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yasmeen
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Simplify 16 Aug 2007, 04:16
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1 + _1__
1 + __1_
1 + __1__ EXPLAIN
1 + __1__
1 + 1 / 7


a.38/23 b. 61/38 c. 23/38 d. 38/61



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eschn3am
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Simplify 16 Aug 2007, 09:53
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I'm not sure that I understand the question here...
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yasmeen
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Simplify 16 Aug 2007, 10:12
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its continous division

1 + 1 /
1 + 1/
1 + 1/
1 + 1/
1 + 1/ 7

a.38/23 b. 61/38 c. 23/38 d. 38/61
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misterJJ2u
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Simplify 16 Aug 2007, 10:31
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i got B.

Took the long way--i'm sure there's a shortcut somewhere.
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misterJJ2u
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Simplify 16 Aug 2007, 11:18
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Quote:
s continous division

1 + 1 /
1 + 1/
1 + 1/
1 + 1/
1 + 1/ 7

a.38/23 b. 61/38 c. 23/38 d. 38/61
Show more


You've got to be careful but look at each piece individually:
(A) 1+(1/7) = 8/7


(B) 1+1/(8/7)...
(i) First, figure out 1/(8/7) = 7/8
(ii)Then, 1+7/8 = 15/8

(C) 1+1/(15/8)...
(i) First, figure out 1/(15/8) = 8/15
(ii)Then, 1+8/15 = 23/15

(D) 1+1/(23/15)...
(i) First, figure out 1/(23/15) = 15/23
(ii)Then, 1+15/23 = 38/23

(E) 1+1/(38/23)...
(i) First, figure out 1/(38/23) = 23/38
(ii)Then, 1+23/38 = 61/38

therefore answer is 61/38.

THe key is to know how many times you have to do the repeating division.
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chiya
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Simplify 16 Aug 2007, 11:22
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its continous division

1 + 1 /
1 + 1/
1 + 1/
1 + 1/
1 + 1/ 7

Now 1st solve the last line so it becomes
1 + 1 /
1 + 1/
1 + 1/
1 + 1/
8/7
=>
1 + 1 /
1 + 1/
1 + 1/
1 + 7/8
=>
1 + 1 /
1 + 1/
1 + 1/
15/8
=>
1 + 1 /
1 + 1/
1 + 8/15
=>
1 + 1 /
1 + 1/
23/15
=>
1 + 1 /
1 + 15/23
=>
1 + 1 /
38/23
=>
1+23/38
=>
61/38

So answer is B
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yasmeen
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Simplify 16 Aug 2007, 19:39
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Great goin Chiya 8-)



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