The number 2.525252525252... can be written as a fraction.
What is the sum of the terms of the fraction?
2007-09-02 06:41:16 · 5 answers · asked by Christine P 5 in Science & Mathematics ➔ Mathematics
let
x = 2.525252525252...
100x = 252.5252525252...
100x - x = 252.5252525252... - 2.525252525252...
99x = 250
so
x = 250/99 is the fraction
I'm not sure what the rest of your question means
250 + 99 = 349 maybe??
the end
.
2007-09-02 06:49:28 · answer #1 · answered by The Wolf 6 · 1⤊ 1⤋
250/99 gives you the fraction
I'm not sure what it means by the sum of the terms of the fraction unless this is supposed to be 250+99 = 349 but that is a bit of a meaningless number.
2007-09-02 06:53:09 · answer #2 · answered by piscesgirl 3 · 0⤊ 1⤋
Let x be the number:
x=2.525252...
Then
100x=252.525252.... and it's still true that
1x=2.525252...
Subtracting the two equations gets rid of the decimals:
99x=250
So, x=250/99 and the sum of the terms is 349!!
Fun problem.
2007-09-02 06:54:53 · answer #3 · answered by Anonymous · 0⤊ 1⤋
Let P = 2.525252525....
& 100P = 252.52525252552....
Subtract 100P from p = 99P
Hence it follows that
252.5252525. - 2.525252525.. = 250
Hence 99 P = 250
P = 250/99
P = 2 (52/99)
2007-09-02 06:52:43 · answer #4 · answered by lenpol7 7 · 1⤊ 1⤋
525252525252...
2 ---------------------
1000000000000...
2007-09-02 06:54:06 · answer #5 · answered by Dept. of Redundancy Department 7 · 0⤊ 1⤋