# fractions and equations

• September 4th 2012, 10:56 AM
akelegna
fractions and equations
4/X+3=2/3

how can i solve this. i want to understand what i'm going to do when it's fractions on both sides.

2X/5=X+4/3
• September 4th 2012, 11:52 AM
earboth
Re: fractions and equations
Quote:

Originally Posted by akelegna
4/X+3=2/3

how can i solve this. i want to understand what i'm going to do when it's fractions on both sides.

2X/5=X+4/3

Unfortunately you didn't use grouping brackets to be clear. I assume that you mean

$\frac4{x+3} = \frac23$ ............................... instead of $\frac4x + 3 = \frac23$

Multiply by the denominators and cancel:

$\frac{4\cdot 3 \cdot (x+3)}{x+3} = \frac{2\cdot 3 \cdot (x+3)}3$

$12 = 2x + 6$

Solve for x.

The 2nd question should be done in a similar way.