The three repeats infintely.
2007-03-07 05:12:03 · 11 answers · asked by Kali J 1 in Science & Mathematics ➔ Mathematics
Think of it this way:
.083 = 83 and 1/3 divided by 1000 = (250 / 3) / 1000 = 250 / 3000 = 1 / 12 when you simplify.
2007-03-07 05:22:22 · answer #1 · answered by Land Warrior 4 · 3⤊ 0⤋
x = .08333333333333333333333333333333333333333333
10x = .833333333333333333333333333333333333333333
subtract top equation from bottom equation to get:
9x = .83 - .08 (the 3's repeating forever starting from the 3rd decimal place cancel).
9x = .75
x = .75/9
x = 1/12
In general, if the pattern of repeating numbers is more than 1 digit.. i.e .121212121212 or .123123123123123123123, then you would multiply by 100, or 1000, or simply 10^x, where x is the length of the repeating pattern (in above examples 2 and 3 respectively)
2007-03-07 05:32:47 · answer #2 · answered by ........ 5 · 0⤊ 0⤋
1/12
2007-03-07 05:19:13 · answer #3 · answered by Vlado 4 · 0⤊ 0⤋
The easiest thing to do here is to multiply your number by 3 to get rid of that pesky repeating decimal.
3 X 0.083333... = 0.25 or 1/4
But since you multiplied the original problem by 3, you now have to divide by 3 or, equivalently, multiply by 1/3
1/4 X 1/3 = 1/12
2007-03-07 05:23:25 · answer #4 · answered by dogsafire 7 · 1⤊ 0⤋
Kali 083
2016-10-02 21:42:23 · answer #5 · answered by cerenzia 4 · 0⤊ 0⤋
IT's on twelfth 1/12
2007-03-07 05:19:41 · answer #6 · answered by Maverick 7 · 0⤊ 0⤋
Divide 1 by .0833333..
The result will be the denominator of your fraction. The numerator wil be 1.
Since you can't extend your 3's out forever, your denominator will be approximate. You can fine tune it by guessing. 1 divided by your denominator should give you .0833333...
2007-03-07 05:18:24 · answer #7 · answered by Bob G 6 · 0⤊ 0⤋
None other than 1/12
1/12 = 0.08333333333333
I used scientific calculator for this.
check this out for help
http://www.sosmath.com/algebra/fraction/frac6/frac613/frac613.html
2007-03-07 05:18:24 · answer #8 · answered by Ali 3 · 0⤊ 0⤋
OK!
0.08333... = 0.08 + 0.00333...
= 8/100 + (1/100)*0.333...
= 8/100 + (1/100)*(1/3)
=8/100 + 1/300
=24/300 + 1/300
=25/300
=1/12
Done!
2007-03-07 05:14:44 · answer #9 · answered by Jerry P 6 · 1⤊ 1⤋
0.083... = 8 / 100 + 1 / 300
0.083... = (8*3 + 1) / 300
0.083... = 25 / 300
0.083... = 1 / 12
2007-03-07 05:17:05 · answer #10 · answered by Tim 4 · 0⤊ 0⤋