x+3/12 = 2/3
3/x + 2/3 = x/6
3/x+ 2/3= 5/3x
Note: Each / Indicates a Numerator and Denominator
2006-11-14 16:48:25 · 4 answers · asked by wnnagetdirrty82787 2 in Science & Mathematics ➔ Mathematics
The best way to do this is to MULTIPLY every term by the COMMON DENOMINATOR of ALL FRACTIONS
For example
3/x + 2/3 = 5/3x
Multiply every term by 3x
you get 9 + 2x = 5,....
it never fails....for example
3/x + 2/3 = x/6....common denomoinator is 6x...so multiply every term by 6x
18 + 4x = x^2.... x^2-4x-18=0 ..... then you use the quadratic formula to factor etc..
2006-11-14 17:00:29 · answer #1 · answered by nima 2 · 0⤊ 0⤋
Obtain a common denominator for each term and then multiply both sides of the equation by the denominator to clear the fractions. Then proceed to to solve as any regular equation. Example: x + 3/12 = 2/3 => 12x/12 + 3/12 = 8/12. Multiply through by 12 and you get 12x + 3 = 8 => 12x = 8 - 3 = 5 => x = 5/12. Now check: plug in 5/12 for x in the original equation: 5/12 + 3/12 = 8/12 = 2/3. Every problem will be a variation on this type.
2006-11-14 17:09:07 · answer #2 · answered by flyfisher_20750 3 · 0⤊ 0⤋
x + 3/12 = 2/3
Multiply through by LCD (12)
12x + 3 = 8
3/x + 2/3 = x/6
Here, 6x is your LCD
18 + 4x = x^2
3/x + 2/3= 5/3x
Here, it is 3x
9 + 2x = 5
2006-11-14 17:07:21 · answer #3 · answered by Helmut 7 · 0⤊ 0⤋
just amke sure the denominators are the same..
1. 12x/12+2/12=8/12
2. 6/6x+4x/6x=x^2/6x
3. 9/3x+2x/3x=5/3x
2006-11-14 16:54:53 · answer #4 · answered by Mike P 3 · 0⤊ 0⤋