractions, and two ways to divide them. To multiply a fraction, S the numerator To divide a fraction, S multiply 3 the denominator. To divide a fraction, ? S the numerator. the denominator. Reducing Fractions to Lower Terms. XVII. If both numerator and denominator he multiplied by the same number, the value of the fraction will not be altered. Arith. Art. XIX. For multiplying the numerator multiplies the fraction, and multiplying the denominator divides it; hence it will be multiplied and the product divided by the multiplier, which reproduces the multiplicand. In other words, a signifies that a contains b a certain number of times, if a is as large or larger than b; or a part of ontime, if b is larger than a. Now it is evident that 2 a will contain 2 b just as often, since both numbers are twice as large as before. So dividing both numerator and denominator, both divides and multiplies by the same number. $_2 X 3_6_7 X3 _21 _ 3 xb _ 36 852 510 - 70 535 5 x D - 56° .a _ 20 - 5a _ac_2acd b c 2 b c d Hence, if a fraction contain the same factor both in the numerator and denominator, it may be rejected in both, that is, both may be divided by it. This is called reducing fractions to lower terms. vam to its lowest terms. Ans. 15 b c AL 2. Reduce 12 a c 40 x 1. Reduce 9 am 16 ana to its lowes 3. Reduce 20m to its lowest terms. Ans. 30 7 m 4. Reduce 32 6 m y to its lowest terms. ice 16 borgi toit 5. Reduce 52 a bázia to its lowest terms. . 13 a*b* 6. Reduce 15 a* c — 25 a? to its lowest terms. 5 abc + 55 a® 7. Reduce 27 mör- 54 zria - to its lowest terms. · 108 a x + 81 x 90 m za 8. Divide 35 ao b m® 2. by 7 aon mo x. Write the divisor under the dividend in the form of a frac, tion, and reduce it to its lowest terms. |