(1/4X + 2/3X) = 12
(11/12X) = 12
12 (11/12X) = 12 * (12)
11X = 144
X =144/11
2006-10-16 16:38:00
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answer #1
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answered by osunumberonefan 5
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first combine like terms (x)
1/4 2/3 make denominator 12 for both.
1/4= 3/12 and 2/3= 8/12
3/12 + 8/12 = 11/12
now 12 divided 11/12 which is 144/11 . (when dividing fractions you multiply by the reciprocal) 12 times 12 then divided by 11
x=144/11
2006-10-16 23:44:37
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answer #2
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answered by ? 2
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1/4x + 2/3x = 12
taking LCM
(3+8)/12x = 12
=> 3+8 = 12 * 12x
=> 11 = 144x
x = 11/144
2006-10-16 23:43:57
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answer #3
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answered by shahidrock 3
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First, simplify by changing 1/4 and 2/3 into decimals by dividing the top number by the bottom number. It would look like this:
.25+.333x=12
Next, turn .333x into a variable. We'll call it "y."
Then reorder the problem and reverse the functions to find "y."
If .25+y=12, then 12-.25=y. You can calculate that 12-.25=11.75. Therefore, y=11.75.
Now, reassemble your original equation to include the value for y. It would look like this:
.25+11.75=12 Now does it look better?
Now all you have to do is divide your value for y (11.75) by .333 to get x.
11.75/.333=35.25
You should remember that .25 is the same as 1/4, so the answer with a fraction would look like this:
35 1/4.
2006-10-16 23:49:53
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answer #4
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answered by Privratnik 5
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I would start by multiplying every term by the common denominator of 12. That will get rid of the fractions.
3x + 8x = 144
11x = 144
x = 13 1/11
2006-10-16 23:39:18
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answer #5
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answered by PatsyBee 4
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first the fractions need to be converted to have common denominators (the bottom number of a fraction)..
1/4 = 3/12
2/3 = 8/12
Now your problem becomes..
3/12x + 8/12x = 12
Add fractions... (when you add fractions you add the numerator - the top number - and the common denominator stays the same.)
11/12x = 12
The rest is ???
2006-10-16 23:42:54
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answer #6
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answered by Mary 2
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common denominator 12x
3/12x + 8/12x = 12
11/12x = 12 => 12x/11 = 1/12 => x=11/144
2006-10-16 23:41:14
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answer #7
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answered by Anonymous
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multiply the 12 by the reciprical of the variables i think and make thoes variables the same denominator first.
2006-10-16 23:37:28
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answer #8
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answered by 8 2
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Find LCD and add fractions; reduce by that LCD and divide both sides by coefficient of X.
2006-10-16 23:39:12
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answer #9
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answered by Anonymous
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