2006-12-16 01:40:00 · 16 answers · asked by Tazzy375 3 in Science & Mathematics ➔ Mathematics
thank you all
2006-12-16 01:44:17 · update #1
Find the decimal
divide 2 by 19 to obtain the decimal
2 / 19 = 0.105263158
The decimal is 0.105263158
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2006-12-16 01:43:22 · answer #1 · answered by SAMUEL D 7 · 0⤊ 0⤋
You may be familiar with the properties of one-seventh, two-sevenths etc: they are cyclical: the starting point for the decimal form of each of the 6 fractions is one of the six digits in the cycle and the rest rotate in order after it.
1/7 = 0,142857 recurring
2/7 = 0,285714 recurring
3/7 = 0,428571 recurring
4/7 = 0,571428 recurring
5/7 = 0,714285 recurring
6/7 = 0,857142 recurring
It is less well -known however tbat the fractions 1/19 through 18/19 exhibit the same property. i.e. know (or work out) any one of them and you can easily find the rest
There are 18 fractions and the starting point for each is one of the 18 digits in the cycle and the rest rotate in order after it.
1/19 = 0,052631578947368421 recurring ,,,
2/19 = 0.105263157894736842 recurring ...
3/19 = 0,157894736842105263 recurring ,,,
4/19 = 0.210526315789473684 recurring ...
5/19 = 0,263157894736842105 recurring ,,,
6/19 = 0.315789473684210526 recurring ...
7/19 = 0,368421052631578947 recurring ,,,
8/19 = 0.421052631578947368 recurring ...
9/19 = 0,473684210526315789 recurring ,,,
10/19 = 0.526315789473684210 recurring ...
11/19 = 0,578947368421052631 recurring ,,,
12/19 = 0.631578947368421052 recurring ...
13/19 = 0,684210526315789473 recurring ,,,
14/19 = 0.736842105263157894 recurring ...
15/19 = 0,789473684210526315 recurring ,,,
16/19 = 0.842105263157894736 recurring ...
17/19 = 0,894736842105263157 recurring ,,,
18/19 = 0.947368421052631578 recurring ..
(note how the eighteenth digit of each decimal increments by one on the previous one.)
which raises the interesting question of whether there are any other such sets of fractions with these properties.
2006-12-16 10:14:46 · answer #2 · answered by brucebirchall 7 · 0⤊ 0⤋
2/19 = 0.10526315789473684210526315789474
2006-12-16 11:01:04 · answer #3 · answered by Ranna Renni 2 · 0⤊ 0⤋
2/19 = 0.1052631579
2006-12-16 09:42:14 · answer #4 · answered by nermil 5 · 0⤊ 0⤋
2/19 =0.10526316
2006-12-16 09:59:50 · answer #5 · answered by tomzy 2 · 0⤊ 0⤋
Divide manually to obtain the exact representation
2/19 = 0.105263157894736842
0.105263157894736842...
the rest repeats the same.
2006-12-16 09:50:35 · answer #6 · answered by mulla sadra 3 · 0⤊ 0⤋
2/19=x/100
2*100=200 200/19=roughly10.52631/200
10.52631*.5=about 5.263% when rounded
5.263%=0.05263
2006-12-16 09:58:23 · answer #7 · answered by me 1 · 0⤊ 0⤋
2 and 19 both are first number...y cant do it....
2006-12-16 09:43:20 · answer #8 · answered by celever 2 · 0⤊ 0⤋
It is
2 / 19 = 0.(105263157894736842)
2006-12-16 09:58:44 · answer #9 · answered by Anonymous · 0⤊ 0⤋
.1053
2006-12-16 09:56:36 · answer #10 · answered by openpsychy 6 · 0⤊ 0⤋