English Deutsch Français Italiano Español Português 繁體中文 Bahasa Indonesia Tiếng Việt ภาษาไทย
All categories
0

1/4x + 2/3x = 12

show me how you get your answer

2006-10-16 16:34:39 · 9 answers · asked by Anonymous in Education & Reference Homework Help

9 answers

(1/4X + 2/3X) = 12
(11/12X) = 12
12 (11/12X) = 12 * (12)
11X = 144
X =144/11

2006-10-16 16:38:00 · answer #1 · answered by osunumberonefan 5 · 0 0

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 · answer #2 · answered by ? 2 · 0 0

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 · answer #3 · answered by shahidrock 3 · 0 0

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 · answer #4 · answered by Privratnik 5 · 0 0

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 · answer #5 · answered by PatsyBee 4 · 0 0

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 · answer #6 · answered by Mary 2 · 0 0

common denominator 12x

3/12x + 8/12x = 12

11/12x = 12 => 12x/11 = 1/12 => x=11/144

2006-10-16 23:41:14 · answer #7 · answered by Anonymous · 0 0

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 · answer #8 · answered by 8 2 · 0 0

Find LCD and add fractions; reduce by that LCD and divide both sides by coefficient of X.

2006-10-16 23:39:12 · answer #9 · answered by Anonymous · 0 0

fedest.com, questions and answers