Elementary arithmetic, with brief notices of its history... by Robert Potts.

12
III.
Reduce the following sets of fractions to equivalent fractions, each set
having the least common denominator.
1. and; and -; -. and-; -, 4 and;, -4, and -1
3 ~Is 4 an 1 7 5; 7- 1 T 9-;
3, -4 and -.
2. 2 and 4; f4 a and 7; 4,, I and.;,2, 3,; and %:;
2 A,, and.
5- 3 7 2 and- T3^3. 3and; I IandI 4.,5- and; -, ~, I and;, -
-2, - and vy.
IV.
Find the sums of the following twenty-three sets of fractions in
their simplest forms:1. and.. 2. and -. 3. 2 — and 5. 4. - and 544. 5. 3-, 17I
and 6. 11, 21and 31. 7. ofand-of 21 8. 41 and 3 of 2..27 223 and9 r16 10 0
i 1,2 17,, 2 - and a. 10. 100-, 645 and - of 701. 11. of,7 2 of 5 of 14 and 3 of5 of 1. 12. 2, 1 5 - and A1
13. 253~, 47-, 54, and 3- of 72. 14. 3871, 285-, 3941- and - of 3704.
15. 6-, 81, 91r and 103. 16. 5 of 6 and -r of 7. 17. 1 2
0 7 _ __ 7 42 __.4, 4, 4, q, X- and 8. 18. 10,-2 202,-i 30 O39 and 403446. 19. 4
of 4 of 524, -4 o of of 5064 and 4. of -5 of 3 of 1864. 20. -f, f of
a f of 2~, o of 8
4 of - r of of of and o2 of 4T of 3 of, and - of of 8.
21. of 2 and 7 of 4 of 12. 22. 81 and T1 23. 3 13
144 and 151r.
V.
Find the differences between each of the following two fractions:1. 7- and 5. 2. 3- and 5.. 3. 3.3 and 54. 4. 27- and 12-.
5. %- Pof 140 and 4 of 1000. 6. A of o a of 7- and - of 200. 7. - of 1
of and 5 of 4 of 2.- 8. 101-7 and 4 of - of 999. 9. 5 of 4
and of 2f. 10. ofoof 5 and 10. 11. 2 of 5 of 16 — and 491.
12. of - of 2509 and of - of 10000. 13. 4 of 53 and 2 of 4.
14. 3 of 9999 and - of 10000. 15. 4I of 1 of 7874 and 4 of 5896-.
VI.
Find the products of the following sets of fractions in their simplest
form:1. and. 2. a andl- 3. 3. and. 4. 5 and A. 5. and A.
B. 1 and 21. 7. 201 and 12-.8.8., }and~1. 9. 21451 and 7987.
10. a -,a _ ndI. 11., -A, and. 12. of and of 4. 13. -
of 2 and " of 41. 14. a of and 11. 15. of 4 of 2 and X of of
1000. 16. -- of 3 of 23 and r of of 290o1. 17. - of - of 1864.and - of - of 11. 18. 1 1, 21, 3-, 4- and 5}. 19. - of 4857 and
of 3o6 20.,15 16 1,, and —. 21. 77, 5, 2., and-.1
X21 2 L2-37 7~G' WT. I '~'f '-, Y-6') 'g8 -5~ ' 8 " ~
22. A,, 47 29 47 and " 23. 1000 — and 100.1-o 24. 1-r of
1000 and 64 of 10000.