Can anyone change 0.22222 repeating  to a fraction?
106212
To solve it algebraically, you let x = 0.2222222...\nThen times both sides by 10. This moves the decimal point to the right one place:\n\n10x = 2.2222222222...\n\nIf you subtract the first equation from the second one, all the .22222222etc become 000000000\n\n2.2222222222-0.22222222222 = 2.000000 or 2\n\n10x - x = 9x\n\nso you have 9x = 2\n\nJust divide both sides by 9 and you get x = 2/9.\n\nIf it had been a 2-digit repeating decimal, like 0.2424242424 you would multiply both sides by 100 in the beginning because you'd need to move the decimal point 2 places to get all zeros when subtracting.  Hope that helps.
946717
I think the simplest way to solve this is to move the decimal place over one to the left.   If for example they wanted 1% you would move it over two to the left.  If they wanted .01% three to the left.  If they wanted .001% four to the left.  You get the point. \n\nSo 10%= $2500
924084
Start with the fixed part... 2.1 is 21/10.\n\nThe rest of the number is 0.036363636...\nLet's call that x.\n\nx = 0.036363636...\nNotice what happens if you multiply by 100.  I picked 100 because there are two repeating decimals.  If there were 1 you would pick 10, if 3, you would pick 1000, if 4 pick 10000, etc.\n100x = 3.6363636...\n.......x = 0.0363636...\n\nSubtract and the repeating decimals are cancelled:\n99x = 3.6\n\nMultiply by 10 to get rid of the last remaining decimal:\n990x = 36\n\nNow solve for x:\nx = 36/990\n\nNow you just need to add your two fractions:\n21/10 + 36/990\n\nGet a common denominator:\n21*99/990 + 36/990\n\n= (2079 + 36)/990\n= 2115/990\n\nNow reduce:\n= 235 / 110\n= 47 / 22\n= 2 3/22\n\nSo your answer is 2 and 3/22.\n\nYou can also do this in one step, without having to do the two parts:\n100x = 213.63636...\n.......x = .....2.13636...\n\nSubtracting:\n99x = 211.5\n\nMultiply by 10 to remove the decimal:\n990x = 2115\n\nSolve for x:\nx = 2115/990\nx = 47/22\nx = 2 3/22\n\nA final way, if you now understand the underlying math is to just do the following:\n\nPull out the part in front of the decimal (2)... just keep that for later.\n\nThe remaining part is 0.136363636... \nSince we have two repeating decimals, use two nines (99).  However, since it is offset by one fixed digit, add a trailing zero (990).\nTake the fixed digit (1) and subtract it from your number (136, ignoring anything but the first repeat).  This leaves 135.\n\nSo the fraction should be 135/990.  This reduces to 3/22.\n\nSo it becomes 2 and 3/22.\n\nAlways check that the final result makes sense.  Obviously the first part of the mixed fraction should match the decimal (2) and it does.  If you put 3/22 in your calculator, you get 0.1363636...\n\nThere's 3 different methods and they all give you 2 and 3/22.
1135128
0.41\nor 41/100\n\n41 is prime so it cannot get smaller.
316466
Another answerer gave an example, but I thought it\nmight help to explain it to.\n\nFor any large (or small) number, move the decimal\npoint to just after the first non-zero digit (so\nthat you end up with a number between 1 and 10.\nThen specify the number of digits that the decimal\nwas moved using the "times 10 to the something power"\nnotation.\n\nFor example, 123 would be "1.23 X 10^2"\nOr .00023 would be "2.3 X 10^-4" \n\n(where "^" means "to the power of")
535427
To do this, you have to do sin^-1 * decimal. Because Yahoo Answers only displays up to .0145, I'll do sin^-1 * .0145, which would be about 0.8308
742231
I don't understand "readability" either, but I could point out that I would replace "to the power of " with the uppercase character on your 6 key, the "^". So 4.06 x 10^5 is the way I'd do it.
683869
0.01 is already decimal..\nif you want 0.01%, it should be 0.01/100=0.0001
998641
The answers above are great for cases where the repeating part is right at the beginning as shown in the examples below:\n\n0.22222222... = 2/9\n0.54545454... = 54/99\n0.298298298... = 298/999\n0.142857142857... = 142857/999999 = 1/7\nDivision by 9s causes the repeating pattern.  Notice how the number of 9s is equal to the length of the repeat.  Don't forget to reduce the fraction if you can.\n\nThere are other cases though that you asked about.  For example if there are zeroes preceeding the repeating decimal, then you need to convert as follows:\n\n0.022222222... = 2/90\n0.099999999... = 9/90 = 1/10 (same as 0.1 by the way)\n0.00054545454... = 54/99000\n0.00298298298... = 298/99900\nNote that adding zeroes to the denominator adds an equivalent number of zeroes before the repeating decimal.\n\nTo convert a decimal that begins with a non-repeating part, such as 0.21456456456456456..., to a fraction, write it as the sum of the non-repeating part and the repeating part.\n  0.21 + 0.00456456456456456...\n\nNext, convert each of these decimals to fractions. The first decimal has a divisor of power ten. The second decimal (which repeats) is converted according to the pattern given above.\n  21/100 + 456/99900\n\nNow add these fraction by expressing both with a common divisor\n  20979/99900 + 456/99900\n\nand add.\n  21435/99900\n\nFinally simplify it to lowest terms\n  1429/6660\n\nand check on your calculator or with long division.\n= 0.2145645645...\n\nThat should cover all the cases you might have.
994045
Seven-tenths (7/10), can not be simplified into a lesser fraction. It is already simplified.
1016721
actually, I use BCD for decimals\n\n0.264\n0010 0110 0100 (BCD)
50939
Use a division sign in parentheses. That way three fourths will look like (3/4).
891988
Multiply that by about 0.458
807970
move the decimal point two places to the right (or multiply by 100)\n\nso\n\n0.005049 becomes 0.5049 %
779807
Yiu would first decide how many decimal places you are going to consider.  The usual is 3.  Then work it from there...;
1184620
8 1/3 or 8.333333 or 25/3
1116225
simply multiply it with 0.4