\fdO'^ - Old Forge Coal Mines

22 ARITHMETIC.
(45) The man evidently traveled 85 ^ + 78 ^ + 125 ^
±'V J.D oo
miles.
Adding the fractions separately in this case,
5 9 17_ , 5 3 17 _ 175 + 252 + 204 _ 631 _ 211
12 """is "^35 "12"'" 5 "'"35" 420
~ 420 ~ 420"
Adding the whole numbers and the mixed number 85
representing the sum of the fractions,
289— miles. Ans.
the sum is 78
^^
To find the least common denominator, we have oqq8 1 1
5 )12, 5, 35
7 )12, 1, 7
12, 1, 1, or 5X7X12 = 420.
(46) sraitons. i = |?
m|tons. 1 = 1
7 7
M 40 40
diiference 357 -77: tons. Ans. = -77: difference.
-^^
(47) Reducing 9 j to an improper fraction,
37 ^, ,.. , — .
. 37 , 3 37 3 111 ^ 15 , ,,
Multiplymg -4 t>y g, J X g
it becomes
= -gy = 3 — dollars. Ans
(48) Referring to Arts. 114 and 116,
- of -J of — of j-r of 11 multiplied by — of - of 45 =
o 4 11 -«0 o
3
^X^x7xl9x;;x7x5x^^ 7x19x7x5x3 _ 13,965
^X4x;;x^pxlx8x^xl ~"
4x4x8 128
4 ^
1 ^
109^. Ans.
4 6
(49) |-ofl6 = |x^ = 12. 12-| = ^x|=18. Ans.
(50) 211 J X 1 Q — ~7-X-K-» reducing the mixed numbers