A Brief Course in Arithmetic, Oral and Written

This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1896 edition. Excerpt: ...change the result to a simpler form. WRITTEN. 1 to 48. Find the sum of the fractions in Exercises 1 to 48 on page 103. 49. 15 + 13f + 3 50. 18 + 17 + 19 51. 141 $ + 192 52. 4f+ 13+16 fr 53. 83 + 94 + 61 54. 9f + 17 + 16$ 55. 33 + G6 + 51 56. 5 + Gf + 18 57. 18 + 16 J + 144$ 21 to 47. Find the sum of qo Qf)JL 4. 77 the fractions in Exercises 10 to 36 + 1TM on page 101. 59. 89 + 7 + tf SUBTRACTION OF FRACTIONS. 164. Inductive Exercises.--1. A dressmaker cut of a yard of cloth from a piece-of a yard long. How many eighths were left? 2. A lad who had $$ spent $. How many tenths had he left? 3. From of a foot take J of a foot, and what is left? 4. Mr. Ames sold f of his farm. What part had he left? 5. f-f =? 6. f-i =? 7. &-f=? 8. From 3 take 1. 9. From 1 take f. 10. I bought 2 tons of coal and sold 1 tons. How much was left? 11. Find the difference between f and f.--= J-f--If =-jg-, Ans. Solution.--Changing the fractions to fractions having a common denominator, we take the difference of the numerators and write it over the common denominator, and have fe as the difference required. Hence, 165. To subtract one fraction from another, --Change the fractions, if necessary, to fractions having a common, denominator, and then write the difference of the new numerators over the common denominator: 12. What is the difference between 7 and f? Solution.--7-f = 6f-f = 6f, Ans. 13. Subtract 17f from 108f. 108 = 108 = 107 # Solution, --We first 276.---1715.--17?i change the fractions to--Qnl 7, like fractions. As the "' fraction of the subtrahend is larger than the fraction of the minuend, we take 1, or #, from 108. leaving 107; adding the f# to the J#, we have Jf J$ less t& = H, ...